Final Program and Abstracts

Sponsored by the SIAM Activity Group on Analysis of Partial Differential Equations

The Activity Group on Analysis of Partial Differential Equations fosters activity in the analysis of partial differential equations (PDE) and enhances communication between analysts, computational scientists and the broad PDE community. Its goals are to provide a forum where theoretical and applied researchers in the area can meet, to be an intellectual home for researchers in the analysis of PDE, to increase conference activity in PDE, and to enhance connections between SIAM and the mathematics community.

SIAM 2015 Events Mobile App Scan the QR code with any QR reader and download the TripBuilder EventMobile™ app to your iPhone, iPad, iTouch or Android mobile device. You can also visit

www.tripbuilder.net/mobileweb/apps/siam2015events

Society for Industrial and Applied Mathematics 3600 Market Street, 6th Floor Philadelphia, PA 19104-2688 USA Telephone: +1-215-382-9800 Fax: +1-215-386-7999 Conference E-mail: [email protected] Conference Web: www.siam.org/meetings/ Membership and Customer Service: (800) 447-7426 (US& Canada) or +1-215-382-9800 (worldwide)

www.siam.org/meetings/pd15 2 SIAM Conference on Analysis of Partial Differential Equations

Table of Contents SIAM Registration Desk Corporate Members The SIAM registration desk is located in the and Affiliates Program-at-a-Glance...... Grand Ballroom Foyer - Main Level. It is SIAM corporate members provide their ...... See separate handout open during the following hours: employees with knowledge about, access General Information...... 2 Sunday, December 6 to, and contacts in the applied mathematics 4:00 PM – 8:00 PM and computational sciences community Get-togethers...... 4 through their membership benefits. Corporate Minitutorials...... 5 membership is more than just a bundle Prize...... 6 Monday, December 7 of tangible products and services; it is an expression of support for SIAM and its Invited Plenary Presentations...... 7 7:30 AM – 5:30 PM programs. SIAM is pleased to acknowledge Program Schedule...... 11 its corporate members and sponsors. In Poster Session...... 12 Tuesday, December 8 recognition of their support, non-member 8:00 AM – 5:30 PM attendees who are employed by the following Abstracts...... 63 organizations are entitled to the SIAM Speaker and Organizer Index...... 153 member registration rate. Conference Budget...... Inside Back Cover Wednesday, December 9 Hotel Floor Plan...... Back Cover 8:00 AM – 5:30 PM Corporate Institutional

Thursday, December 10 Members Organizing Committee 8:00 AM – 3:00 PM The Aerospace Corporation Co-Chairs Air Force Office of Scientific Research Aramco Services Company Lia Bronsard McMaster University, Canada Hotel Address AT&T Laboratories - Research David Lannes DoubleTree Resort by Hilton Paradise Valley Bechtel Marine Propulsion Laboratory Université de Bordeaux, France - Scottsdale The Boeing Company 5401 N. Scottsdale Road CEA/DAM Scottsdale, Arizona 85250 USA Department of National Defence (DND/ Organizing Committee CSEC) Andrea L. Bertozzi DSTO- Defence Science and Technology University of California Los Angeles, USA Hotel Telephone Number Organisation To reach an attendee or leave a message, call Permarco Cannarsa ExxonMobil Upstream Research University of Rome “Tor Vergata”, Italy +1-480-947-5400. If the attendee is a hotel guest, the hotel operator can connect you Hewlett-Packard Pierre Degond with the attendee’s room. Imperial College London, United Kingdom IBM Corporation IDA Center for Communications Research, Benoît Desjardins La Jolla Modélisation, Mesures et Applications SA, Hotel Check-in and France IDA Center for Communications Research, Check-out Times Princeton Robert V. Kohn Check-in time is 4:00 PM. Courant Institute of Mathematical Sciences, Institute for Computational and Experimental Check-out time is 12:00 PM. New York University, USA Research in Mathematics (ICERM) YanYan Li Institute for Defense Analyses, Center for Rutgers University, USA Child Care Computing Sciences Jeremy Marzuola The DoubleTree Resort by Hilton Paradise Lawrence Berkeley National Laboratory University of North Carolina, Chapel Hill, Valley-Scottsdale recommends the following Lockheed Martin USA two local child care options. Los Alamos National Laboratory Govind Menon * The Child’s Garden 480-354-2122 Mathematical Sciences Research Institute Brown University, USA * Arizona Lullaby Guild 602-852-0459 Max-Planck-Institute for Dynamics of Monika Nitsche Complex Technical Systems University of New Mexico, USA Mentor Graphics Fabio Nobile The MITRE Corporation École Polytechnique Fédérale de Lausanne, Switzerland SIAM Conference on Analysis of Partial Differential Equations 3

National Institute of Standards and a Non-Member Mini Speaker/Organizer) projector. The data projectors support VGA Technology (NIST) towards a SIAM membership. Contact SIAM connections only. Presenters requiring an HDMI or alternate connection must provide National Security Agency (DIRNSA) Customer Service for details or join at the conference registration desk. their own adaptor. Oak Ridge National Laboratory, managed by UT-Battelle for the Department of Energy If you have questions regarding availability Sandia National Laboratories If you are a SIAM member, it only costs $10 to join the SIAM Activity Group on the of equipment in the meeting room of your Schlumberger-Doll Research Analysis of Partial Differential Equations presentation, please see a SIAM staff member Tech X Corporation (SIAG/APDE). As a SIAG/APDE member, at the registration desk. U.S. Army Corps of Engineers, Engineer you are eligible for an additional $10 Research and Development Center discount on this conference, so if you paid the SIAM member rate to attend the United States Department of Energy Internet Access conference, you might be eligible for a free The DoubleTree Resort by Hilton Paradise SIAG/APDE membership. Check at the Valley offers wireless Internet access to registration desk. List current October 2015. guestrooms in the SIAM block and in public areas of the hotel at no additional charge. Free Student Memberships are available to students who attend an institution that is an Funding Agencies Complimentary wireless Internet access in Academic Member of SIAM, are members SIAM and the conference organizing the meeting space is also available to SIAM of Student Chapters of SIAM, or are committee wish to extend their thanks attendees. and appreciation to U.S. National Science nominated by a Regular Member of SIAM. Foundation and U.S. Department of Energy In addition, a limited number of computers for their support of this conference. Join onsite at the registration desk, go to with Internet access will be available during www.siam.org/joinsiam to join online or registration hours. download an application form, or contact SIAM Customer Service: Telephone: +1-215-382-9800 (worldwide); or 800-447-7426 (U.S. and Canada only) Registration Fee Includes Fax: +1-215-386-7999 • Admission to all technical sessions E-mail: [email protected] • Business Meeting (open to SIAG/APDE members) Postal mail: Society for Industrial and • Coffee breaks daily Applied Mathematics, 3600 Market Street, Leading the applied 6th floor, Philadelphia, PA 19104-2688 USA • Poster Session mathematics community . . . • Room set-ups and audio/visual equipment • Welcome Reception and Poster Session Join SIAM and save! Standard Audio/Visual SIAM members save up to $130 on full Job Postings registration for the 2015 SIAM Conference Set-Up in Meeting Rooms on Analysis of Partial Differential SIAM does not provide computers for Please check with the SIAM registration desk Equations! Join your peers in supporting any speaker. When giving an electronic regarding the availability of job postings or the premier professional society for applied presentation, speakers must provide their visit http://jobs.siam.org. mathematicians and computational scientists. own computers. SIAM is not responsible SIAM members receive subscriptions for the safety and security of speakers’ to SIAM Review, SIAM News and SIAM computers. Unwrapped, and enjoy substantial discounts on SIAM books, journal subscriptions, and conference registrations. The Plenary Session Room will have two (2) screens, one (1) data projector and one (1) overhead projector. The data projectors If you are not a SIAM member and paid the support VGA connections only. Presenters Non-Member or Non-Member Mini Speaker/ requiring an HDMI or alternate connection Organizer rate to attend the conference, must provide their own adaptor. you can apply the difference between what you paid and what a member would have paid ($130 for a Non-Member and $65 for All other concurrent/breakout rooms will have one (1) screen and one (1) data 4 SIAM Conference on Analysis of Partial Differential Equations

Important Notice to Poster Get-togethers The SIAM 2015 Events Presenters Welcome Reception and Poster Session Mobile App Powered by The poster session is scheduled for Sunday, Sunday, December 6 TripBuilder® December 6, from 6:00 PM – 8:00 PM. 6:00 PM – 8:00 PM To enhance your conference experience, Poster presenters are requested to set up we’re providing a state-of-the-art mobile their poster material no later than 6:00 app to give you important conference PM on Sunday, the official start time of Business Meeting information right at your fingertips. With this the session. Posters will remain on display (open to SIAG/APDE members) TripBuilder EventMobile™ app, you can: through Thursday, December 10 and Tuesday, December 8 must be removed by 11:00 AM. Posters 7:15 PM – 8:00 PM • Create your own custom schedule remaining after this time will be discarded. SIAM is not responsible for discarded Complimentary beer and wine will be served. • View Sessions, Speakers, Exhibitors and posters. more • Take notes and export them to your email • View Award-Winning TripBuilder SIAM Books and Journals Please Note Recommendations for the meeting location Display copies of books and complimentary SIAM is not responsible for the safety and • Get instant Alerts about important copies of journals are available on site. security of attendees’ computers. Do not leave conference info SIAM books are available at a discounted your laptop computers unattended. Please price during the conference. If a SIAM remember to turn off your cell phones, pagers, books representative is not available, etc. during sessions. completed order forms and payment (credit cards are preferred) may be taken to the SIAM registration desk. The books Recording of Presentations table will close at 12:00 PM on Thursday, Audio and video recording of presentations December 10. at SIAM meetings is prohibited without the written permission of the presenter and SIAM.

Name Badges SIAM 2015 Events Mobile App A space for emergency contact information Social Media Scan the QR code with any QR reader and is provided on the back of your name SIAM is promoting the use of social media, download the TripBuilder EventMobile™ badge. Help us help you in the event of an such as Facebook and Twitter, in order to app to your iPhone, iPad, iTouch or Android emergency! enhance scientific discussion at its meetings mobile device. and enable attendees to connect with each To access the app or the HTMLS version, other prior to, during and after conferences. visit www.tripbuilder.net/mobileweb/apps/ If you are tweeting about a conference, Comments? siam2015events/ please use the designated hashtag to enable Comments about SIAM meetings are other attendees to keep up with the Twitter encouraged! Please send to: conversation and to allow better archiving of Cynthia Phillips, SIAM Vice President for our conference discussions. The hashtag for Programs ([email protected]). this meeting is #SIAMPD15. SIAM Conference on Analysis of Partial Differential Equations 5

Minitutorials

Tuesday, December 8 5:00 PM – 7:00 PM MT1 PDE Aspects of Mean Field Games Room: Forum – Lower Level Organizer: Pierre Cardaliaguet, Université Paris Dauphine, France

Wednesday, December 9 5:15 PM – 7:15 PM MT2 Simulating Stochastic Systems Room: Forum – Lower Level Organizer: Jonathan Weare, University of Chicago, USA 6 SIAM Conference on Analysis of Partial Differential Equations

Prize Lecture

Wednesday, December 9 2:00 PM – 2:45 PM SP1 SIAG/Analysis of Partial Differential Equations Prize Lecture Slow Modulation and Large-time Dynamics Near Periodic Waves Room: Forum – Lower Level Miguel Rodrigues, Université de Rennes 1, France SIAM Conference on Analysis of Partial Differential Equations 7

Invited Plenary Speakers ** All Invited Plenary Presentations will take place in Forum - Lower Level**

Monday, December 7 11:00 AM – 11:45 AM IP1 Tracing Genealogy Within an Invasion Wave Kerry A. Landman, University of Melbourne, Australia

11:45 AM – 12:30 PM IP2 Regularity Properties of the Euler Equations in Lagrangian Variables Vlad C. Vicol, Princeton University, USA

Tuesday, December 8 11:00 AM – 11:45 AM IP3 Hypersurfaces with Almost Constant Mean Curvature and Capillarity Theory Francesco Maggi, University of Texas at Austin, USA

11:45 AM – 12:30 PM IP4 Long Time Dynamics for Two Dimensional Water Wave Models Daniel Tataru, University of California, Berkeley, USA

Wednesday, December 9 11:00 AM – 11:45 AM IP5 Optimal Shape and Location of Sensors or Actuators in PDE Models Emmanuel Trélat, Université Pierre et Marie Curie, France

11:45 AM – 12:30 PM IP6 The Abelian Sandpile and Circle Packings Charles Smart, Cornell University, USA 8 SIAM Conference on Analysis of Partial Differential Equations

Invited Prenary Speakers ** All Invited Plenary Presentations will take place in Forum - Lower Level**

Thursday, December 10 11:00 AM – 11:45 AM IP7 Scientific Computing in the Movies and Virtual Surgery Joseph Teran, University of California, Los Angeles, USA

11:45 AM – 12:30 PM IP8 Customising Image Analysis Using Nonlinear Partial Differential Equations Carola-Bibiane Schönlieb, University of Cambridge, United Kingdom SIAM Conference on Analysis of Partial Differential Equations 9

SIAM Activity Group on Analysis of Partial Differentioal Equations (SIAG/PDE) www.siam.org/activity/pde A GREAT WAY TO GET INVOLVED!

Collaborate and interact with mathematicians and applied scientists whose work involves analysis of partial differential equations ACTIVITIES INCLUDE: • Special sessions at SIAM meetings • Biennial conference • SIAG/PDE newsletter • SIAG/PDE Prize • PDE website

BENEFITS OF SIAG/PDE MEMBERSHIP: • Listing in the SIAG’s online membership directory • Additional $10 discount on registration for the SIAM Conference on Analysis of Partial Differential Equations (excludes students) • Electronic communications about recent developments in your specialty • Eligibility for candidacy for SIAG/PDE office • Participation in the selection of SIAG/PDE officers

ELIGIBILITY: • Be a current SIAM member.

COST: • $10 per year • Student members can join two activity groups for free!

2014—2016 SIAG/PDE OFFICERS: • Chair: Helena Nussenzveig Lopes • Vice-Chair: Dejan Slepcev • Program Director: Lia Bronsard • Secretary: Becca Thomases

TO JOIN SIAG/PDE my.siam.org/forms/join_siag.htm SIAM: www.siam.org/joinsiam

Society for Industrial and Applied Mathematics 3600 Market Street, 6th Floor • Philadelphia, PA 19104 USA Phone +1-215-382-9800 • 800-447-SIAM (toll free USA/Canada) Fax +1-215-386-7999 • www.siam.org 10 SIAM Conference on Analysis of Partial Differential Equations SIAM Conference on Analysis of Partial Differential Equations 11

PD15 Program 12 SIAM Conference on Analysis of Partial Differential Equations

Sunday, Monday, Monday, December 7 December 6 December 7 MS1 Partial Differential Equations in Image Analysis and Registration Registration Processing - Part I of II 4:00 PM-8:00 PM 7:30 AM-5:30 PM 8:30 AM-10:30 AM Room:Grand Ballroom Foyer - Main Level Room:Grand Ballroom Foyer - Main Level Room:Forum - Lower Level For Part 2 see MS17 Nonlinear partial differential equations and non-smooth variational methods PP1 constitute one of the main analytical tools for modelling, analyzing and processing Welcome Reception and images. Apart from them being powerful Poster Session computational tools for processing images, they are interesting mathematical 6:00 PM-8:00 PM objects whose analysis often requires very Room:Forum - Lower Level sophisticated tools from nonlinear PDE analysis, variational calculus, geometric Four-Step Hybrid Type Method with measure theory and functional analysis. In Vanished Phase-Lag and Its First this minisymposium we showcase some Derivatives for Each Level for the recent approaches that include transport Approximate Integration of the equations for image restoration, PDEs on Schrodinger Equation graphs for data clustering, free discontinuity Ibraheem Alolyan, King Saud University, approaches for image segmentation and Saudia Arabia non-smooth variational approaches for multi- Phase Slip Solutions in Magnetically channel image processing. Modulated Taylor-Couette Flow Farzana Khan, Quaid-i-Azam University, Organizer: Carola B. Islamabad, Pakistan; Rainer Hollerbach, Schoenlieb Leeds University, United Kingdom University of Cambridge, United Kingdom Charged Boundary-Layer Domain Organizer: Laird Robert Walls in Thin Ferromagnetic Films Ross Lund and Cyrill B. Muratov, New Hocking Jersey Institute of Technology, USA; University of Cambridge, United Kingdom Valeriy Slastikov, University of Bristol, 8:30-8:55 Reverse Engineering a Pde United Kingdom from An Image Inpainting Algorithm Frechet Differentiability in the Laird Robert Hocking, University of Optimal Control of Parabolic Free Cambridge, United Kingdom Boundary Problems 9:00-9:25 Geometric Graph Based Jessica Pillow, Rhodes College, USA; Algorithms Ugur G. Abdulla, Florida Institute of Andrea L. Bertozzi, University of California, Technology, USA; Dylanger Pittman, Los Angeles, USA Williams College, USA; Jonathan 9:30-9:55 A Chromaticity-Brightness Goldfarb, Florida Institute of Technology, Model for Color Images Denoising USA Irene Fonseca, Carnegie Mellon University, USA 10:00-10:25 Variational Approach to Image Segmentation and Inpainting Franco Tomarelli, Politecnico di Milano, Italy SIAM Conference on Analysis of Partial Differential Equations 13

Monday, December 7 Monday, December 7 Monday, December 7 MS2 MS3 MS4 Nonlocal Interaction Convex Integration and Fluid Models, Turbulence Models: Dynamics, Degenerate Solutions to and Data Assimilation - Asymptotics and Nonlinear PDEs in Geometry Part I of II Applications - Part I of II and Physics - Part I of II 8:30 AM-10:30 AM 8:30 AM-10:30 AM 8:30 AM-10:30 AM Room:Sedona - Main Level Room:Rio Verde - Main Level Room:Sonora - Main Level For Part 2 see MS18 For Part 2 see MS15 For Part 2 see MS30 Many dissipative dynamical systems of A range of physical and biological This minisymposium concerns questions practical interest arise in the context of systems — from biological swarms and of flexibility and rigidity of solutions to geophysical flows related to the atmosphere granular media to crystallization and nonlinear pdes, with a focus on degenerate and ocean. The dynamics of such models self-assembly of nano particles — can (flexible) weak solutions which can be are generically chaotic and “turbulent,” be described by mathematical models obtained through methods of convex calling for a probabilistic framework to of nonlocal interactions. The purely integration. Recent advances regarding properly analyze the underlying phenomena. nonlocal nature of these models presents Holder continuous dissipative solutions to Moreover, due to the imprecise knowledge a variety of mathematical challenges that Euler equations have renewed the interest of the initial condition for the governing require techniques from diverse areas in applying these methods to a wider equations, it can be helpful to dynamically applied mathematics to be combined in range of problems, including the Monge- update the solution with data collected new ways. With this minisymposium, we Ampere and transport equations. Similar continuously-in-time to improve prediction. aim to bring together young researchers efforts have also lead to progress regarding This symposium will therefore focus on and leading scholars who study nonlocal isometric immersions. Our objective is the interplay of topics such as regularity, interaction models and their applications to bring together scientists involved with data assimilation, asymptotic dynamics and via variational, dynamical and asymptotic flexibility vs. rigidity in fluid dynamics and statistical/stochastic solutions in analyzing analysis. in geometric pdes, in order to investigate turbulence in dissipative dynamical systems. discuss advances and challenges from Organizer: Katy Craig Organizer: Vincent R. Martinez different perspectives Tulane University, USA University of California, Santa Barbara, USA Organizer: Marta Lewicka Organizer: Michael S. Jolly University of Pittsburgh, USA Indiana University, USA Organizer: Ihsan A. Topaloglu Organizer: Reza Pakzad McMaster University, Canada Organizer: Animikh Biswas University of Pittsburgh, USA University of Maryland, Baltimore County, 8:30-8:55 Attractive-Repulsive 8:30-8:55 Convex Integration and USA Interaction of Sets and Height Infinitely Many Weak Solutions to Constrained Densities 8:30-8:55 A Data Assimilation the Perona-Malik Equation in All Ihsan A. Topaloglu, McMaster University, Algorithm for the Hyperdissipative Dimensions Canada Sqg Equation Baisheng Yan, Michigan State University, Vincent R. Martinez, Tulane University, 9:00-9:25 Existence and Geometry of USA; Seonghak Kim, Renmin University USA; Michael S. Jolly, Indiana University, Minimisers for the Interaction Energy of China, China USA; Edriss Titi, Texas A&M University, Francesco Patacchini, Imperial College 9:00-9:25 Convex Integration for USA London, United Kingdom Active Scalar Equations 9:00-9:25 Backward in Time Behavior 9:30-9:55 A New Method for Finding Philip Isett, Massachusetts Institute of of Nonlinear Dissipative Equations – Approximate Global Minimizers to Technology, USA The Effect of Energy Spectra Pairwise Interaction Problems 9:30-9:55 A Nash-Kuiper Theorem for Yanqiu Guo, Weizmann Institute of David Shirokoff, New Jersey Institute of C1,1/5-ε Embeddings of Surfaces in 3 Science, Israel; Edriss S. Titi, Texas A&M Technology, USA Dimensions University, USA and Weizmann Institute 10:00-10:25 Nonlocal Functionals Dominik Inauen and Camillo De Lellis, of Science, Israel and Dimensionality Reduction University of Zurich, Switzerland; László Xin Yang Lu and Dejan Slepcev, Carnegie Jr. Székelyhidi, University of Leipzig, Mellon University, USA Germany 10:00-10:25 Convex Integration for the Monge-Ampere Equation Marta Lewicka and Reza Pakzad, University of Pittsburgh, USA continued on next page 14 SIAM Conference on Analysis of Partial Differential Equations

Monday, December 7 Monday, December 7 Monday, December 7 MS4 MS5 MS6 Fluid Models, Turbulence Analysis and Control of Coherent Structures in and Data Assimilation - Fluid Models and Flow- Hamiltonian PDE - Part I of III Part I of II coupled Systems - 8:30 AM-10:30 AM 8:30 AM-10:30 AM Part I of IV Room:Coronado - Main Level Room:Sedona - Main Level 8:30 AM-10:30 AM For Part 2 see MS20 Hamiltonian partial differential equations continued Room:Palomas - Main Level appear in many fields including plasma For Part 2 see MS19 physics, optics and fluid mechanics, where This minisymposium will serve to promote they can characterize wave phenomenon such and disseminate recent developments on 9:30-9:55 The Regularized 3D as solitons, wave collapse and turbulence. evolution PDEs, especially those describing Boussinesq Equations with Fractional Hamiltonian partial differential equations fluid or gas flows and their interaction with Laplacian and No Diffusion provide a variety of challenges, ranging other types of dynamics such as plates Hakima Bessaih, University of Wyoming, from well-posedness to numerical methods. or elastic solids, with fixed or moving USA This session will survey recent advances in interfaces. Questions on modeling, well- Hamiltonian Partial Differential Equations, 10:00-10:25 Analyticity Properties of posedness, control, stability, optimization including progress on blow-ups of nonlinear the Navier-Stokes and Euler Equations and numerical simulations will be of Schrodinger equations, rigorous derivation Igor Kukavica, University of Southern primary interest. of focusing NLS from quantum many-body California, USA Organizer: Marcelo Disconzi systems, and well-posedness of wave maps. Vanderbilt University, USA Organizer: Magdalena Czubak Organizer: Irena M. Lasiecka Binghamton University, USA University of Memphis, USA Organizer: Gideon Simpson Organizer: Daniel Toundykov Drexel University, USA University of Nebraska-Lincoln, USA Organizer: Daniel Spirn Organizer: Justin T. Webster University of Minnesota, USA North Carolina State University, USA Organizer: Catherine Sulem 8:30-8:55 An Energy-Conserving University of Toronto, Canada One-Dimensional Model of 3D Euler 8:30-8:55 Effective Dynamics of Stephen Preston, University of Colorado Charged Interfaces Boulder, USA Kyle Thompson, University of Toronto, 9:00-9:25 Long Time Solutions for Canada Two Dimensional Water Waves 9:00-9:25 Canonical Transformations Mihaela Ifrim, McMaster University, on Null Forms Canada; Daniel Tataru, University of Amanda French, Walter Craig, and Chi-Ru California, Berkeley, USA; John Hunter, Yang, McMaster University, Canada University of California, Davis, USA 9:30-9:55 Wave Maps on Hyperbolic 9:30-9:55 Stabilization of a Space Boussinesq System for Surface Water Andrew Lawrie, University of California, Waves Berkeley, USA Ademir Pazoto, Federal University of Rio de Janerio, Brazil; Sorin Micu, 10:00-10:25 Recent Progress on the University of Craiova, Romania Wave Maps Equation on Hyperbolic Spaces 10:00-10:25 On Nonlocal Differential Sohrab Shahshahani, University of Michigan, Operators and Applications USA Andrei Tarfulea, Princeton University, USA SIAM Conference on Analysis of Partial Differential Equations 15

Monday, December 7 Monday, December 7 Monday, December 7 MS7 MS8 MS9 Ginzburg-Landau Theory Multiscale Analysis, Transport Theory in Complex and Related Topics - Part I Modeling and Simulation Particle Systems - Part I of II of III for Applications in Material 8:30 AM-10:30 AM 8:30 AM-10:30 AM Science - Part I of III Room:Rattlers - Main Level Room:Center Ballroom - Main Level 8:30 AM-10:30 AM For Part 2 see MS23 For Part 2 see MS21 Room:Bouchon - Main Level This minisymposium will focus on common The mathematical tools developed to study issues associated with analytical methods for For Part 2 see MS22 dispersive and dissipative nonlinear partial variational models for superconducting In recent years we have witnessed a systems are often successfully used or integral transport equations arising in tremendous growth of activity on developing many areas of mathematical and statistical in other areas of materials science, to methods for materials-related phenomena examine phenomena such as topological physics in the study of quantum and kinetic whose essential role extends over multiple theories. These models arise in the study of defects in liquid crystals and solids. The scales in time and space. The proposed minisymposium will feature speakers with microscopic dynamics of complex interacting minisymposium will focus on multiscale systems derived into nonlinear and nonlocal an interest and background in the analysis modeling, analysis and simulation of the and modeling of superconducting materials. quantum and kinetic systems and their problems arising in composite and other macroscopic approximations into PDEs for Research on both dynamic and stationary heterogeneous media. In particular, topics problems will be presented. Topics will classical dynamics. Discussions will focus on that will be discussed include but not limited analytical properties of particle interacting include behavior of minimizers, vortex to are asymptotic analysis, homogenization, filaments, vortex scattering and traveling transport models such as non-linear inverse problems, and computational tools Schroedinger, Vlasov or Boltzmann type, by waves in Ginzburg- Landau and related for complex inhomogeneous media. The models. means of classical, probabilistic and stochastic purpose of this section is to enable contact analysis methods. Organizer: Tiziana Giorgi between researchers working on multiscale methods with an update on recent progress in Organizer: Maja Taskovic New Mexico State University, USA this field. University of Texas at Austin, USA Organizer: Dmitry Golovaty Organizer: Silvia Jimenez Organizer: Irene M. Gamba University of Akron, USA University of Texas at Austin, USA Bolanos 8:30-8:55 Some Geometric Ginzburg- Colgate University, USA Organizer: Natasa Pavlovic Landau Problems University of Texas at Austin, USA Robert Jerrard, University of Toronto, Organizer: Yuliya Gorb 8:30-8:55 Random Versus Probabilistic Canada University of Houston, USA Approach in the Study of Wave and 9:00-9:25 Defect Solutions in Vector- 8:30-8:55 Homogenization of a Dispersive Equations Valued Singular Problems Transmission Problem Gigliola Staffilani, Massachusetts Institute of Andres A. Contreras, New Mexico State Shari Moskow, Drexel University, USA Technology, USA University, USA 9:00-9:25 On Mathematical Modeling 9:00-9:25 Many Body Dynamics, 9:30-9:55 Analysis of Minimizers of the of Charged Laminate Materials Nonlinear Dispersive PDE and Lawrence-Doniach Model for Layered Burt S. Tilley, Worcester Polytechnic Quantum De Finetti Theorems Superconductors in Magnetic Fields Institute, USA; Daniel Gendin, Boston Thomas Chen, University of Texas at Austin, Guanying Peng, University of Cincinnati, University, USA USA; Christian Hainzl, University of USA; Patricia Bauman, Purdue University, 9:30-9:55 Equations for Poroelastic Tuebingen, Germany; Natasa Pavlovic, USA Materials University of Texas at Austin, USA; Robert 10:00-10:25 Vortex Scattering and the Miao-Jung Y. Ou, University of Delaware, Seiringer, Princeton University, USA Gross-Pitaevskii Equation USA 9:30-9:55 Dynamics of Fermions Near Matthias Kurzke, University of Nottingham, 10:00-10:25 On Well Productivity Thermal Equilibrium Interacting with United Kingdom; Jeremy L. Marzuola, Index for Compressible Fluid, and Power Nonlinearities University of North Carolina at Chapel Applications Thomas Chen, Younghun Hong, and Natasa Hill, USA; Daniel Spirn, University of Lidia Bloshanskaya, State University of Pavlovic, University of Texas at Austin, Minnesota, USA New York, New Paltz, USA; Eugenio USA Aulisa and Akif Ibragimov, Texas Tech 10:00-10:25 Global Behavior and Non- University, USA squeezing for the NLKG Dana Mendelson, Massachusetts Institute of Technology, USA 16 SIAM Conference on Analysis of Partial Differential Equations

Monday, December 7 Monday, December 7 9:30-9:55 A Multi-Level Compressed Sensing Petrov-Galerkin Method for the MS10 MS11 Approximation of Parametric PDEs Jean-Luc Bouchot, Drexel University, USA; Large-Time Dynamics of the Advances in Theoretical Benjamin Bykowski and Holger Rauhut, Navier-Stokes Equations and and Numerical Analysis of RWTH Aachen University, Germany; Related Models Parametrized PDEs in High Christoph Schwab, ETH Zürich, Switzerland Dimension - Part I of II 10:00-10:25 Compressed Sensing 8:30 AM-10:30 AM Approaches for Polynomial Room:Chambers Lecture Hall - Main Level 8:30 AM-10:30 AM Approximation of Hilbert-Valued The accurate, reliable prediction of the long- Room:Four Peaks - Upper Level Functions on Lower Sets Clayton G. Webster, Abdellah Chkifa, and time dynamical evolution of hydrodynamic For Part 2 see MS25 systems has become increasingly important Hoang A. Tran, Oak Ridge National This minisymposium focuses on advances Laboratory, USA in the climatological, astrophysical, and in numerical analysis of parametrized PDEs. geophysical sciences. Mathematically Predicting the behavior of the solution map quantifying this behaviour allows for more relies on constructing solutions in terms accurate and cost-effective reduced models, of high-dimensional spaces, particularly and helps validate existing models, leading in the case when the input data depend on to more realistic real-time predictions for the a large number of parameters. For higher long-time dynamics of such systems. This accuracy, simulations must increase the minisymposium will address the long-time number of dimensions, and expend more dynamics of hydrodynamic models such effort resolving smooth or even discontinuous as the Navier-Stokes equations and related behavior within each dimension. The models. Of particular interest are the study of resulting explosion in computational effort the global attracting set, techniques in data is a symptom of the curse of dimensionality. assimilation, asymptotically reduced models, This mini-symposium aims at exploring and the global well-posedness in time of these recent breakthroughs in analysis of sparse models. sampling and representations, least squares Organizer: Adam Larios projection, compressed sensing, low-rank approximations. University of Nebraska, Lincoln, USA 8:30-8:55 Determining Modes for 3D Organizer: Abdellah Chkifa Navier-Stokes Oak Ridge National Laboratory, USA Landon Kavlie, University of Illinois, Chicago, USA Organizer: Hoang A. Tran Oak Ridge National Laboratory, USA 9:00-9:25 Ergodicity Results for Stochastic Boussinesq Equations Organizer: Clayton G. Webster Geordie Richards, University of Rochester, Oak Ridge National Laboratory, USA USA; Juraj Foldes, Université Libre de Bruxelles, Belgium; Nathan Glatt-Holtz, Organizer: Guannan Zhang Virginia Tech, USA; Enrique A. Thomann, Oak Ridge National Laboratory, USA Oregon State University, USA 8:30-8:55 Multi-Level Monte Carlo with 9:30-9:55 Statistical Solutions and the Control Variate for Elliptic Pdes with Asymptotic Behaviour of Evolutionary Log-Normal Coefficients. Systems Fabio Nobile, EPFL, Switzerland Ricardo Rosa, Universidade Federal do Rio 9:00-9:25 High-Dimensional De Janeiro, Brazil Approximation Using Equilibrium 10:00-10:25 Global Attractors for Measures Discrete Dynamical Systems Which Akil Narayan, University of Massachusetts, Approximate the Two-Dimensional Dartmouth, USA; John D. Jakeman, Navier Stokes Equations and the Sandia National Laboratories, USA; Tao Model Error in the Ns-Alpha Model. Zhou, Chinese Academy of Sciences, Eric Olson, University of Nevada, Reno, USA China

continued in next column SIAM Conference on Analysis of Partial Differential Equations 17

Monday, December 7 Monday, December 7 Monday, December 7 MS12 MS13 CP1 Challenges in the Complex Systems Arising Elliptic Problems Mechanics of Thin Elastic in Biology and Economics - 8:30 AM-10:30 AM Structures - Part I of III Part I of II Room:San Carlos - Main Level 8:30 AM-10:30 AM 8:30 AM-10:00 AM Chair: Giles Auchmuty, University of Room:Flagstaff A - Upper Level Room:Flagstaff B - Upper Level Houston, USA For Part 2 see MS14 For Part 2 see MS26 8:30-8:45 The Laplace Equation and The mechanics of thin structures is a field Partial differential equation systems have The Numerical Analysis For Streamline where geometry and mechanics interact, become ubiquitous in modern science. Around a Circle leading to deep questions in PDE and the Applications arising in Biology and Jacobs Andreas Atohema Somnic, Bandung calculus of variations. Current issues include Economics provide complex systems Institute of Technology, Indonesia (i) understanding the patterns and defects which are challenging from a modeling, 8:50-9:05 Steklov Eigenproblems produced by compressive loads in flat or numerical, and analytical perspective. In and Representations of Solutions of cylindrical structures; (ii) understanding this minisymposium, we will discuss several Laplace’s Equation how growth, misfit, or crystalline defects such complex systems and their relationship Giles Auchmuty, University of Houston, USA influence the preferred shape of a thin with current PDE research. 9:10-9:25 Steklov Representations of structure; and (iii) understanding the Organizer: Daniel Brinkman Harmonic Functions and Applications emergence of localized structures such as Arizona State University, USA Giles Auchmuty and Manki Cho, University folds and conical singularities. The talks of Houston, USA in this 3-part minisymposium will address Organizer: Sebastien Motsch 9:30-9:45 Computing the Thermal these and related problems, drawing on tools Arizona State University, USA from geometry, mechanics, the calculus of Properties of Ground Heat Exchangers variations, and PDE. 8:30-8:55 Mathematics of Insurance: Paul Christodoulides and Georgios Florides, Continuous Time Approximations Cyprus University of Technology, Cyprus Daniel Brinkman, Arizona State University, Organizer: Robert V. Kohn 9:50-10:05 Asymptotics for the Best USA Courant Institute of Mathematical Sciences, Sobolev Constants and Their Extremal New York University, USA 9:00-9:25 Agent Based Simulations for Functions 8:30-8:55 Folding Patterns in Partially Chip Sales to High-End Gamers Grey Ercole and Gilberto Pereira, Delaminated Thin Films Andee Thatcher, Arizona State University, Universidade Federal de Minas Gerais, Sergio Conti, Universität Bonn, Germany USA Brazil 9:00-9:25 Unstretchable Two- 9:30-9:55 Model Predictive Control for 10:10-10:25 Radial Eigenpairs of Dimensional Elastic Bodies: Many Agent Systems P-Laplacian Via Inverse Iterations Kinematics and Energetics Michael Herty, RWTH Aachen University, Julio Cesar Espirito Santo, Universidade Eliot Fried, Okinawa Institute of Science Germany Federal de Ouro Preto, Brazil; Grey and Technology, Japan Ercole, Universidade Federal de Minas 9:30-9:55 Isometric Immersions Gerais, Brazil; Eder Marinho Martins, and Self Similar Buckling in Non- Universidade Federal de Ouro Preto, Brazil Euclidean Elastic Sheets John A. Gemmer, Brown University, USA; Shankar C. Venkataramani, University of Arizona, USA; Eran Sharon, The Hebrew Coffee Break University, Israel 10:30 AM-10:55 AM 10:00-10:25 Understanding Room:Forum - Lower Level Mechanisms of High Sensitivity of Buckling Loads to Imperfections. Yury Grabovsky, Temple University, USA; Davit Harutyunyan, University of Utah, Welcome Remarks USA 10:55 AM-11:00 AM Room:Forum - Lower Level 18 SIAM Conference on Analysis of Partial Differential Equations

Monday, December 7 Monday, December 7 Monday, December 7 IP1 IP2 MS14 Tracing Genealogy Within Regularity Properties of Euler Challenges in the an Invasion Wave Equations in Lagrangian Mechanics of Thin Elastic 11:00 AM-11:45 AM Variables Structures - Part II of III Room:Forum - Lower Level 11:45 AM-12:30 PM 2:30 PM-4:30 PM Chair: Andrea L. Bertozzi, University of Room:Forum - Lower Level Room:Forum - Lower Level California, Los Angeles, USA Chair: Jeremy L. Marzuola, University of For Part 1 see MS12 Cell invasion, whereby cells move and North Carolina at Chapel Hill, USA For Part 3 see MS38 undergo cell division, occurs in tumor The Euler equations for ideal incompressible The mechanics of thin structures is a field growth, wound healing and during embryonic fluids have two formulations, an Eulerian where geometry and mechanics interact, development. Continuum models of cell and a Lagrangian one. These formulations leading to deep questions in PDE and the invasion typically employ the well-known are equivalent in the smooth regime (the calculus of variations. Current issues include Fisher equation. This PDE supports travelling velocity field lies in the Holder space 1,C γ (i) understanding the patterns and defects wave solutions, making the population- for some γε (0,1), and the particle paths produced by compressive loads in flat or level behavior highly predictable. However, are just the characteristics associated to cylindrical structures; (ii) understanding recent individual cell lineage experiments the Eulerian velocity fields. In this talk we how growth, misfit, or crystalline defects (within a predictable cell invasion wave) discuss three instances when the classical influence the preferred shape of a thin revealed a surprising result: the contribution solution of the Euler equations has some structure; and (iii) understanding the of individual cells is highly unequal. This remarkably good regularity properties, emergence of localized structures such as paradoxical behavior is examined using when looked at in Lagrangian variables. In folds and conical singularities. The talks various tools, including PDEs to track of the contrast, we then show that these regularity in this 3-part minisymposium will address number of divisions that cells undergo within properties are false when looked at in these and related problems, drawing on tools an invasion wave. The method provides a Eulerian variables. Moreover, we prove that from geometry, mechanics, the calculus of potentially useful technique for deducing cell some Lagrangian regularity properties are variations, and PDE. lineage data when imaging every cell is not natural for a large class of incompressible Organizer: Robert V. Kohn feasible. inviscid hydrodynamic models, with slightly Courant Institute of Mathematical Sciences, better than Lipschitz velocity fields. This New York University, USA Kerry A. Landman is part of joint works with Peter Constantin University of Melbourne, Australia (Princeton), Igor Kukavica (USC), and 2:30-2:55 Sharp Korn Inequalities in Jiahong Wu (Oklahoma State). Thin Domains: the “First and a Half” Korn Inequality Vlad C. Vicol Davit Harutyunyan, University of Utah, USA Princeton University, USA 3:00-3:25 Homogenization of Defects: the Emergence of Torsion Raz Kupferman and Cy Maor, Hebrew University, Israel 3:30-3:55 Sobolev Rigidity of Convex Lunch Break Shells 12:30 PM-2:30 PM Reza Pakzad and Luca Codenotti, University of Pittsburgh, USA Attendees on their own 4:00-4:25 Energy Scaling for the Regular Cone in the von-Kármán Setting Heiner Olbermann, University of Bonn, Germany SIAM Conference on Analysis of Partial Differential Equations 19

Monday, December 7 3:30-3:55 Analysis of a Particle Monday, December 7 Method for the Aggregation Equation MS15 Martin Campos Pinto, CNRS, France; José MS16 A. Carrillo, Imperial College London, Nonlocal Interaction Models: United Kingdom; Frédérique Charles, Pattern Formation in Dynamics, Asymptotics and Laboratoire Jacques-Louis Lions, France; Nonlinear Systems - Applications - Part II of II Young-Pil Choi, Imperial College London, Part I of II United Kingdom 2:30 PM-4:30 PM 2:30 PM-5:00 PM 4:00-4:25 Interaction Models with Room:Rio Verde - Main Level Nonlinear Diffusion Room:Sonora - Main Level For Part 1 see MS2 Razvan Fetecau, Simon Fraser University, For Part 2 see MS29 A range of physical and biological systems Canada; Martin Burger, University of The general purpose of this special session — from biological swarms and granular Muenster, Germany; Yanghong Huang, is to bring together researchers who work on media to crystallization and self-assembly Imperial College London, United Kingdom various issues related to nonlinear waves and of nano particles — can be described by patterns in partial differential equations that mathematical models of nonlocal interactions. arise in physics, chemistry, and biology. More The purely nonlocal nature of these models specifically, existence and stability of such presents a variety of mathematical challenges solutions to partial differential equations in that require techniques from diverse areas one and more dimensions will be discussed. applied mathematics to be combined in new The session will place a special emphasis on ways. With this minisymposium, we aim to Evans function method and methods from bring together young researchers and leading bifurcation theory. scholars who study nonlocal interaction models and their applications via variational, Organizer: Stephane Lafortune dynamical and asymptotic analysis. College of Charleston, USA Organizer: Katy Craig Organizer: Vahagn Manukian University of California, Santa Barbara, USA Miami University, USA 2:30-2:55 Numerical Bifurcation Study Organizer: Ihsan A. Topaloglu for Viscous Shock Waves McMaster University, Canada Blake Barker, Brown University, USA; Rafael 2:30-2:55 Energy Driven Pattern Monteiro, and Kevin Zumbrun, Indiana Formation in Planar Dipole-Dipole University, USA Systems in the Presence of Weak 3:00-3:25 Hopf Bifurcation from Fronts Noise in the Cahn-Hilliard Equation Andrew J. Bernoff, Harvey Mudd College, Ryan Goh and Arnd Scheel, University of USA; Jaron Kent-Dobias, Cornell Minnesota, USA University, USA 3:30-3:55 Inhomogeneities in Spatially 3:00-3:25 Stationary Solution and Extended Pattern Forming Systems Long-time Behavior of 2D Keller-Segel Gabriela Jaramillo, University of Minnesota, Model with Degenerate Diffusion USA; Arnd Scheel, University of José Carrillo, Imperial College London, Minnesota, Minneapolis, USA United Kingdom; Sabine Hittmeir, Johann Radon Institute for Computational and 4:00-4:25 Coherent Structures in Applied Mathematics, Austria; Bruno Nonlocal Equations Volzone, Parthenope University, Napoli, Arnd Scheel, University of Minnesota, USA; Italy; Yao Yao, University of Wisconsin, Gregory Faye, Universite de Toulouse, Madison, USA France 4:30-4:55 Dynamics and Bifurcation in Multicomponent Bilayer Membranes Qiliang Wu and Promislow Keith, Michigan State University, USA

continued in next column 20 SIAM Conference on Analysis of Partial Differential Equations

Monday, December 7 Monday, December 7 3:30-3:55 Turbulence in Physical Scales of the Navier-Stokes Equations in the MS17 MS18 Presence of the Driving Force Radu Dascaliuc, Oregon State University, Partial Differential Equations Fluid Models, Turbulence USA in Image Analysis and and Data Assimilation - 4:00-4:25 Statistical Behavior of a Processing - Part II of II Part II of II Data Assimilation Algorithm for the 2D Navier-Stokes Equations 2:30 PM-4:30 PM 2:30 PM-4:30 PM Cecilia F. Mondaini and Ciprian Foias, Room:San Carlos - Main Level Room:Sedona - Main Level Texas A&M University, USA; Edriss S. Titi, Texas A&M University, USA and For Part 1 see MS1 For Part 1 see MS4 Weizmann Institute of Science, Israel Nonlinear partial differential equations Many dissipative dynamical systems of and non-smooth variational methods practical interest arise in the context of constitute one of the main analytical tools geophysical flows related to the atmosphere for modelling, analyzing and processing and ocean. The dynamics of such models images. Apart from them being powerful are generically chaotic and “turbulent,” computational tools for processing calling for a probabilistic framework to images, they are interesting mathematical properly analyze the underlying phenomena. objects whose analysis often requires very Moreover, due to the imprecise knowledge sophisticated tools from nonlinear PDE of the initial condition for the governing analysis, variational calculus, geometric equations, it can be helpful to dynamically measure theory and functional analysis. In update the solution with data collected this minisymposium we showcase some continuously-in-time to improve prediction. recent approaches that include transport This symposium will therefore focus on equations for image restoration, PDEs on the interplay of topics such as regularity, graphs for data clustering, free discontinuity data assimilation, asymptotic dynamics and approaches for image segmentation and non- statistical/stochastic solutions in analyzing smooth variational approaches for multi- turbulence in dissipative dynamical systems. channel image processing. Organizer: Vincent R. Martinez Organizer: Carola B. Tulane University, USA Schoenlieb Organizer: Michael S. Jolly University of Cambridge, United Kingdom Indiana University, USA Organizer: Laird Robert Hocking Organizer: Animikh Biswas University of Cambridge, United Kingdom University of Maryland, Baltimore County, 2:30-2:55 Discrete Varifolds, Point USA Clouds, and Surface Approximation 2:30-2:55 Minimal Scaling Laws Simon Masnou, University of Lyon 1, France Induced by the Scale of Local 3:00-3:25 Approximation of Curvature Isotropic Diffusion in 3D NSE Dependent Functionals in Imaging Zoran Grujic, University of Virginia, USA Selim Esedoglu, University of California, 3:00-3:25 Data Assimilation Los Angeles, USA Algorithms for the Bénard Convection 3:30-3:55 Limiting Aspects of Non- Model and Other Models of Convex TVq Models in Image Turbulence Processing Aseel Farhat, Indiana University Michael Hintermüller, Humboldt University Bloomington, USA; Michael S. Jolly, Berlin, Germany Indiana University, USA; Evelyn Lunasin, United States Naval Academy, USA; 4:00-4:25 On Convex Finite- Edriss S. Titi, Texas A&M University, Dimensional Variational Methods in USA and Weizmann Institute of Science, Imaging Sciences, and Hamilton- Israel Jacobi Equations Jerome Darbon, ENS Cachan, France

continued in next column SIAM Conference on Analysis of Partial Differential Equations 21

Monday, December 7 Monday, December 7 Monday, December 7 MS19 MS20 MS21 Analysis and Control of Fluid Coherent Structures in Ginzburg-Landau Theory and Models and Flow-coupled Hamiltonian PDE - Related Topics - Part II of III Systems - Part II of IV Part II of III 2:30 PM-4:30 PM 2:30 PM-4:30 PM 2:30 PM-4:30 PM Room:Center Ballroom - Main Level Room:Palomas - Main Level Room:Coronado - Main Level For Part 1 see MS7 For Part 3 see MS33 For Part 1 see MS5 For Part 1 see MS6 The mathematical tools developed to study For Part 3 see MS31 For Part 3 see MS32 variational models for superconducting This minisymposium will serve to promote Hamiltonian partial differential equations systems are often successfully used in and disseminate recent developments on appear in many fields including plasma other areas of materials science, to examine evolution PDEs, especially those describing physics, optics and fluid mechanics, where phenomena such as topological defects in fluid or gas flows and their interaction with they can characterize wave phenomenon such liquid crystals and solids. The minisymposium other types of dynamics such as plates as solitons, wave collapse and turbulence. will feature speakers with an interest and or elastic solids, with fixed or moving Hamiltonian partial differential equations background in the analysis and modeling interfaces. Questions on modeling, well- provide a variety of challenges, ranging of superconducting materials. Research on posedness, control, stability, optimization from well-posedness to numerical methods. both dynamic and stationary problems will and numerical simulations will be of primary This session will survey recent advances in be presented. Topics will include behavior of interest. Hamiltonian Partial Differential Equations, including progress on blow-ups of nonlinear minimizers, vortex filaments, vortex scattering Organizer: Marcelo Disconzi Schrodinger equations, rigorous derivation and traveling waves in Ginzburg-Landau and Vanderbilt University, USA of focusing NLS from quantum many-body related models. systems, and well-posedness of wave maps. Organizer: Irena M. Lasiecka Organizer: Tiziana Giorgi University of Memphis, USA Organizer: Magdalena Czubak New Mexico State University, USA Binghamton University, USA Organizer: Daniel Toundykov Organizer: Dmitry Golovaty University of Nebraska-Lincoln, USA Organizer: Gideon Simpson University of Akron, USA Drexel University, USA 2:30-2:55 Vortices in Liquid Crystals, Organizer: Justin T. Webster Superconductivity, Optics, and North Carolina State University, USA Organizer: Daniel Spirn Hydrodynamics: Siblings Or Not? 2:30-2:55 Porous Medium Equation University of Minnesota, USA Ibrahim Fatkullin, University of Arizona, with Heterogeneous Constraints and USA Organizer: Catherine Sulem Advection 3:00-3:25 Vortices in the Landau De Malgorzata Peszynska and Ralph E. University of Toronto, Canada Gennes Model for Chromonic Liquid 2:30-2:55 Vortex Scattering Across Showalter, Oregon State University, USA; Crystals Material Interfaces Justin T. Webster, North Carolina State Dmitry Golovaty, University of Akron, USA University, USA Jeremy L. Marzuola, University of North Carolina at Chapel Hill, USA 3:30-3:55 Stability of Point Defects in 3:00-3:25 Analysis of Nonlinear Poro- Liquid Crystals 3:00-3:25 Dirac Points in the Spectrum elastic and Poro-visco-elastic Models Valeriy Slastikov, University of Bristol, of Periodic Planar Networks Lorena Bociu, North Carolina State United Kingdom University, USA; Giovanna Guidoboni, Michael Goldberg, University of Cincinnati, Indiana University - Purdue University USA 4:00-4:25 Gamma-Convergence Analysis of Columnar Phases in Bent- Indianapolis, USA; Riccardo Sacco, 3:30-3:55 Nonexistence of Small Core Liquid Crystals Politecnico di Milano, Italy; Justin T. Doubly Periodic Coherent Structures Feras Yousef, New Mexico State University, Webster, North Carolina State University, David Ambrose, Drexel University, USA USA USA 4:00-4:25 KdV Dynamics and 3:30-3:55 Analysis of the Flow of Traveling Waves in Diatomic Fpu Landau-De Gennes Energy Functional J. Douglas Wright, Drexel University, USA under Weak Anchoring Conditions Changyou Wang, Purdue University, USA 4:00-4:25 On the Evolution Equations of Free Liquid Fibers and Films Thomas Hagen, University of Memphis, USA 22 SIAM Conference on Analysis of Partial Differential Equations

Monday, December 7 Monday, December 7 Monday, December 7 MS22 MS23 MS24 Multiscale Analysis, Transport Theory in Complex Modeling of Crowd Modeling and Simulation Particle Systems - Part II of II Dynamics for Applications in Material 2:30 PM-4:30 PM 2:30 PM-4:30 PM Science - Part II of III Room:Rattlers - Main Level Room:Chambers Lecture Hall - Main Level 2:30 PM-4:30 PM For Part 1 see MS9 Understanding the collective behavior of Room:Bouchon - Main Level This minisymposium will focus on common crowds and related groups of interacting issues associated with analytical methods for individuals proves essential for industrial and For Part 1 see MS8 dispersive and dissipative nonlinear partial urban planning. The design of evacuation For Part 3 see MS37 or integral transport equations arising in routes in airplanes, buildings and public In recent years we have witnessed a many areas of mathematical and statistical spaces, as well as the development of tremendous growth of activity on developing physics in the study of quantum and kinetic effective policing strategies, relies upon methods for materials-related phenomena theories. These models arise in the study such an understanding. Researchers in whose essential role extends over multiple of microscopic dynamics of complex mathematics and in physics have recently scales in time and space. The proposed interacting systems derived into nonlinear developed a set of models for collective minisymposium will focus on multiscale and nonlocal quantum and kinetic systems human behavior that provide invaluable modeling, analysis and simulation of the and their macroscopic approximations into insight that contributes to the preparation problems arising in composite and other PDEs for classical dynamics. Discussions for unexpected events. This session will heterogeneous media. In particular, topics will focus on analytical properties of particle bring together experimental and analytical that will be discussed include but not limited interacting transport models such as non- researchers to discuss current developments to are asymptotic analysis, homogenization, linear Schroedinger, Vlasov or Boltzmann of these models. The session will cover topics inverse problems, and computational tools for type, by means of classical, probabilistic and such as pedestrian dynamics and urban crime complex inhomogeneous media. The purpose stochastic analysis methods. modeling. of this section is to enable contact between researchers working on multiscale methods Organizer: Maja Taskovic Organizer: Chung-Min Lee with an update on recent progress in this field. University of Texas at Austin, USA California State University, Long Beach, USA Organizer: Yuliya Gorb Organizer: Irene M. Gamba University of Houston, USA University of Texas at Austin, USA Organizer: James von Brecht Organizer: Silvia Jimenez California State University, Long Beach, Organizer: Natasa Pavlovic USA Colgate University, USA University of Texas at Austin, USA 2:30-2:55 Anisotropic Interactions in 2:30-2:55 From Micro-imaging across 2:30-2:55 Some Recent Progress in First-Order Crowd Models Multiple Scales Boundary Problem of Boltzmann Joep Evers and Razvan Fetecau, Simon Malgorzata Peszynska and Timothy Costa, Equation Fraser University, Canada; Lenya Ryzhik, Oregon State University, USA Chanwoo Kim, University of Wisconsin, Stanford University, USA 3:00-3:25 Coupling Models for Madison, USA 3:00-3:25 Hotspots in a Nonlocal Darcy, Pre Darcy, and Post Darcy 3:00-3:25 Local Theory for the Crime Model Flows in Porous Media-Analysis and Boltzmann-Nordheim Equation in Non Scott Mccalla, Montana State University, Application Isotropic Setting USA; Jonah Breslau, Pomona College, Akif Ibragimov, Texas Tech University, Amit Einav, University of Cambridge, United USA; Sorathan Chaturapruek, Harvey USA; Thinh T. Kieu, University of North Kingdom; Marc Briant, Brown University, Mudd College, USA; Theodore Georgia, USA; Luan Hoang and Emine USA Kolokolnikov, Dalhousie University, Celik, Texas Tech University, USA 3:30-3:55 Anomalous Energy Transport Canada; Daniel Yazdi, University of 3:30-3:55 Robust Optimization of in PFU-beta Chain California, Los Angeles, USA Multiscale Viscoelastic Composites Sara Merino-Aceituno, Imperial College Elena Cherkaev, University of Utah, USA London, United Kingdom; Antoine Mellet, 4:00-4:25 Hamilton-Jacobi and Eikonal University of Maryland, USA Pdes from Iterated Homogenization 4:00-4:25 Exponential Tails for Solutions Methods in Finite Elasticity to the Homogeneous Boltzmann Oscar Lopez-Pamies, University of Illinois at Equation Urbana-Champaign, USA Maja Taskovic, University of Texas at Austin, USA; Ricardo J. Alonso, Pontificia Universidade Catolica Do Rio de Janeiro, Brazil; Irene M. Gamba and Natasa continued on next page Pavlovic, University of Texas at Austin, USA SIAM Conference on Analysis of Partial Differential Equations 23

3:30-3:55 Contagion Shocks in One Monday, December 7 3:30-3:55 Least Squares Approximation Dimension in Multivariate Polynomial Spaces Martin Short, Georgia Institute of MS25 and Application to Elliptic PDEs with Technology, USA; Li Wang, University Stochastic Data of California, Los Angeles, USA; Jesus Advances in Theoretical Giovanni Migliorati, Université Pierre et Rosado Linares, Universidad de Buenos and Numerical Analysis of Marie Curie, France Aires, Argentina; Andrea L. Bertozzi, Parametrized PDEs in High 4:00-4:25 Parameter Identification for University of California, Los Angeles, Dimension - Part II of II PDEs with Random Data USA Catalin S. Trenchea, University of Pittsburgh, 4:00-4:25 Efficient Numerical 2:30 PM-4:30 PM USA Methods for Multiscale Human Room:Four Peaks - Upper Level Crowd Dynamics with Emotional Contagion For Part 1 see MS11 Li Wang, University of California, Los This minisymposium focuses on advances Angeles, USA; Martin Short, Georgia in numerical analysis of parametrized PDEs. Institute of Technology, USA; Andrea L. Predicting the behavior of the solution map Bertozzi, University of California, Los relies on constructing solutions in terms Angeles, USA of high-dimensional spaces, particularly in the case when the input data depend on a large number of parameters. For higher accuracy, simulations must increase the number of dimensions, and expend more effort resolving smooth or even discontinuous behavior within each dimension. The resulting explosion in computational effort is a symptom of the curse of dimensionality. This minisymposium aims at exploring recent breakthroughs in analysis of sparse sampling and representations, least squares projection, compressed sensing, low-rank approximations. Organizer: Abdellah Chkifa Oak Ridge National Laboratory, USA Organizer: Hoang A. Tran Oak Ridge National Laboratory, USA Organizer: Clayton G. Webster Oak Ridge National Laboratory, USA Organizer: Guannan Zhang Oak Ridge National Laboratory, USA 2:30-2:55 Polynomial Chaos Expansion Via Gradient-Enhanced l1-Minimization Alireza Doostan, Jerrad Hampton, and Ji Peng, University of Colorado Boulder, USA 3:00-3:25 Structured and Unstructured Sampling Methods for the Approximation of Parametric PDEs Abdellah Chkifa and Clayton G. Webster, Oak Ridge National Laboratory, USA

continued in next column 24 SIAM Conference on Analysis of Partial Differential Equations

Monday, December 7 Monday, December 7 Monday, December 7 MS26 CP2 MS27 Complex Systems Arising Numerical Methods Deterministic and Stochastic in Biology and Economics 2:30 PM-4:30 PM Aspects of Fluid Dynamics - - Part II of II Part I of II Room:Flagstaff A - Upper Level 2:30 PM-4:00 PM Chair: To Be Determined 5:00 PM-7:00 PM Room:Flagstaff B - Upper Level 2:30-2:45 Steady State and Sign Room:Forum - Lower Level For Part 1 see MS13 Preserving Semi-Implicit Runge-Kutta For Part 2 see MS41 Partial differential equation systems have Methods for ODEs with Stiff Damping Models of fluid dynamics (Navier-Stokes/ become ubiquitous in modern science. Term Euler equations, Primitive equations, Applications arising in Biology and Tong Wu, Tulane University, USA etc...) are ubiquitous in science and play a Economics provide complex systems 2:50-3:05 A Rbf-Descent Method for significant role in subjects such as climate which are challenging from a modeling, Wind Field Approximation science, geophysics, and engineering. From numerical, and analytical perspective. Miguel A. Moreles, Centro de Investigacion the mathematical viewpoint, they provide a In this minisymposium, we will discuss en Matematicas, Mexico; Daniel rich source of problems in partial differential several such complex systems and their Cervantes and Pedro Gonzalez-Casanova, equations, involving elements from analysis, relationship with current PDE research. UNAM, Mexico probability theory, dynamical systems. Of great importance are questions ranging from Organizer: Daniel Brinkman 3:10-3:25 An Analysis of Blended global regularity to longtime behavior, with Arizona State University, USA Three-step BDF Time Stepping particular emphasis on statistical properties Scheme For Navier-Stokes Type of solutions and their robustness with respect Organizer: Sebastien Motsch System Related To Soret Convection to singular and/or stochastic perturbations. Arizona State University, USA S.S. Ravindran, University of Alabama, This minisymposium will bring together 2:30-2:55 Coalescing Diffusion, and Huntsville, USA researchers at all career stages to discuss Composite Stochastic Particle-grid 3:30-3:45 Finite Volume MUSCL recent advances in mathematical fluid Methods for the Investigation of Approximation for Transport Equation dynamics. Blow-ups in the Keller-Segel and Originating in a Neuronal Model Similar PDEs Paramjeet Singh, Thapar University, India Organizer: Michele Coti Zelati Gleb Zhelezov, University of Arizona, University of Maryland, USA 3:50-4:05 A Theoretical and USA Computational Framework for Organizer: Honghu Liu 3:00-3:25 Global Minimization with Measure-Valued Solutions to University of California, Los Angeles, USA Interacting Particle Systems Conservation Laws Stephan Martin, Imperial College London, Mohammad Zakerzadeh and Georg May, Organizer: Temam Roger United Kingdom; Rene Pinnau, Claudia RWTH Aachen University, Germany Indiana University Bloomington, USA Totzeck, and Tse Oliver, Technische 4:10-4:25 An Asymptotic Preserving Universität Kaiserslautern, Germany Organizer: Chuntian Wang Implicit-Explicit Scheme for All- Indiana University Bloomington, USA 3:30-3:55 Multi-agent Dynamics Froude Flows Models for n-ary Markov Jump Hamed Zakerzadeh and Sebastian Noelle, 5:00-5:25 Numerical Analysis of the Processes on a Dense Graph RWTH Aachen University, Germany Stochastic Navier-Stokes Equations: Juan Rodriguez and Irene M. Gamba, Stability and Convergence University of Texas at Austin, USA Nathan Glatt Holtz, Virginia Tech, USA; Roger M. Temam, Indiana University, Coffee Break USA; Chuntian Wang, Indiana University Bloomington, USA 4:30 PM-5:00 PM 5:30-5:55 Mean Oscillations of the Room:Forum - Lower Level Vorticity Direction and A Priori Bounds on the Vorticity in the 3D NSE Zoran Grujic, University of Virginia, USA 6:00-6:25 The Free Boundary Euler Equation Igor Kukavica, University of Southern California, USA 6:30-6:55 Particle Laden Flow on an Incline Andrea L. Bertozzi, University of California, Los Angeles, USA SIAM Conference on Analysis of Partial Differential Equations 25

Monday, December 7 Monday, December 7 Monday, December 7 MS28 MS29 MS30 Dynamics of Partial Pattern Formation in Convex Integration and Differential Equations - Nonlinear Systems - Degenerate Solutions to Part I of II Part II of II Nonlinear PDEs in Geometry 5:00 PM-7:30 PM 5:00 PM-7:00 PM and Physics - Part II of II Room:Rio Verde - Main Level Room:Sonora - Main Level 5:00 PM-7:00 PM For Part 2 see MS69 For Part 1 see MS16 Room:San Carlos - Main Level Complex systems described by partial The general purpose of this special For Part 1 see MS3 differential equations (PDEs) pose great session is to bring together researchers This minisymposium concerns questions challenges to understanding natural who work on various issues related to of flexibility and rigidity of solutions to phenomena. They involve the nonlinear nonlinear waves and patterns in partial nonlinear pdes, with a focus on degenerate dynamics in infinite dimensional spaces. differential equations that arise in physics, (flexible) weak solutions which can be Despite progresses made in the last 50 years, chemistry, and biology. More specifically, obtained through methods of convex the mathematical tools succeed only modestly existence and stability of such solutions integration. Recent advances regarding in analyzing the PDEs dynamics. Nonetheless, to partial differential equations in one and Holder continuous dissipative solutions to a wide range of methods and techniques have more dimensions will be discussed. The Euler equations have renewed the interest been created to attack the problems. This mini- session will place a special emphasis on in applying these methods to a wider symposium will bring together researchers Evans function method and methods from range of problems, including the Monge- from different branches of the field. It will bifurcation theory. Ampere and transport equations. Similar cover various topics from abstract theory of Organizer: Stephane efforts have also lead to progress regarding dynamical systems in infinite dimensional isometric immersions. Our objective is spaces to their applications to PDEs in fluid Lafortune to bring together scientists involved with mechanics, mathematical biology and quantum College of Charleston, USA flexibility vs. rigidity in fluid dynamics and physics. Organizer: Vahagn in geometric pdes, in order to investigate Organizer: Luan Hoang discuss advances and challenges from Manukian different perspectives Texas Tech University, USA Miami University, USA Organizer: Eric Olson 5:00-5:25 How Defects Are Born Organizer: Marta Lewicka University of Nevada, Reno, USA Nicholas Ercolani, Nikola Kamburov, and University of Pittsburgh, USA 5:00-5:25 Generalized Gevrey Norms Joceline Lega, University of Arizona, Organizer: Reza Pakzad USA with Applications to Dissipative University of Pittsburgh, USA Equations 5:30-5:55 Fast Pulses with 5:00-5:25 On Weak Solutions to the 2D Animikh Biswas, University of Maryland, Oscillatory Tails in the FitzHugh- Savage-Hutter Model of the Motion of Baltimore County, USA Nagumo System a Gravity Driven Avalanche Flow 5:30-5:55 Navier-Stokes-alpha Model Paul Carter and Bjorn Sandstede, Brown Agnieszka Swierczewska-Gwiazda, for Channel Flows University, USA University of Warsaw, Poland Bingsheng Zhang, Texas A&M University, 6:00-6:25 Oscillons Near Hopf 5:30-5:55 Recent Progress Towards USA Bifurcations of Planar Reaction Onsager’s Conjecture 6:00-6:25 Turbulence in Vertically Diffusion Equations Tristan Buckmaster, Courant Institute Averaged 3D Rayleigh-Benard Kelly Mcquighan, Boston University, of Mathematical Sciences, New York Convection USA; Bjorn Sandstede, Brown University, USA Michael S. Jolly, Indiana University, USA University, USA 6:00-6:25 Convex Integration and 6:30-6:55 Spread of Phage Infection of 6:30-6:55 Stability of Traveling the Stationary Incompressible Euler Bacteria in a Petri Dish Waves in a Model for a Thin Liquid Equations Don Jones, Hal L. Smith, and Horst Thieme, Film Flow Antoine Choffrut, University of Edinburgh, Arizona State University, USA Anna Ghazaryan, Miami University, United Kingdom USA; Stéphane Lafortune, College of 7:00-7:25 Continuity of Attractors for Charleston, USA; Vahagn Manukian, 6:30-6:55 Almost-isometric Dynamical Systems Miami University, USA Deformations and Thin Elastic Sheets Luan Hoang, Texas Tech University, USA; Francesco Maggi, University of Texas at Eric Olson, University of Nevada, Reno, Austin, USA USA; James Robinson, University of Warwick, United Kingdom 26 SIAM Conference on Analysis of Partial Differential Equations

Monday, December 7 Monday, December 7 Monday, December 7 MS31 MS32 MS33 Analysis and Control of Coherent Structures in Ginzburg-Landau Theory Fluid Models and Flow- Hamiltonian PDE- and Related Topics - Part III coupled Systems - Part III of III of III Part III of IV 5:00 PM-7:00 PM 5:00 PM-7:00 PM 5:00 PM-6:30 PM Room:Coronado - Main Level Room:Center Ballroom - Main Level Room:Palomas - Main Level For Part 2 see MS20 For Part 2 see MS21 The mathematical tools developed to study For Part 2 see MS19 Hamiltonian partial differential equations variational models for superconducting For Part 4 see MS45 appear in many fields including plasma systems are often successfully used This mini-symposium will serve to promote physics, optics and fluid mechanics, where in other areas of materials science, to and disseminate recent developments on they can characterize wave phenomenon such examine phenomena such as topological evolution PDEs, especially those describing as solitons, wave collapse and turbulence. defects in liquid crystals and solids. The fluid or gas flows and their interaction with Hamiltonian partial differential equations minisymposium will feature speakers with other types of dynamics such as plates provide a variety of challenges, ranging an interest and background in the analysis or elastic solids, with fixed or moving from well-posedness to numerical methods. and modeling of superconducting materials. interfaces. Questions on modeling, well- This session will survey recent advances in Research on both dynamic and stationary posedness, control, stability, optimization Hamiltonian Partial Differential Equations, problems will be presented. Topics will and numerical simulations will be of primary including progress on blow-ups of nonlinear include behavior of minimizers, vortex interest. Schrodinger equations, rigorous derivation of focusing NLS from quantum many- body filaments, vortex scattering and traveling Organizer: Justin T. Webster systems, and well-posedness of wave maps. waves in Ginzburg- Landau and related North Carolina State University, USA models. Organizer: Magdalena Czubak Organizer: Tiziana Giorgi Organizer: Marcelo Disconzi Binghamton University, USA New Mexico State University, USA Vanderbilt University, USA Organizer: Gideon Simpson Organizer: Dmitry Golovaty Organizer: Irena M. Lasiecka Drexel University, USA University of Akron, USA University of Memphis, USA Organizer: Daniel Spirn 5:00-5:25 Spectral Analysis of a Organizer: Daniel Toundykov University of Minnesota, USA Complex Schrödinger Operator in the University of Nebraska-Lincoln, USA Organizer: Catherine Sulem Semiclassical Limit 5:00-5:25 Fluid-Elastic Structure University of Toronto, Canada Yaniv Almog, Louisiana State University, USA Interaction with the Navier Slip 5:00-5:25 On-Site and Off-Site Boundary Condition Solitary Waves of Discrete Nonlinear 5:30-5:55 Distances Between Classes Suncica Canic, University of Houston, USA; Schödinger Type Equations and the in W1,1(Ω,S1) Boris Muha, University of Zagreb, Croatia Peierls-Nabarro Barrier Itai Shafrir, Technion Israel Institute of 5:30-5:55 Uniform Stability to Non- Michael Jenkinson and Michael I. Weinstein, Technology, Israel Trivial Equilibrium of a Nonlinear Columbia University, USA 6:00-6:25 A Degenerate Isoperimetric Fluid-Structure Interaction Via 5:30-5:55 Existence and Stability Problem and Traveling Waves to a Interface and Interior Feedback Considerations for Schrödinger- Hamiltonian System of Allen-Cahn Yongjin Lu, Virginia State University, USA Poisson Excited States with a Potential Type 6:00-6:25 Decay Rates for Some Jeremy L. Marzuola, University of North Peter Sternberg, Indiana University, USA Fluid-Structure Models Carolina at Chapel Hill, USA; Sarah 6:30-6:55 Title Not Available at Time George Avalos, University of Nebraska, Raynor, Wake Forest University, USA; of Publication Lincoln, USA; Pelin Geredeli, Hacettepe Gideon Simpson, Drexel University, USA Nicholas Michalowski, New Mexico State Universýty, Turkey 6:00-6:25 On Dispersive Blow-Ups for University, USA Nonlinear Schrödinger Equations Maja Taskovic and Younghun Hong, University of Texas at Austin, USA 6:30-6:55 The Rigorous Derivation of Focusing NLS from Quantum Many- Body Systems Xuwen Chen and Justin Holmer, Brown University, USA SIAM Conference on Analysis of Partial Differential Equations 27

Monday, December 7 Monday, December 7 Monday, December 7 MS34 MS35 MS36 Quasilinear PDE in Models Singular Perturbations and Nonlocal Continuum from Mathematical Physics - Boundary Layers - Theory Models: Theory, Part I of II and Numerical Aspects - Computation, and 5:00 PM-7:00 PM Part I of II Applications Room:Bouchon - Main Level 5:00 PM-7:00 PM 5:00 PM-7:00 PM For Part 2 see MS47 Room:Rattlers - Main Level Room:Chambers Lecture Hall - Main Level Speakers will talk on new developments in For Part 2 see MS49 Nonlocal continuum theory has become analysis for PDE with strongly nonlinear The main purpose of this session is to a valuable tool to bridge atomistic and effects. bring together specialists in the field continuum models for mesoscale and Organizer: Jeremy L. Marzuola of singular perturbations and boundary nanoscale systems. Examples include crack University of North Carolina at Chapel Hill, layers. In the presence of boundaries, propagation, diffusion through porous USA the behavior of the solutions to the media, and electrostatic interactions between Navier-Stokes in the limit of vanishing biomolecules. This minisymposium will Organizer: Daniel Tataru viscosity is still an outstanding problem provide a forum to discuss and present University of California, Berkeley, USA in mathematical fluid dynamics. Similar nonlocal theories in these diverse application 5:00-5:25 Global Solutions for Some problems occur in many other areas areas, as well as computational methods Fluid Models of sciences. Furthermore, numerical for solving them. In particular, speakers Mihaela Ifrim, McMaster University, Canada methods for singularly perturbed equations will highlight theoretical frameworks for remain challenging problems. This mini identifying and validating nonlocal models, 5:30-5:55 Quasilinear Dispersive Waves symposium is meant to be a platform to tools for analyzing and characterizing John Hunter, University of California, Davis, exchange ideas on these problems. nonlocal problems, key results, and emerging USA Organizer: Gung-Min Gie modeling challenges. 6:00-6:25 Long-Time Behavior of Models Arising in Water Waves University of Louisville, USA Organizer: Jaydeep Bardhan Northeastern University, USA Benjamin Harrop-Griffiths, Courant Institute Organizer: YoungJoon Hong of Mathematical Sciences, New York Indiana University, USA University, USA Organizer: Pavel Bochev Sandia National Laboratories, USA 6:30-6:55 Nonlinear Stability of the Organizer: Chang-Yeol Jung 5:00-5:25 Heterogeneous Domain Three Dimensional Couette Flow Ulsan National Institute of Science and Decomposition Methods for Non-local Pierre Germain, New York University, USA Technology, South Korea Problems Organizer: Roger M. Temam Pavel Bochev and Marta D’Elia, Sandia Indiana University, USA National Laboratories, USA 5:00-5:25 On the Long Time 5:30-5:55 The Richness of Fractional Existence of the Prandtl Equations Integro-Differential Operators Defined Mihaela Ignatova and Vlad C. Vicol, by Convolution with the Lé}vy Princeton University, USA Measure 5:30-5:55 Observations on the David A. Benson, Colorado School of Mines, Vanishing Viscosity Limit USA James P. Kelliher, University of 6:00-6:25 Nonlocal Electrostatics California, Riverside, USA in Molecular Biology: Water as a 6:00-6:25 Robust Numerical Structured Material Methods for Boundary and Interior Jaydeep Bardhan, Northeastern University, Layers in Parabolic Problems USA; Matthew G. Knepley, University of Eugene O’Riordan, Dublin City Chicago, USA University, Ireland 6:30-6:55 Computing of Ion-ion 6:30-6:55 The Primitive Equations: Correlations with Nonlocal Density Viscous and Inviscid Models Functional Theory Makram Hamouda, Indiana University, Dirk Gillespie, Rush University Medical USA Center, USA 28 SIAM Conference on Analysis of Partial Differential Equations

Monday, December 7 Monday, December 7 Monday, December 7 MS37 MS38 MS39 Multiscale Analysis, Challenges in the Partial Differential Equations Modeling and Simulation Mechanics of Thin Elastic and Geometric Analysis - for Applications in Material Structures - Part III of III Part I of II Science - Part III of III 5:00 PM-7:00 PM 5:00 PM-7:00 PM 5:00 PM-7:00 PM Room:Flagstaff A - Upper Level Room:Flagstaff B - Upper Level Room:Four Peaks - Upper Level For Part 2 see MS14 For Part 2 see MS53 This minisymposium emphasizes recent For Part 2 see MS22 The mechanics of thin structures is a field developments in analysis of non- linear In recent years we have witnessed a where geometry and mechanics interact, elliptic and parabolic partial differential tremendous growth of activity on developing leading to deep questions in PDE and the equations arising in differential geometry, methods for materials-related phenomena calculus of variations. Current issues include and especially geometric flow equations, whose essential role extends over multiple (i) understanding the patterns and defects including mean curvature flow, Ricci flow, scales in time and space. The proposed produced by compressive loads in flat or and Yang-Mills gradient flow, together with minisymposium will focus on multiscale cylindrical structures; (ii) understanding their applications to differential geometry and modeling, analysis and simulation of the how growth, misfit, or crystalline defects mathematical physics. problems arising in composite and other influence the preferred shape of a thin heterogeneous media. In particular, topics structure; and (iii) understanding the Organizer: Paul Feehan emergence of localized structures such as that will be discussed include but not limited Rutgers University, USA to are asymptotic analysis, homogenization, folds and conical singularities. The talks inverse problems, and computational tools for in this 3-part minisymposium will address 5:00-5:25 Willmore Surface Equation complex inhomogeneous media. The purpose these and related problems, drawing on tools for Radially Symmetric Solutions of this section is to enable contact between from geometry, mechanics, the calculus of Jingyi Chen, University of British Columbia, researchers working on multiscale methods variations, and PDE. Canada with an update on recent progress in this field. Organizer: Robert V. Kohn 5:30-5:55 Curvature Flows on Organizer: Silvia Jimenez Courant Institute of Mathematical Sciences, Homogeneous Spaces: Applications of the Bracket Flow Colgate University, USA New York University, USA David G. Glickenstein, University of Arizona, 5:00-5:25 Limits of Elastic Energies of USA Organizer: Yuliya Gorb Converging Elastic Bodies University of Houston, USA Cy Maor and Raz Kupferman, Hebrew 6:00-6:25 Asymptotic Rigidity of 5:00-5:25 Multiscale Mimetic Reduced- University, Israel Shrinking Gradient Ricci Solitons Order Models for Spectrally Accurate Brett L. Kotschwar, Arizona State University, 5:30-5:55 Plates with Incompatible Wavefield Simulations USA Prestrain of Higher Order Vladimir L. Druskin, Schlumberger-Doll Diego Ricciotti and Marta Lewicka, 6:30-6:55 Łojasiewicz-Simon Gradient Research, USA; Alexander Mamonov, University of Pittsburgh, USA; Annie Inequalities with Applications to Yang- University of Houston, USA; Mikhail Raoult, Université Paris Descartes, France Mills Pairs and Harmonic Maps Zaslavsky, Schlumberger-Doll Research, Manousos Maridakis, Rutgers University, USA 6:00-6:25 Energy Scaling Laws for USA an Axially Compressed Thin Elastic 5:30-5:55 Homogenization of a Toy Cylinder Model of Non-Linear Composites Ian Tobasco, Courant Institute of Guillermo Goldsztein, Georgia Institute of Mathematical Sciences, New York Technology, USA University, USA 6:00-6:25 Some Recent Mathematics 6:30-6:55 The Metric-Restricted Progress on Negative Index Materials Inverse Design Problem and Their Applications Marta Lewicka, University of Pittsburgh, Hoai-Minh Nguyen, École Polytechnique USA Fédérale de Lausanne, Switzerland 6:30-6:55 Optimal Approach for the Numerical Stochastic Homogenization of Elliptic Problems Leila Taghizadeh and Caroline Geiersbach, Vienna University of Technology, Austria; Clemens F. Heitzinger, Arizona State University, USA and Vienna University of Technology, Austria SIAM Conference on Analysis of Partial Differential Equations 29

Monday, December 7 10:00-10:25 Existence of Global Strong Tuesday, Solution for the Korteweg System CP3 Boris Haspot, Université Paris Dauphine, December 8 France 10:30-10:55 Two Velocity Formulation 5:00 PM-7:00 PM of the Navier-Stokes Equations Room:Sedona - Main Level Registration Ewelina Zatorska, Warsaw University of Technology, Poland Chair: Erwin Suazo, University of Texas, Rio 8:00 AM-5:30 PM Grande Valley Room:Grand Ballroom Foyer - Main Level 5:00-5:15 Weak and Strong Probabilistic Solutions for a Class of Strongly Nonlinear Parabolic Problems Zakaria Ali and Mamadou Sango, University of Pretoria, South Africa MS40 5:20-5:35 Existence of Mild Solution Equations of 3D Flows - for An Impulsive Neutral Stochastic Part I of II Fractional Integro-Differential Inclusions with Infinite Delay 8:30 AM-11:00 AM Alka Chadha and Dwijendra N. Pandey, Indian Room:Forum - Lower Level Institute of Technology Roorkee, India For Part 2 see MS55 5:40-5:55 Global Existence of Solutions This session is dedicated to mathematical to System of Isentropic Gas Dynamics in analysis of partial differential equations a Divergent Nozzle with Friction arising in Fluid Mechanics. We want to Yunguang Lu, Hangzhou Normal University, bring together specialists working on China; Xuezhou Lu, CNRS, France various aspects of models of 3D flows, 6:00-6:15 Elliptic and Parabolic such as Navier-Stokes or Euler equations. Differential-Difference Operators with We will present recent progress concerning Incommesurable Shifts the existence, asymptotic analysis and Anton M. Selitskii, Russian Academy of regularity of solutions. The aim is to Sciences, Russia compare the theory of strong and weak solutions, and to determine how the 6:20-6:35 Generalized Variable- techniques of one may be used to find new Coefficient Nonlinear Schroedinger results in the other. Equation: Explicit Solutions and Finite- Time Blow-Up Organizer: Piotr Mucha Erwin Suazo, University of Texas, Rio Grande Warsaw University, Poland Valley, USA Organizer: Ewelina Zatorska 6:40-6:55 Existence Results for Warsaw University of Technology, Poland Superlinear Elliptic Equations with 8:30-8:55 Weak Vs. Strong Solutions Nonlinear Boundary Value Conditions to Complete Fluid Systems Xiaohui Yu, Shenzhen University, China Eduard Feireisl, Mathematical Institute ASCR, Prague, Czech Republic 9:00-9:25 Weak/Strong Uniqueness SIMA Editorial Board Meeting for the Compressible Euler System Piotr Gwiazda, Warsaw University, Poland 7:30 PM-9:30 PM 9:30-9:55 Compressible Room:Chaparral - Main Level Navier-Stokes Equations with Thermodynamically Unstable Pressure and Anisotropic Viscous Stress Didier Bresch, Universite de Savoie, France

continued in next column 30 SIAM Conference on Analysis of Partial Differential Equations

Tuesday, December 8 Tuesday, December 8 Tuesday, December 8 MS41 MS42 MS43 Deterministic and PDEs for Defects Problems Numerical Methods for Stochastic Aspects of Fluid in Materials Science - PDE and Applications in Dynamics - Part II of II Part I of II Computational and Data 8:30 AM-10:30 AM 8:30 AM-10:30 AM Science - Part I of II Room:Rio Verde - Main Level Room:Sonora - Main Level 8:30 AM-10:30 AM For Part 1 see MS27 For Part 2 see MS56 Room:San Carlos - Main Level Models of fluid dynamics (Navier-Stokes/ This minisymposium brings together For Part 2 see MS57 Euler equations, Primitive equations, experts in PDE modelling and analysis Partial differential equations (PDE) are etc...) are ubiquitous in science and play a of defects in materials science, such as playing increasingly important roles in significant role in subjects such as climate dislocations, cracks, grain boundaries, computational and data science problems. science, geophysics, and engineering. nucleation, etc. The minisymposium will Applications of PDE require efficient From the mathematical viewpoint, they focus on recent progress in this field and and accurate numerical schemes, and this provide a rich source of problems in future directions. presents a new array of computational partial differential equations, involving Organizer: Jianfeng Lu challenges and opportunities. This elements from analysis, probability theory, minisymposium will address recent advances Duke University, USA dynamical systems. Of great importance are in numerical schemes, as well as new questions ranging from global regularity Organizer: Yang Xiang applications of PDE in computational and to longtime behavior, with particular Hong Kong University of Science and data science. Some topics to be addressed emphasis on statistical properties of Technology, Hong Kong include machine learning, crowd motion, solutions and their robustness with respect 8:30-8:55 Quantum Dots and optimal transportation, materials science, and to singular and/or stochastic perturbations. Dislocations: Dynamics of Materials numerical schemes for viscosity solutions. This minisymposium will bring together Defects researchers at all career stages to discuss Organizer: Jeff Calder Irene Fonseca, Carnegie Mellon recent advances in mathematical fluid University of California, Berkeley, USA University, USA dynamics. Organizer: Adam M. Oberman 9:00-9:25 Discrete and Continuum McGill University, Canada Organizer: Michele Coti Zelati Models for the Long-range Elastic University of Maryland, USA Effects of Stepped Epitaxial 8:30-8:55 Numerical Schemes for the Organizer: Honghu Liu Surfaces Hamilton-Jacobi Equation Continuum Limit of Non-dominated Sorting University of California, Los Angeles, USA Yang Xiang and Tao Luo, Hong Kong University of Science and Technology, Jeff Calder, University of California, Organizer: Temam Roger Hong Kong; Aaron Yip, Purdue Berkeley, USA Indiana University Bloomington, USA University, USA 9:00-9:25 Prediction Without Organizer: Chuntian Wang 9:30-9:55 Beyond the Burton- Probability Indiana University Bloomington, USA Cabrera-Frank (BCF) Model of Kangping Zhu, GSA Capital, USA; Robert V. Kohn, Courant Institute of Mathematical 8:30-8:55 Computation of Entropic Surface Defects: A Study in 1+1 Sciences, New York University, USA Measure-Valued Solutions for Euler Dimensions Equations Dionisios Margetis, University of 9:30-9:55 A PDE Approach to Eitan Tadmor, University of Maryland, Maryland, College Park, USA Prediction with Expert Advice USA 10:00-10:25 PDEs From Scaling Nadejda Drenska, Courant Institute of Mathematical Sciences, New York 9:00-9:25 Wasserstein Metrics Limits of Atomistic Models in Crystal University, USA in Stochastic Partial Differential Surface Evolution Equations Jeremy L. Marzuola, University of North 10:00-10:25 Congested Crowd Nathan Glatt-Holtz, Virginia Tech, USA Carolina at Chapel Hill, USA Motion via the Height Constrained Aggregation Equation: Wasserstein 9:30-9:55 Non-Markovian Reduced Gradient Flow and Free Boundary Equations for Stochastic PDEs Characterization Mickael Chekroun, University of California, Katy Craig, University of California, Santa Los Angeles, USA Barbara, USA 10:00-10:25 Shell Models for Turbulent Flows Susan Friedlander, University of Southern California, USA; Nathan Glatt Holtz, Virginia Tech, USA; Vlad C. Vicol, Princeton University, USA SIAM Conference on Analysis of Partial Differential Equations 31

Tuesday, December 8 Tuesday, December 8 Tuesday, December 8 MS44 MS45 MS46 Mathematical Analysis of Analysis and Control of Large-Time Dynamics of Liquid Crystals - Part I of III Fluid Models and Flow- the Navier-Stokes Equations 8:30 AM-10:30 AM coupled Systems - and Related PDEs - Room:Sedona - Main Level Part IV of IV Part I of II For Part 2 see MS78 8:30 AM-10:30 AM 8:30 AM-10:30 AM Liquid crystals are the main entry point into Room:Palomas - Main Level Room:Coronado - Main Level the fascinating world of complex materials For Part 3 see MS31 For Part 2 see MS60 with complex micro-structural properties. ´ Yet, despite being the simplest representative This minisymposium will serve to promote The accurate, reliable prediction of the long- of such materials, and of enormous and disseminate recent developments time dynamical evolution of hydrodynamic technological importance, liquid crystals are on evolution PDEs, especially those systems has become increasingly important not understood at a basic, fundamental level describing fluid or gas flows and their in the climatological, astrophysical, and of description. The proposed minisymposium interaction with other types of dynamics geophysical sciences. Mathematically aims to gather the main contributors to such as plates or elastic solids, with quantifying this behaviour allows for more recent advances in the area and to set new fixed or moving interfaces. Questions accurate and cost-effective reduced models, directions by determining the major open on modeling, well-posedness, control, and helps validate existing models, leading problems. stability, optimization and numerical to more realistic real-time predictions for the simulations will be of primary interest. long-time dynamics of such systems. This Organizer: Valeriy Slastikov minisymposium will address the long-time University of Bristol, United Kingdom Organizer: Justin T. Webster dynamics of hydrodynamic models such North Carolina State University, USA Organizer: Arghir Zarnescu as the Navier-Stokes equations and related University of Sussex, United Kingdom models. Of particular interest are the study Organizer: Marcelo Disconzi of the global attracting set, techniques in Vanderbilt University, USA 8:30-8:55 Weak Anchoring for a Two- data assimilation, asymptotically reduced Dimensional Liquid Crystal models, and the global well-posedness in Lia Bronsard, McMaster University, Canada Organizer: Irena M. Lasiecka University of Memphis, USA time of these models. 9:00-9:25 Line Defects in the Asymptotic Analysis of Landau-De Organizer: Daniel Toundykov Organizer: Jared P. Whitehead Gennes Minimizers University of Nebraska-Lincoln, USA Brigham Young University, USA Giacomo Canevari, University of Oxford, 8:30-8:55 Controllability of a 8:30-8:55 Recent Advances in the United Kingdom Cochlea Model and Related Fluid Pseudospectral Method 9:30-9:55 On the K13 Problem in the Elastic Systems John C. Bowman, University of Alberta, Oseen-Frank Theory of Nematic Scott Hansen, Iowa State University, USA Canada Liquid Crystals 9:00-9:25 Interface Singularities in 9:00-9:25 Uniformly Attracting Arghir Zarnescu, University of Sussex, Fluid Dynamics Invariant Sets for Critical SQG United Kingdom Steve Shkoller, University of California, Equations 10:00-10:25 The Micro-Micro Davis, USA; Daniel Coutand, Heriot- Peter Constantin, Princeton University, Description for Elastic Complex Fluids Watt University, United Kingdom USA; Michele Coti Zelati, University of Chun Liu, Pennsylvania State University, Maryland, USA; Vlad C. Vicol, Princeton 9:30-9:55 Global Existence for a USA University, USA Fluid-structure Model Mihaela Ignatova, Princeton University, 9:30-9:55 Data Assimilation Using USA; Igor Kukavica, University of Approximate Inertial Manifolds Southern California, USA; Irena M. Michael S. Jolly, Indiana University, USA Lasiecka, University of Memphis, USA; 10:00-10:25 A Diffuse Interface Model Amjad Tuffaha, The Petroleum Institute for Two-Phase Groundwater Flow of Abu Dhabi, United Arab Emirates Daozhi Han, Florida State University, USA 10:00-10:25 Fluid-structure Interaction with Strongly Damped Structure: Optimal Regularity Under Control Acting at the Interface Roberto Triggiani and Irena M. Lasiecka, University of Memphis, USA 32 SIAM Conference on Analysis of Partial Differential Equations

Tuesday, December 8 Tuesday, December 8 Tuesday, December 8 MS47 MS48 MS49 Quasilinear PDE in Models Singularities of High Order Singular Perturbations and from Mathematical Physics PDEs Describing Liquid Jets Boundary Layers - Theory - Part II of II and Films - Part I of II and Numerical Aspects - 8:30 AM-10:00 AM 8:30 AM-10:30 AM Part II of II Room:Center Ballroom - Main Level Room:Bouchon - Main Level 8:30 AM-10:30 AM For Part 1 see MS34 For Part 2 see MS61 Room:Rattlers - Main Level Speakers will talk on new developments in Liquid films and jets of micro- or For Part 1 see MS35 analysis for PDE with strongly nonlinear nanoscale thickness occur widely in nature The main purpose of this session is to bring effects. and industrial processes. Mathematical together specialists in the field of singular models describing them are often perturbations and boundary layers. In the Organizer: Jeremy L. Marzuola represented by high order coupled PDEs presence of boundaries, the behavior of the University of North Carolina at Chapel of parabolic or mixed type. Interplay solutions to the Navier-Stokes in the limit Hill, USA between nonlinear curvature and viscosity of vanishing viscosity is still an outstanding Organizer: Daniel Tataru terms with those describing intermolecular problem in mathematical fluid dynamics. interactions leads to formation of University of California, Berkeley, USA Similar problems occur in many other areas sophisticated analytical and geometric of sciences. Furthermore, numerical methods 8:30-8:55 The Euler-Maxwell and singularities of their solutions, e.g. finite for singularly perturbed equations remain Related Models time jet breakup, film rupture, cusps challenging problems. This minisymposium is Benoit Pausader, Brown University, USA or moving contact lines with singular meant to be a platform to exchange ideas on 9:00-9:25 Title Not Available at Time asymptotics. Self-similar structure of these problems. of Publication these singularities can be analyzed using Benjamin Dodson, Johns Hopkins asymptotical analysis and nonlinear Organizer: Gung-Min Gie University, USA simulations. The minisymposium University of Louisville, USA provides a platform to investigate these 9:30-9:55 Title Not Available at Time questions from analytical and numerical Organizer: YoungJoon Hong of Publication perspectives. Indiana University, USA Herbert Koch, Bonn University, Germany Organizer: Marco A. Fontelos Organizer: Chang-Yeol Jung Institute for Mathematics, CSIC, Spain Ulsan National Institute of Science and Technology, South Korea Organizer: Georgy Kitavtsev University of Bristol, United Kingdom Organizer: Roger M. Temam Indiana University, USA 8:30-8:55 Singularities in Jet and Bubble Breakup and Related 8:30-8:55 Sharp Interface Limit of the Applications Coupled Cahn-Hilliard-Stokes-Darcy Marco A. Fontelos, Institute for System Mathematics, CSIC, Spain Xiaoming Wang, Florida State University, USA 9:00-9:25 Healing Capillary Films Zhong Zheng, Princeton University, 9:00-9:25 Stability of Time Periodic USA; Marco A. Fontelos, Institute for Solutions of the Navier-Stokes-Maxwell Mathematics, CSIC, Spain; Sangwoo System? Slim Ibrahim, University of Victoria, Canada; Shin and Howard A Stone, Princeton Nader Masmoudi, Courant Institute University, USA of Mathematical Sciences, New York 9:30-9:55 Existence and Application University, USA; Pierre-Gilles Lemarie, of Cusps and Cuspidal Edges at University of Evry-Val-d’Essonne, France Fluid Interfaces Rouslan Krechetnikov, University of 9:30-9:55 Title Not Available at Time of Alberta, Canada Publication Xiaobing H. Feng, University of Tennessee, 10:00-10:25 Higher-Order PDE USA Describing Two-Phase Flow in Porous Media 10:00-10:25 Initial-Boundary Layer Melissa Strait and Michael Shearer, North Associated with the Darcy-Brinkman- Carolina State University, USA Oberbeck-Boussinesq Model for Convection in Porous Medium Daozhi Han, Florida State University, USA SIAM Conference on Analysis of Partial Differential Equations 33

Tuesday, December 8 10:00-10:25 A Necessary and Tuesday, December 8 Sufficient Condition for the MS50 Continuity of Local Minima of MS51 Parabolic Variational Integrals with Recent Development Linear Growth Self-organization in Modeling, Control, Colin James Klaus, Vanderbilt University, Phenomena in Elliptic and Theoretical and Numerical USA Parabolic Systems - Analysis of Complex 10:30-10:55 On the Optimal Control Part I of II of the Inverse Multiphase Stefan Systems with Dynamic Problem 8:30 AM-10:30 AM Boundaries - Part I of II Bruno Poggi Cevallos, University of Room:Four Peaks - Upper Level 8:30 AM-11:00 AM Minnesota, USA; Ugur G. Abdulla, Florida Institute of Technology, USA For Part 2 see MS65 Room:Chambers Lecture Hall - Main Level This minisymposium is devoted to studies of solutions to elliptic and parabolic PDE For Part 2 see MS64 systems arising from physical and biological Many outstanding open problems of modern systems, often of multiple constituents, science and engineering involve free with self-organizing properties. Examples boundaries whose dynamics are determined include Giere-Meinhardt type reaction as a part of the solution. The analysis diffusion equations, Ohta-Kawasaki of the underlying PDE systems poses block copolymer problems, and equations significant mathematical challenges. This of Micro-Electromechanical Systems. minisymposium will highlight some recent Recently developed analytic, asymptotic, advances in analytical and computational and computational techniques will be studies for such systems. Examples include presented. These methods capture many inverse free boundary problems, optimal geometric structures in the PDE solutions. control of phase transition processes, The geometric structures may appear as a multi-phase fluid mixture flow, inverse single object, or as multiple components in scattering problems, stochastic differential an assembly. In the latter case one can often equations and optimal control, viscoelastic identify an growth property and an inhibition fluid simulation, interfaces for nonlinear property that drive pattern formation. degenerate and singular parabolic PDEs, electrical impedance tomography based Organizer: Xiaofeng Ren cancer detection model. George Washington University, USA Organizer: Ugur G. Abdulla 8:30-8:55 Bilayers and Multilayers in Florida Institute of Technology, USA Copolymer-solvent Blends Organizer: Jian Du Karl Glasner, University of Arizona, USA Florida Institute of Technology, USA 9:00-9:25 Continuum Model of Cyanobacteria Motion Organizer: Vladislav Theo Kolokolnikov, University of British Bukshtynov Columbia, Canada Florida Institute of Technology, USA 9:30-9:55 Vibrational Patterns of Thin 8:30-8:55 On the Optimal Control of Plates with Clamped Patches Parabolic Free Boundary Problems Alan E. Lindsay, University of Notre Dame, Ugur G. Abdulla, Florida Institute of USA Technology, USA 10:00-10:25 Refined Stability 9:00-9:25 SDEs and Optimal Control, Thresholds for Steady-State Multi- a Method of Evolving Junction Spot Solutions to Reaction-Diffusion Haomin Zhou, Georgia Institute of Systems in Finite 2-D Domains Technology, USA Michael Ward, University of British Columbia, Canada 9:30-9:55 Reconstruction in Phaseless Inverse Scattering Problems Michael V. Klibanov, University of North Carolina, Charlotte, USA

continued in next column 34 SIAM Conference on Analysis of Partial Differential Equations

Tuesday, December 8 Tuesday, December 8 Tuesday, December 8 MS52 MS53 IP3 Inverse Scattering and Partial Differential Hypersurfaces with Almost Dispersive Nonlinear Equations and Geometric Constant Mean Curvature Equations - Part I of II Analysis - Part II of II and Capillarity Theory 8:30 AM-10:30 AM 8:30 AM-10:30 AM 11:00 AM-11:45 AM Room:Flagstaff A - Upper Level Room:Flagstaff B - Upper Level Room:Forum - Lower Level For Part 2 see MS54 For Part 1 see MS39 Chair: Robert V. Kohn, Courant Institute This symposium will gather junior and senior This minisymposium emphasizes recent of Mathematical Sciences, New York researchers at the interface of dispersive developments in analysis of non- linear University, USA nonlinear equations and completely elliptic and parabolic partial differential Alexandrov’s theorem asserts that a integrable systems, with an emphasis on equations arising in differential geometry, (bounded, embedded) constant mean the use of inverse scattering methods to and especially geometric flow equations, curvature (cmc) hypersurface must be a prove global existence of solutions and including mean curvature flow, Ricci flow, sphere. It is well-known that if this condition characterize long-time and small-dispersion and Yang-Mills gradient flow, together with is relaxed and the mean curvature is just limits of the completely integrable PDE’s. their applications to differential geometry assumed to be close to a constant, then the Emphasis will be given to the work of young and mathematical physics. corresponding hypersurfaces does not need researchers, with senior researchers to guide Organizer: Paul Feehan to be close to a sphere. Indeed any family of the discussion and place the work in a larger nearby spheres with equal radii connected Rutgers University, USA context. by short catenoidal necks can be slightly 8:30-8:55 The Quilted Atiyah-Floer Organizer: Peter A. Perry perturbed to obtain examples of almost-cmc Conjecture and the Yang-Mills Heat hypersurfaces. We show that these examples University of Kentucky, USA Flow actually capture the only possible behavior Organizer: Catherine Sulem David Duncan, McMaster University, of almost-cmc hypersurfaces, by proving Canada University of Toronto, Canada various quantitative bounds on the distance 9:00-9:25 Global Existence and between an almost-cmc hypersurface and a 8:30-8:55 D-Bar Problems: collection of tangent spheres of equal radii Computation, Asymptotics, and Convergence of Smooth Solutions in terms of their mean curvature oscillation. Applications to Yang-Mills Gradient Flow over This is a joint work with G. Ciraolo (U Ken McLaughlin, University of Arizona, Compact Four-Manifolds Palermo). We next discuss these issues for USA Paul Feehan, Rutgers University, USA the nonlocal mean curvature introduced 9:30-9:55 Higher Order Yang-Mills 9:00-9:25 A Spectral Problem Related by Caffarelli and Souganidis, showing in Flow to the Scattering Transform of the particular a remarkable rigidity property Casey Lynn Kelleher, University of Benjamin-Ono Equation of the nonlocal problem which prevents California, Irvine, USA Yilun Wu, University of Indiana, USA bubbling phenomena, in other words, every 9:30-9:55 Direct Scattering and Small 10:00-10:25 Generalized Kahler nonlocal almost-cmc hypersurface must be Dispersion for the Benjamin-Ono Ricci Flow close to a single sphere. This is a joint work Equation with Rational Initial Data Jeffrey Streets, University of California, with G. Ciraolo, A. Figalli (UT Austin) and Alfredo N. Wetzel and Peter D. Miller, Irvine, USA M. Novaga (U Pisa). University of Michigan, Ann Arbor, USA Francesco Maggi 10:00-10:25 Global Solutions for University of Texas at Austin, USA the Zero-Energy Novikov-Veselov Coffee Break Equation by Inverse Scattering Michael Music and Peter A. Perry, University 10:30 AM-10:55 AM of Kentucky, USA Room:Forum - Lower Level

Announcements 10:55 AM-11:00 AM Room:Forum - Lower Level SIAM Conference on Analysis of Partial Differential Equations 35

Tuesday, December 8 Tuesday, December 8 Tuesday, December 8 IP4 MS54 MS55 Long Time Dynamics for Two Inverse Scattering and Equations of 3D Flows - Dimensional Water Wave Dispersive Nonlinear Part II of II Models Equations - Part II of II 2:30 PM-4:30 PM 11:45 AM-12:30 PM 2:30 PM-4:30 PM Room:Rio Verde - Main Level Room:Forum - Lower Level Room:Forum - Lower Level For Part 1 see MS40 This session is dedicated to mathematical Chair: Robert V. Kohn, Courant Institute of For Part 1 see MS52 analysis of partial differential equations Mathematical Sciences, New York University, This symposium will gather junior arising in Fluid Mechanics. We want to USA and senior researchers at the interface bring together specialists working on various The water wave type equations describe the of dispersive nonlinear equations and aspects of models of 3D flows, such as evolution of the free surface of an inviscid, completely integrable systems, with an Navier-Stokes or Euler equations. We will incompressible fluid evolving under the emphasis on the use of inverse scattering present recent progress concerning the action of gravity, surface tension, etc. methods to prove global existence of existence, asymptotic analysis and regularity Understanding the long time dynamics for solutions and characterize long-time and of solutions. The aim is to compare the such fluid models is a challenging yet very small-dispersion limits of the completely theory of strong and weak solutions, and to interesting problem. The aim of this talk is integrable PDE’s. Emphasis will be given determine how the techniques of one may be to present some recent ideas and results in to the work of young researchers, with used to find new results in the other. this direction for two dimensional fluids. This senior researchers to guide the discussion work is joint with Mihaela Ifrim, and also in and place the work in a larger context. Organizer: Piotr Mucha part with John Hunter and Benjamin Harrop- Warsaw University, Poland Griffiths. Organizer: Peter A. Perry University of Kentucky, USA Organizer: Ewelina Zatorska Daniel Tataru Warsaw University of Technology, Poland University of California, Berkeley, USA Organizer: Catherine Sulem 2:30-2:55 Global Existence of University of Toronto, Canada Solutions to the 3D Navier-Stokes 2:30-2:55 The Nonlinear Stage of Equations with Degenerate Viscosities the Modulational Instability Alexis F. Vasseur, University of Texas at Lunch Break Gino Biondini, State University of New Austin, USA; Cheng Yu, University of 12:30 PM-2:30 PM York at Buffalo, USA Texas, USA Attendees on their own 3:00-3:25 Inverse Scattering and 3:00-3:25 Primitive Equations and Long-Time Asymptotics for the Convergence to the 3D-Quasi- Derivative Nonlinear Schrodinger Geostrophic Model Equation Frederic Charve, Université Paris-Est, Jiaqi Liu and Peter A. Perry, University France of Kentucky, USA; Catherine Sulem, 3:30-3:55 On Multiphase Flows: University of Toronto, Canada Modeling and Analysis 3:30-3:55 Forward Scattering for the Konstantina Trivisa, University of Maryland, Semiclassical Three Wave Equation USA Robert J. Buckingham, University of 4:00-4:25 Navier-Stokes Equations of Cincinnati, USA; Robert Jenkins, Slightly Compressible Flows University of Arizona, USA; Peter D. Piotr Mucha, Warsaw University, Poland Miller, University of Michigan, Ann Arbor, USA 4:00-4:25 Initial-Boundary Value Problems of Integrable Systems Stephanos Venakides, Duke University, USA 36 SIAM Conference on Analysis of Partial Differential Equations

Tuesday, December 8 Tuesday, December 8 Tuesday, December 8 MS56 MS57 MS58 PDEs for Defects Problems Numerical Methods for Analytical Methods in Fluid in Materials Science - PDE and Applications in Mechanics - Part I of II Part II of II Computational and Data 2:30 PM-4:30 PM 2:30 PM-4:30 PM Science - Part II of II Room:Sedona - Main Level Room:Sonora - Main Level 2:30 PM-4:30 PM For Part 2 see MS70 For Part 1 see MS42 Room:San Carlos - Main Level The main purpose of this minisymposium This minisymposium brings together is to bring together junior researchers who For Part 1 see MS43 have already established themselves as experts in PDE modelling and analysis Partial differential equations (PDE) are specialists and, in some cases, leaders in the of defects in materials science, such as playing increasingly important roles in field of mathematical fluid mechanics. The dislocations, cracks, grain boundaries, computational and data science problems. complementary yet cohesive nature of the nucleation, etc. The minisymposium will Applications of PDE require efficient speakers’ expertise, that is, the use of similar focus on recent progress in this field and and accurate numerical schemes, and this analytical tools in the study of the classical future directions. presents a new array of computational and geophysical fluid mechanics, gives challenges and opportunities. This Organizer: Jianfeng Lu focus and purpose to the minisymposium. minisymposium will address recent Duke University, USA This minisymposium is meant as a platform advances in numerical schemes, as well as to exchange ideas on a variety of problems new applications of PDE in computational Organizer: Yang Xiang concerning the behavior of fluids. Hong Kong University of Science and and data science. Some topics to be Technology, Hong Kong addressed include machine learning, crowd Organizer: Gung-Min Gie motion, optimal transportation, materials 2:30-2:55 Motion by Mean University of Louisville, USA science, and numerical schemes for viscosity Curvature for a Second Order solutions. Organizer: James P. Kelliher Gradient Theory University of California, Riverside, USA Drew Swartz and Aaron Yip, Purdue Organizer: Jeff Calder University, USA University of California, Berkeley, USA Organizer: Anna L. Mazzucato 3:00-3:25 Variational Models for Pennsylvania State University, USA Organizer: Adam M. Oberman Crystal Image Analysis 2:30-2:55 Recent Developments on McGill University, Canada Jianfeng Lu, Duke University, USA the Magnetohydrodynamics and 3:30-3:55 Hölder Gradient Estimates 2:30-2:55 Novel Techniques for Related Systems for Parabolic Homogeneous Integrating over Implicitly Defined Kazuo Yamazaki, Washington State p-Laplacian Equations Curves and Surfaces University, USA Tianling Jin, Hong Kong University of Catherine M. Kublik, University of Dayton, USA 3:00-3:25 An Anisotropic Partial Science and Technology, Hong Kong; Regularity Criterion for the 3D Luis Silvestre, University of Chicago, 3:00-3:25 Numerical Methods for Incompressible Navier-Stokes USA Anisotropic Curvature Flow of Equations 4:00-4:25 A Non-local Variational Networks of Surfaces Walter Rusin, Oklahoma State University, Problem Arising from Studies of Selim Esedoglu, University of California, USA Los Angeles, USA Nonlinear Charge Screening in 3:30-3:55 Recent Progress on the Graphene Monolayers 3:30-3:55 Numerical Methods for the Exterior Domain Problem on a Jianfeng Lu, Duke University, USA; 2-Hessian Elliptic Partial Differential Hyperbolic Plane Vitaly Moroz, Swansea University of Equation Magdalena Czubak, Binghamton University, South Wales, United Kingdom; Cyrill Brittany Froese, University of Texas at USA B. Muratov, New Jersey Institute of Austin, USA; Adam M. Oberman and Technology, USA Tiago Salvador, McGill University, 4:00-4:25 Small Moving Rigid Body Canada into a Viscous Fluid Christophe Lacave, Universite Paris 7-Denis 4:00-4:25 Fast Numerical Methods for Diderot, France Optimal Transportation for General Costs Yuanlong Ruan and Adam M. Oberman, McGill University, Canada SIAM Conference on Analysis of Partial Differential Equations 37

Tuesday, December 8 Tuesday, December 8 Tuesday, December 8 MS59 MS60 MS61 PDE Models and Control of Large-Time Dynamics Singularities of High Order Swarm Dynamics - Part I of II of the Navier-Stokes PDEs Describing Liquid Jets 2:30 PM-4:30 PM Equations and related PDEs and Films - Part II of II Room:Palomas - Main Level - Part II of II 2:30 PM-4:30 PM For Part 2 see MS71 2:30 PM-4:30 PM Room:Center Ballroom - Main Level PDEs can be used to model the spatiotemporal Room:Coronado - Main Level For Part 1 see MS48 dynamics of large collectives, or “swarms,” Liquid films and jets of micro- or nanoscale of discrete individuals. These models enable For Part 1 see MS46 The accurate, reliable prediction of the long- thickness occur widely in nature and the prediction, analysis, and control of swarm industrial processes. Mathematical models dynamics in multi-robot tasks, multi-vehicle time dynamical evolution of hydrodynamic systems has become increasingly important describing them are often represented by coordination, and the study of self-organized high order coupled PDEs of parabolic or behaviors in biological, social, and economic in the climatological, astrophysical, and geophysical sciences. Mathematically mixed type. Interplay between nonlinear systems. The reliable use of PDEs in swarm curvature and viscosity terms with those applications requires further research on quantifying this behaviour allows for more accurate and cost-effective reduced models, describing intermolecular interactions leads differences between discrete and continuum to formation of sophisticated analytical and models and the controllability of the models. and helps validate existing models, leading to more realistic real-time predictions for the geometric singularities of their solutions, To facilitate discussions on these problems, e.g. finite time jet breakup, film rupture, this minisymposium will bring together long-time dynamics of such systems. This minisymposium will address the long-time cusps or moving contact lines with singular mathematicians and engineers who apply asymptotics. Self-similar structure of techniques from kinetic theory, network dynamics of hydrodynamic models such as the Navier-Stokes equations and related these singularities can be analyzed using science, numerical analysis, and optimal asymptotical analysis and nonlinear control to swarm PDE models. models. Of particular interest are the study of the global attracting set, techniques in simulations. The minisymposium provides a Organizer: Andrea L. Bertozzi data assimilation, asymptotically reduced platform to investigate these questions from University of California, Los Angeles, USA models, and the global well-posedness in analytical and numerical perspectives. time of these models. Organizer: Spring M. Berman Organizer: Marco A. Fontelos Arizona State University, USA Organizer: Jared P. Institute for Mathematics, CSIC, Spain 2:30-2:55 Control of PDE Models Whitehead Organizer: Georgy Kitavtsev of Robotic Swarms with Stochastic Brigham Young University, USA University of Bristol, United Kingdom Behaviors 2:30-2:55 On the Serrin-type 2:30-2:55 Asymptotical Decay and Spring M. Berman, Arizona State University, Regularity Criteria of the Navier- USA Rupture of Solutions to Thin Film Stokes Equations and MHD Equations Equations 3:00-3:25 Large System Limits in Control Yuan Pei, University of Nebraska, Lincoln, Georgy Kitavtsev, University of Bristol, of Multi-Vehicular Formations USA United Kingdom; Roman Taranets, Bassam A. Bamieh, University of California, 3:00-3:25 On the Attractor for University of California, Los Angeles, Santa Barbara, USA the Semi-dissipative Boussinesq USA 3:30-3:55 Phase Transitions in a Kinetic Equations 3:00-3:25 The Thin Film Equation Close Animikh Biswas Cucker-Smale Model with Preferred , University of Maryland, to Self-similarity Speed and Diffusion Baltimore County, USA Christian Seis, Universität Bonn, Alethea Barbaro, Case Western Reserve 3:30-3:55 Forward Discretely Self- Germany University, USA; Jose Canizo, University of Similar Solutions of the Navier-Stokes Birmingham, United Kingdom; Jose Carrillo 3:30-3:55 Rigorous Asymptotics of Equations Traveling-Wave Solutions to the Thin- and Pierre Degond, Imperial College Zachary Bradshaw and Tai-Peng Tsai, London, United Kingdom Film Equation and Tanner’s Law University of British Columbia, Canada Manuel V. Gnann, University of Michigan, 4:00-4:25 A Blob Method for the 4:00-4:25 Finite Dimensionality of USA; Lorenzo Giacomelli, University of Aggregation Equation the Global Attractor for the Solutions Rome La Sapienza, Italy; Felix Otto, Max Katy Craig, University of California, Santa to the 3D Primitive Equations with Planck Institute for Mathematics in the Barbara, USA; Andrea L. Bertozzi, Viscosity Sciences, Germany University of California, Los Angeles, USA Ning Ju, Oklahoma State University, USA 4:00-4:25 Dispersive and Diffusive Shock Waves Michael Shearer, North Carolina State University, USA; Mark Hoefer, University of Colorado Boulder, USA; Gennady El, Loughborough Universoty, United Kingdom 38 SIAM Conference on Analysis of Partial Differential Equations

Tuesday, December 8 Tuesday, December 8 Tuesday, December 8 MS62 MS63 MS64 Water Waves - Part I of II New Trends in Elliptic Recent Development 2:30 PM-4:30 PM and Partial Differential in Modeling, Control, Theoretical and Numerical Room:Bouchon - Main Level Equations - Part I of II Analysis of Complex Systems For Part 2 see MS74 2:30 PM-4:30 PM The last decade has seen an impressive with Dynamic Boundaries - Room:Rattlers - Main Level advance in the understanding of both Part II of II permanent progressive waves (steady For Part 2 see MS75 water waves) and the evolution of general This minisymposium aims to gather 2:30 PM-4:30 PM initial data. Theories have been developed specialists on various closely related Room:Chambers Lecture Hall - Main Level to incorporate such physical effects as topics in parabolic and elliptic differential For Part 1 see MS50 vorticity, wind, stagnation and internal equations. The speakers will present on Many outstanding open problems of modern waves. Mathematically, water waves are free boundary problems, homogeneization, science and engineering involve free generally governed by nonlinear nonlocal variational methods, and fractional boundaries whose dynamics are determined equations. In steady form, these become diffusion. These areas of research are as a part of the solution. The analysis (degenerate) elliptic problems, while often interrelated and borrow and lend of the underlying PDE systems poses in time-dependent form they exhibit techniques, approaches, and methods significant mathematical challenges. This hyperbolic behavior (such as finite-time from each other. Furthermore, many of minisymposium will highlight some recent singularities). In this minisymposium the presentations will address problems advances in analytical and computational particular attention will be paid to the free that involve more than one of the studies for such systems. Examples include surface Euler equations, but contributions aforementioned areas. The presentations inverse free boundary problems, optimal related to other dispersive models of water will present new trends in these topics control of phase transition processes, multi- waves are also welcome. as well as the techniques and methods developed to drive these topics forward. phase fluid mixture flow, inverse scattering Organizer: Mats Ehrnstrom problems, stochastic differential equations and Norwegian University of Science and Organizer: Francesco Maggi optimal control, viscoelastic fluid simulation, Technology, Norway University of Texas at Austin, USA interfaces for nonlinear degenerate and singular parabolic PDEs, electrical impedance Organizer: Samuel Walsh Organizer: Mark Allen tomography based cancer detection model. University of Missouri, USA University of Texas at Austin, USA 2:30-2:55 Parabolic Problems with a Organizer: Ugur G. Abdulla 2:30-2:55 The Dynamics of Floating Florida Institute of Technology, USA Structures Fractional Time Derivative David Lannes, Universite de Bordeaux I, Mark Allen, Luis Caffarelli, and Alexis F. Organizer: Jian Du France Vasseur, University of Texas at Austin, Florida Institute of Technology, USA USA 3:00-3:25 Three-Dimensional Organizer: Vladislav Bukshtynov Solitary Water Waves with Weak 3:00-3:25 The Obstacle Problem for Florida Institute of Technology, USA Surface Tension the Fractional Laplacian with Drift Mark D. Groves, Universität des Camelia Pop, University of Minnesota, 2:30-2:55 Computational Studies on Saarlandes, Germany USA; Nicola Garofalo, Universita di Dynamical Boundaries in Two-Phase Padova, Italy; Arshak Petrosyan, Purdue Gels 3:30-3:55 On the Highest Wave for University, USA; Mariana Smit Vega Jian Du, Florida Institute of Technology, the Whitham Equation Garcia, University of Duisburg-Essen, USA; Aaron L. Fogelson, University of Erik Wahlen, Lund University, Sweden; Germany Utah, USA; Robert D. Guy, University of Mats Ehrnstrom, Norwegian University California, Davis, USA of Science and Technology, Norway 3:30-3:55 Regularity for Boundary Nonlocal Equations 3:00-3:25 On the Optimal Control of 4:00-4:25 Existence and Qualitative Pablo R. Stinga, University of Texas at the Stefan Problem Theory for Solitary Stratified Water Austin, USA Jonathan Goldfarb and Ugur G. Abdulla, Waves Florida Institute of Technology, USA Samuel Walsh, University of Missouri, 4:00-4:25 Singular Points in Two- USA; Ming Chen, University of Phase Free Boundary Problems for Pittsburgh, USA; Miles Wheeler, Harmonic Measure Courant Institute of Mathematical Matthew Badger, University of Sciences, New York University, USA Connecticut, USA; Max Engelstein, University of Chicago, USA; Tatiana Toro, University of Washington, USA

continued on next page SIAM Conference on Analysis of Partial Differential Equations 39

3:30-3:55 Breast Cancer Detection Tuesday, December 8 Through Electrical Impedance Tuesday, December 8 Tomography: Variational Method MS66 Through Optimal Control Theory MS65 Vladislav Bukshtynov and Ugur G. Abdulla, Self-organization Free Boundary Problems Florida Institute of Technology, USA Phenomena in Elliptic and Involving Interfaces and/or 4:00-4:25 A Flexible, High Order Parabolic Systems - Elastic Deformations - Part I Numerical Method for Viscoelastic of II Fluid Simulation Using FFT-Based Part II of II Spectral Methods in Complex Domains 2:30 PM-4:30 PM 2:30 PM-4:30 PM David Stein, Robert Guy, and Becca Thomases, Room:Flagstaff A - Upper Level University of California, Davis, USA Room:Four Peaks - Upper Level For Part 1 see MS51 For Part 2 see MS82 This minisymposium is devoted to The behavior of free surfaces has long been studies of solutions to elliptic and of both mathematical and physical interest. parabolic PDE systems arising from This minisymposium will bring together physical and biological systems, often an interdisciplinary group of researchers of multiple constituents, with self- working on understanding the underlying organizing properties. Examples include principles governing free boundary problems Giere-Meinhardt type reaction diffusion and cover a variety of applications such as equations, Ohta-Kawasaki block the encapsulation of liquid drops by elastic copolymer problems, and equations sheets, the dynamics of grain boundary of Micro-Electromechanical Systems. networks, and the modeling of the earth’s Recently developed analytic, asymptotic, crust. Common to all these diverse problems and computational techniques will be is the presence strong nonlinearities and presented. These methods capture many small scale parameters, which leads to a geometric structures in the PDE solutions. unifying challenge of trying to understand The geometric structures may appear as a and predict the nature of solutions across single object, or as multiple components multiple scales. in an assembly. In the latter case one can Organizer: Nicholas D. often identify an growth property and an inhibition property that drive pattern Brubaker formation. University of Arizona, USA Organizer: John A. Gemmer Organizer: Xiaofeng Ren Brown University, USA George Washington University, USA 2:30-2:55 Capillary Induced 2:30-2:55 Minimizers of an Energy Deflections of a Thin Elastic Plate Modelling Nanoparticle-Polymer Nicholas D. Brubaker, University of Blends Arizona, USA Ihsan A. Topaloglu, McMaster University, Canada 3:00-3:25 Surfaces Produced at Vapor-to-Particle Nucleation and 3:00-3:25 Stationary Points of Binary Growth Interfaces and Ternary Inhibitory Systems Patrick Shipman, Colorado State University, Xiaofeng Ren, George Washington USA University, USA 3:30-3:55 Low Energy Deformations of 3:30-3:55 The Impact of the Domain Thin Elastic Shells Boundary on An Inhibitory System: Christian Santangelo, University of Boundary Half Discs in Stationary Massachusetts, Amherst, USA Assemblies David Shoup, Alvernia University, USA 4:00-4:25 Phyllotaxis: A Dynamical Systems Approach 4:00-4:25 Emergent Parabolic Matthew Pennybacker, University of New Scaling of Nano-Faceting Crystal Mexico, USA Growth Stephen J. Watson, University of Glasgow, Scotland, United Kingdom 40 SIAM Conference on Analysis of Partial Differential Equations

Tuesday, December 8 Tuesday, December 8 Wednesday, CP4 MT1 December 9 Geometric and Evolution PDE Aspects of Mean Field Problems Games 2:30 PM-4:30 PM 5:00 PM-7:00 PM Registration Room:Flagstaff B - Upper Level Room:Forum - Lower Level 8:00 AM-5:30 PM Chair: Matteo Rinaldi The purpose of the Minitutorial is to briefly Room:Grand Ballroom Foyer - Main Level Carnegie Mellon University, USA describe the various PDEs appearing in 2:30-2:45 On the Cheeger Constant Mean Field Games, show examples of of An Annulus applications, discuss the numerical analysis Hamilton Bueno and Grey Ercole, and conclude with open problems. Universidade Federal de Minas Gerais, Organizer: Pierre Cardaliaguet Brazil; Shirley Macedo, Universidade Université Paris Dauphine, France Federal de Ouro Preto, Brazil 2:50-3:05 Stationary Disk Speaker: Assemblies on Inhibitory Vesicles Pierre Cardaliaguet, Université Paris Yeyao Hu and Xiaofeng Ren, George Dauphine, France Washington University, USA 3:10-3:25 Asymptotics for Dilute Emulsions with Surface Tension Intermission Grigor Nika and Bogdan M. Vernescu, Worcester Polytechnic Institute, USA 7:00 PM-7:15 PM 3:30-3:45 Slow Motion for the Nonlocal Allen-Cahn in N Dimensions SIAG/APDE Business Matteo Rinaldi and Ryan Murray, Carnegie Mellon University, USA Meeting 3:50-4:05 Conservative Parabolic (open to SIAG/APDE members) Problems Max O. Souza, Universidade Federal 7:15 PM-8:00 PM Fluminense, Brazil; Olga Danilkina, Room:Forum - Lower Level University of Dodoma, Tanzania; Fabio Chalub, Universidade Nova de Lisboa, Complimentary beer and wine will be Portugal served. 4:10-4:25 Method of Evolving Junctions and the Shortest Path Problem. Haomin Zhou, Georgia Institute of Technology, USA

Coffee Break 4:30 PM-5:00 PM Room:Forum - Lower Level SIAM Conference on Analysis of Partial Differential Equations 41

Wednesday, December 9 Wednesday, December 9 9:30-9:55 Nonlinear Partial Differential Equations: Grassmann Flows, MS67 MS68 Computing Spectra and Maslov Index Recent Advances in Numerical Approximation Simon Malham, Heriot-Watt University, Theoretical and Numerical of Spectra and Computer- United Kingdom Aero- and Hydrodynamics? - assisted Proof - Part I of II 10:00-10:25 Evans Function Part I of III Computation for Planar Viscous 8:30 AM-10:30 AM Shocks in Reactive Navier-Stokes 8:30 AM-11:00 AM Room:Rio Verde - Main Level Joshua Lytle, Brigham Young University, USA; Blake Barker, Brown University, Room:Forum - Lower Level For Part 2 see MS81 USA; Jeffrey Humpherys, Brigham This minisymposium seeks to explore For Part 2 see MS83 Young University, USA; Gregory Lyng, the interfaces between numerical The Navier-Stokes and Euler equations are University of Wyoming, USA; Kevin approximation, computer-assisted the fundamental equations modeling the Zumbrun, Indiana University, USA behavior of fluids. They have a broad range proof, and stability of travelling waves. of applications in aerodynamics, geophysics, For many physically relevant systems, meteorology and engineering. Despite the spectral stability or instability has only fact that the mathematical analysis of these been determined for a limited portion equations has a long and rich history, yet many of the parameter space for which waves important and interesting problems remain exist. Recent advances in both numerical challenging and far to be well understood. Our approximation algorithms and computer- symposium will be an opportunity to see and assisted proof are providing new share, among its participants and attendees, the approaches to the study of stability of recent progress in the theory of incompressible travelling waves. These numerical methods Navier-Stokes and Euler equations and related do not provide a paper and pencil proof, systems. In particular, the focus will be on the but do provide rigorous verification of two main axes: Boundary Layer theory and stability properties. This minisymposium well-posedness issues in hydrodynamics. seeks to bring together experts from both communities to further accelerate Organizer: Slim Ibrahim development of this emerging subfield. University of Victoria, Canada Organizer: Kevin Zumbrun Organizer: Makram Hamouda Indiana University, USA Indiana University, USA Organizer: Blake Barker 8:30-8:55 Well-posedness of Initial Brown University, USA and Boundary-value Problems for the Inviscid Linear and Non-linear Shallow 8:30-8:55 Rigorous Computation Water Equations. Connection with the of Unstable Manifolds for Primitive Equations Nonlinear Parabolic Pdes Via the Roger M. Temam and Aimin Huang, Indiana Parametrization Method University, USA Christian P. Reinhardt, VU University, Amsterdam, Netherlands; Jason Mireles- 9:00-9:25 Approximating Long-time James, Florida Atlantic University, USA Statistical Behavior of Dissipative Systems 9:00-9:25 Validated Numerics and Xiaoming Wang, Florida State University, USA Connecting Orbits for Parabolic Partial Differential Equations 9:30-9:55 Theoretical and Numerical Jason Mireles-James, Florida Atlantic Studies of Staggered-grid Schemes on University, USA Unstructured Meshes Qingshan Chen, Clemson University, USA 10:00-10:25 New Time Differencing Methods for Stiff Problems and Applications Chang-Yeol Jung and Thien Binh Nguyen, Ulsan National Institute of Science and Technology, South Korea 10:30-10:55 Invariant Measures for Passive Scalars in the Small Noise Inviscid Limit continued in next column Michele Coti Zelati and Jacob Bedrossian, University of Maryland, USA; Nathan Glatt- Holtz, Virginia Tech, USA 42 SIAM Conference on Analysis of Partial Differential Equations

Wednesday, December 9 Wednesday, December 9 Wednesday, December 9 MS69 MS70 MS71 Dynamics of Partial Analytical Methods in Fluid PDE Models and Control Differential Equations - Mechanics - Part II of II of Swarm Dynamics - Part II of II 8:30 AM-10:30 AM Part II of II 8:30 AM-11:00 AM Room:Sedona - Main Level 8:30 AM-10:30 AM Room:Sonora - Main Level For Part 1 see MS58 Room:Palomas - Main Level The main purpose of this minisymposium For Part 1 see MS28 For Part 1 see MS59 is to bring together junior researchers who Complex systems described by partial PDEs can be used to model the have already established themselves as differential equations (PDEs) pose great spatiotemporal dynamics of large collectives, specialists and, in some cases, leaders in challenges to understanding natural or “swarms,” of discrete individuals. These the field of mathematical fluid mechanics. phenomena. They involve the nonlinear models enable the prediction, analysis, The complementary yet cohesive nature dynamics in infinite dimensional spaces. and control of swarm dynamics in multi- of the speakers’ expertise, that is, the use Despite progresses made in the last 50 robot tasks, multi-vehicle coordination, and of similar analytical tools in the study years, the mathematical tools succeed only the study of self-organized behaviors in of the classical and geophysical fluid modestly in analyzing the PDEs dynamics. biological, social, and economic systems. mechanics, gives focus and purpose to Nonetheless, a wide range of methods and The reliable use of PDEs in swarm the minisymposium. This minisymposium techniques have been created to attack the applications requires further research on is meant as a platform to exchange ideas problems. This minisymposium will bring differences between discrete and continuum on a variety of problems concerning the together researchers from different branches models and the controllability of the models. behavior of fluids. of the field. It will cover various topics To facilitate discussions on these problems, from abstract theory of dynamical systems Organizer: Gung-Min Gie this minisymposium will bring together mathematicians and engineers who apply in infinite dimensional spaces to their University of Louisville, USA applications to PDEs in fluid mechanics, techniques from kinetic theory, network mathematical biology and quantum physics. Organizer: James P. Kelliher science, numerical analysis, and optimal University of California, Riverside, USA control to swarm PDE models. Organizer: Luan Hoang Texas Tech University, USA Organizer: Anna L. Organizer: Andrea L. Bertozzi Mazzucato University of California, Los Angeles, USA Organizer: Eric Olson Pennsylvania State University, USA University of Nevada, Reno, USA Organizer: Spring M. Berman 8:30-8:55 On Global Existence for Arizona State University, USA 8:30-8:55 Asymptotic Stability of Euler-Maxwell System Solitary Waves in 1-D Nonlinear Dirac Benoit Pausader, Princeton University, 8:30-8:55 Inhomogeneous Boltzmann- Equation USA Type Equations Modeling Opinion Tuoc Van Phan, University of Tennessee, Leadership and Political Segregation 9:00-9:25 Incompressible Euler Knoxville, USA Bertram Düring, University of Sussex, Equations and the Effect of United Kingdom 9:00-9:25 On the Kolmogorov Entropy Changes at a Distance of the Weak Global Attractor of the Elaine Cozzi, Oregon State University, 9:00-9:25 Adaptive Control of 3D Navier-Stokes Equations USA; James P. Kelliher, University of Multiscale Dynamical Systems Silvia Ferrari, Cornell University, USA; Cecilia F. Mondaini, Ciprian Foias, and California, Riverside, USA Bingsheng Zhang, Texas A&M University, Pingping Zhu, Duke University, USA 9:30-9:55 Rigorous Bounds on the USA Transport of Heat in Rayleigh- 9:30-9:55 Macroscopic PDEs for 9:30-9:55 Global Solutions to the Bénard Convection at Infinite Flocking Dynamics Sebastien Motsch Derivative NLS Equation with the Prandtl Number , Arizona State University, Inverse Scattering Transform Method Jared P. Whitehead, Brigham Young USA Dmitry Pelinovsky and Yusuke Shimabukuro, University, USA 10:00-10:25 Kinetic Models for McMaster University, Canada 10:00-10:25 Title Not Available at Differential Games Christian Ringhofer 10:00-10:25 Determining Wavenumber Time of Publication , Arizona State for Fluid Equations Gung-Min Gie, University of Louisville, University, USA Alexey Cheskidov, University of Illinois, USA Chicago, USA 10:30-10:55 On the Inviscid Limit Peter Constantin, Princeton University, USA SIAM Conference on Analysis of Partial Differential Equations 43

Wednesday, December 9 Wednesday, December 9 Wednesday, December 9 MS72 MS73 MS74 Nonlinear Parabolic Recent Developments in Water Waves - Part II of II Equations and Applications - the Analysis of the Navier- 8:30 AM-10:30 AM Stokes, Euler, and Related Part I of IV Room:Bouchon - Main Level Models: Part I of III 8:30 AM-10:30 AM For Part 1 see MS62 Room:Coronado - Main Level 8:30 AM-10:30 AM The last decade has seen an impressive advance in the understanding of both For Part 2 see MS85 Room:Center Ballroom - Main Level permanent progressive waves (steady water Nonlinear parabolic differential equations For Part 2 see MS95 waves) and the evolution of general initial play an important role in many applications, The emphasis will be on the analysis data. Theories have been developed to including fluid dynamics, phase transitions, of the Navier-Stokes equation, Euler incorporate such physical effects as vorticity, image processing, materials sciences, and equation, and related models, describing wind, stagnation and internal waves. geometry. This session focuses on recent for instance the interaction with solid Mathematically, water waves are generally developments in these areas, with an emphasis bodies immersed in the fluid, the effect of governed by nonlinear nonlocal equations. on well-posedness, qualitative behavior, and having a magnetized fluid, or the influence In steady form, these become (degenerate) numerical analysis of solutions. of boundaries. These equations are used elliptic problems, while in time-dependent Organizer: Gieri Simonett to model various physical phenomena form they exhibit hyperbolic behavior Vanderbilt University, USA ranging from the theory of turbulence to (such as finite-time singularities). In this oceanography. Besides the fundamental minisymposium particular attention will Organizer: Patrick Guidotti questions of existence and uniqueness be paid to the free surface Euler equations, University of California, Irvine, USA of solutions, the talks in this session will but contributions related to other dispersive Organizer: Yuanzhen Shao address central qualitative properties of models of water waves are also welcome. Vanderbilt University, USA equations, such as regularity, (in)stability, long time dynamics, analysis of special Organizer: Mats Ehrnstrom 8:30-8:55 Coupling Einstein and Navier- solutions (self-similar, axis-symmetric), Norwegian University of Science and Stokes Equations the behavior in singular limit regimes Technology, Norway Marcelo Disconzi, Vanderbilt University, USA (the inviscid limit of the Navier-Stokes Organizer: Samuel Walsh 9:00-9:25 On Minimizers of the Landau- equation). University of Missouri, USA De Gennes Energy Functional under Weak Anchoring Boundary Conditions Organizer: Igor Kukavica 8:30-8:55 On the Slope of Steady Changyou Wang, Purdue University, USA University of Southern California, USA Water Waves Walter Strauss, Brown University, USA 9:30-9:55 Doubling Estimates, Vanishing Organizer: Christophe Order and Nodal Sets of Steklov Lacave 9:00-9:25 Instabilities in some shallow Eigenfunctions water models Universite Paris 7-Denis Diderot, Jiuyi Zhu, Chris Sogge, and Xing Wang, Johns Vera Mikyoung Hur, Ashish Pandey, and France Hopkins University, USA Lizheng Tao, University of Illinois at Urbana-Champaign, USA 10:00-10:25 Well-Posedness for Organizer: Vlad C. Vicol Princeton University, USA Nonlinear Wave Equations 9:30-9:55 Blow Up of Solutions to Geng Chen, Georgia Institute of Technology, 8:30-8:55 Complex Fluids and Some Quasilinear Equations Arising USA Electroconvection from Water Waves Peter Constantin, Princeton University, Robin Ming Chen, University of Pittsburgh, USA USA; Fei Guo, Nanjing Normal University, China; Yue Liu, University of 9:00-9:25 Very Weak Solutions to Texas at Arlington, USA; Changzheng Qu, the Stokes Problem in a Convex Ningbo University, China Polygon Roger M. Temam, Makram Hamouda, and 10:00-10:25 Multi-Dimensional Le Zhang, Indiana University, USA Bifurcation in Steady Water Waves with Vorticity 9:30-9:55 Spectral Gaps and Bloch Mats Ehrnstrom, Norwegian University of Decomposition for the Linearized Science and Technology, Norway Water-Waves Equations Maxime Gazeau, University of Toronto, Canada 10:00-10:25 Almost Global Existence of the Prandtl Equations Mihaela Ignatova and Vlad C. Vicol, Princeton University, USA 44 SIAM Conference on Analysis of Partial Differential Equations

Wednesday, December 9 Wednesday, December 9 9:30-9:55 Stochastic Galerkin Formulations of Conservation Laws: MS75 MS76 Challenges in the Generalization of Deterministic Solvers to New Systems New Trends in Elliptic and Uncertainty Quantification of PDEs Partial Differential Equations for Hyperbolic and Kinetic Per Pettersson, University of Bergen, Norway - Part II of II Equations - Part I of II 10:00-10:25 Uncertainty 8:30 AM-10:30 AM 8:30 AM-10:30 AM Quantification with Limited Data Room:Rattlers - Main Level Room:Chambers Lecture Hall - Main Level Xiu Yang, Huan Lei, and Nathan Baker, Pacific Northwest National Laboratory, For Part 1 see MS63 For Part 2 see MS89 USA; Guang Lin, Purdue University, USA This minisymposium aims to gather Hyperbolic and kinetic equations often specialists on various closely related topics in contain uncertain parameters due to parabolic and elliptic differential equations. inaccurate modeling, measurements, or The speakers will present on free boundary empirical constitutive relations. A proper problems, homogeneization, variational quantification of these uncertainties is methods, and fractional diffusion. These therefore of practical importance to obtain areas of research are often interrelated and reliable predictions to solutions of such borrow and lend techniques, approaches, equations. Moreover, the nonlinear nature and methods from each other. Furthermore, of these problems poses great challenges in many of the presentations will address designing and analyzing efficient numerical/ problems that involve more than one of the computational methods. We will report aforementioned areas. The presentations will recent progress of uncertainty quantification present new trends in these topics as well for hyperbolic, kinetic, and related as the techniques and methods developed to problems. drive these topics forward. Organizer: Alina Chertock Organizer: Francesco Maggi North Carolina State University, USA University of Texas at Austin, USA Organizer: Jingwei Hu Organizer: Mark Allen Purdue University, USA University of Texas at Austin, USA Organizer: Alexander 8:30-8:55 Homogenization of the Peierls-Nabarro Model for Dislocation Kurganov Dynamics Tulane University, USA Stefania Patrizi, WIAS, Berlin, Germany 8:30-8:55 A Stochastic Galerkin Method for Nonlinear Systems of 9:00-9:25 Poincare Inequalities and Hyperbolic Conservation Laws with Diffusion Along Ergodic Flows Uncertainty Stefan Steinerberger, Yale University, USA Alina Chertock, North Carolina State 9:30-9:55 Some Inverse Problems in University, USA; Alexander Kurganov, Periodic Homogenization of Hamilton- Tulane University, USA; Shi Jin, Jacobi Equations Shanghai Jiao Tong University, China, Hung Tran, University of Chicago, USA and the University of Wisconsin-Madison, 10:00-10:25 Second-Order Gamma- USA Limit for the Cahn-Hilliard Functional 9:00-9:25 Numerical Methods with Applications to Slow Motion of for Quantification of Model-form Phase Boundaries Uncertainty Ryan Murray, Giovanni Leoni, and Matteo Rinaldi, Carnegie Mellon University, USA YanYan He and Dongbin Xiu, University of Utah, USA

continued in next column SIAM Conference on Analysis of Partial Differential Equations 45

Wednesday, December 9 Wednesday, December 9 Wednesday, December 9 MS77 MS78 MS79 Control of Partial Differential Mathematical Analysis of The Mathematics of Optics Equations and Applications Liquid Crystals - Part II of III and Photonics - Part I of II 8:30 AM-10:30 AM 8:30 AM-10:00 AM 8:30 AM-10:30 AM Room:Four Peaks - Upper Level Room:Flagstaff A - Upper Level Room:Flagstaff B - Upper Level The objective of this MS on “Control of For Part 1 see MS44 For Part 2 see MS92 PDE’s and Applications” is to gather four For Part 3 see MS111 Driven by spectacular advances in the design high-level talks by experts of the subject, Liquid crystals are the main entry point capabilities of materials at the nanoscale, giving an overview of some techniques used into the fascinating world of complex there has been recent exponetial growth to control complex processes modeled by materials with complex micro-structural in the fields of plasmonics and nano- partial differential equations: The four talks properties. Yet, despite being the simplest optics. Once exotic phenomena such as are well-balanced between theoretical aspects representative of such materials, and of extraordinary optical transmission, surface- (how to prove that a given PDE is controllable: enormous technological importance, liquid enhanced Raman scattering, and surface for instance, Boussinesq or Euler equation), crystals are not understood at a basic, plasmon resonances are now at the heart qualitative results (such as turnpike properties fundamental level of description. The everyday technologies. As evidenced by a for controlled PDE’s), and concrete motivating proposed minisymposium aims to gather recent NRC report and an upcoming IMA applications (for instance, design of feedback the main contributors to recent advances program, the time is ripe for mathematicians in production models). in the area and to set new directions by to contribute. The goal of this session is to determining the major open problems. bring together world experts in the modeling, Organizer: Emmanuel Trelat rigorous analysis, and numerical simulation Université Pierre et Marie Curie, France Organizer: Valeriy Slastikov of Maxwell’s equations to further advance 8:30-8:55 Feedback Control and University of Bristol, United Kingdom the progress which has already been made. Optimization of Release and Dispatch Organizer: Arghir Zarnescu Policies in Production Models Organizer: David P. Nicholls University of Sussex, United Kingdom Dieter Armbruster, Arizona State University, University of Illinois, Chicago, USA USA 8:30-8:55 Dimension Reduction for 8:30-8:55 Surface Plasmon the Landau-De Gennes Model in 9:00-9:25 On the Control of the Resonance Biosensors: Analysis and Planar Thin Films Improved Boussinesq Equation Numerical Simulation Peter Sternberg, Indiana University, USA Eduardo Cerpa, Universidad Técnica Federico David P. Nicholls, University of Illinois, Santa María, Chile 9:00-9:25 Active Liquid Crystal Chicago, USA Models and Their Applications in 9:30-9:55 A Controllability Result for the 9:00-9:25 Integral Equations for Life Science the Non-Isentropic 1-D Euler Equation Maxwell’s Equations Qi Wang, University of South Carolina, Olivier Glass, Université Paris Dauphine, Catalin Turc, New Jersey Institute of USA and Beijing Computational France Technology, USA Science Research Center, China; Jia 10:00-10:25 Turnpike Property for the Zhao, University of North Carolina 9:30-9:55 Near-field Imaging with Far- Optimal Control of Partial Differential at Chapel Hill, USA; Xiaogang field Data Equations Yang, Beijing Computational Science Peijun Li, Purdue University, USA Can Zhang, Université Paris 6, France Research Center, China 10:00-10:25 Perturbations of 9:30-9:55 Vorticity Driven Dynamics Transmission Eigenvalues Due to in Nematic Liquid Crystals Small Inhomogeneities in the Medium Xiaoyu Zheng, Kent State University, Shari Moskow, Drexel University, USA USA; Peter Palffy-Muhoray, Kent State University, USA 46 SIAM Conference on Analysis of Partial Differential Equations

Wednesday, December 9 Wednesday, December 9 Wednesday, December 9 CP5 Announcements IP6 Modeling 10:55 AM-11:00 AM The Abelian Sandpile and 8:30 AM-10:30 AM Room:Forum - Lower Level Circle Packings Room:San Carlos - Main Level 11:45 AM-12:30 PM Chair: TBD IP5 Room:Forum - Lower Level 8:30-8:45 Modeling Semi-Arid Chair: Govind Menon, Brown University, Deserts Through (in)stabilities of Optimal Shape and USA Localized Structure Location of Sensors or The Abelian sandpile is a simple and Thomas Bellsky, University of Maine, Actuators in PDE Models deterministic diffusion process on graphs, USA 11:00 AM-11:45 AM devised as a model of self-organized 8:50-9:05 Analytical and Numerical criticality by Bak, Tang, and Weisenfeld. Modeling of Ground Heat Room:Forum - Lower Level The scaling limit of the sandpile on a Exchangers Chair: Piermarco Cannarsa, University of periodic graph is a nonlinear elliptic partial Paul Christodoulides, Lazaros Aresti, Rome II, Tor Vergata, Italy differential equation with complicated Georgios Florides, and Vassilios algebraic structure. I will discuss the We consider the problem of optimizing Messaritis, Cyprus University of sandpile, the algebraic structure of its scaling the shape and the location of sensors or Technology, Cyprus limit, and explicit descriptions of the fractals actuators for systems whose evolution it approximates. 9:10-9:25 Modeling Blood Flow and is driven by a linear PDE model. This Mass Transport by a Drug Eluting problem is frequently encountered Charles Smart Stent in 3D in applications where one wants for Elias A. Gudiño and Adélia Sequeira, instance to maximize the quality of the Cornell University, USA University of Lisbon, Portugal reconstruction of solutions by using only 9:30-9:45 An Advection and Age- partial observations. For example, we Structured Approach to Modeling model and solve the following informal Bird Migration and Indirect question: What is the optimal shape and Lunch Break Transmission of Avian Influenza location of a thermometer? We stress Rachel L. Jennings and Rongsong Liu, that we want to optimize not only the 12:30 PM-2:00 PM University of Wyoming, USA; Stephen placement but also the shape of the Attendees on their own Gourley, University of Surrey, United observation domain, over the class of all Kingdom possible measurable subsets of the domain having a prescribed measure. We model 9:50-10:05 Turing Pattern Formation this optimal design problem as the one of in a Host-Parasitoid-Hyper maximizing a functional that we call the Parasitoid System randomized observability constant, which Nitu Kumari, Indian Institute of reflects what happens for random initial Technology Mandi, India data, and which is of a spectral nature. 10:10-10:25 A Stationary Core-Shell Solving this problem is then strongly Assembly in a Ternary Inhibitory dependent on the PDE model under System consideration. For parabolic equations, Chong Wang and Xiaofeng Ren, George we prove the existence and uniqueness Washington University, USA of a best domain, regular enough, and whose algorithmic construction depends in general on a finite number of modes. In contrast, for wave or Schrodinger Coffee Break equations, relaxation may occur, and 10:30 AM-10:55 AM our analysis reveals intimate relations with quantum chaos, more precisely Room:Forum - Lower Level with quantum ergodicity properties of the eigenfunctions. These works are in collaboration with Y. Privat (Paris 6) and E. Zuazua (BCAM Bilbao). Emmanuel Trélat Université Pierre et Marie Curie, France SIAM Conference on Analysis of Partial Differential Equations 47

Wednesday, December 9 Wednesday, December 9 Wednesday, December 9 SP1 MS80 MS81 SIAG/Analysis of Partial Scaling Limits of Particle Numerical Approximation Differential Equations Systems of Spectra and Computer- Prize Lecture 3:00 PM-5:00 PM assisted Proof - Part II of II Slow Modulation and Large-time Room:Forum - Lower Level 3:00 PM-5:00 PM Dynamics Near Periodic Waves The purpose of this minisymposium is Room:Rio Verde - Main Level 2:00 PM-2:45 PM to survey recent progress on problems at For Part 1 see MS68 the interface between partial differential Room: Forum - Lower Level This minisymposium seeks to explore the equations, kinetic theory and probability interfaces between numerical approximation, Chair: To Be Determined theory. The talks in this minisymposium computer-assisted proof, and stability of Partly motivated by applications to surface treat scaling limits of interacting particle travelling waves. For many physically waves over thin film flows we have recently systems and connections between relevant systems, spectral stability or addressed two related questions. (1) For PDE with random data and stochastic instability has only been determined for parabolic systems --- including those parabolic processes that describe both branching and a limited portion of the parameter space in the hypocoercive sense of Kawashima or coagulation. for which waves exist. Recent advances in even some being so only in some averaged Organizer: Govind Menon both numerical approximation algorithms sense --- in which sense can one prove and computer-assisted proof are providing Brown University, USA that spectrally stable periodic traveling (or new approaches to the study of stability of standing) waves are nonlinearly stable ? (2) Organizer: Charles Smart travelling waves. These numerical methods Is it possible to prove that the large-time Massachusetts Institute of Technology, do not provide a paper and pencil proof, dynamics near such waves is asymptotically USA but do provide rigorous verification of driven at leading order by some averaged 3:00-3:25 A Derivation of the Kinetic stability properties. This mini symposium equations formally derived through some Wave Equation seeks to bring together experts from nonlinear WKB process (known as Whitham’s Pierre Germain, New York University, both communities to further accelerate two-timing method)? USA development of this emerging subfield. By answering those equations we put the 3:30-3:55 On Deriving Stochastic Organizer: Kevin Zumbrun mathematical theory of periodic waves of Burgers Equations from a Class of Indiana University, USA parabolic systems on a par with the one for Particle Systems Organizer: Blake Barker asymptotically-constant waves such as fronts, Sunder Sethuraman, University of Brown University, USA shocks, kinks or solitary waves... On the road Arizona, USA we have coined a sharp notion of nonlinear 3:00-3:25 Computational Evans- stability and some corresponding set of null 4:00-4:25 Scalar Conservation Laws Function Techniques for the Spectral conditions, respectively space-modulated with Markov Initial Data Stability of Viscous Detonation Waves orbital stability and phase-decoupling. David Kaspar, Brown University, USA Gregory Lyng, University of Wyoming, USA Joint work with Mathew Johnson, University 4:30-4:55 Coagulation Dynamics in 3:30-3:55 Spectra, Stability and of Kansas, USA, Pascal Noble, University of Branching Processes Numerical Continuation Toulouse, France and Kevin Zumbrun, Indiana Robert Pego, Carnegie Mellon University, Jens Rademacher, University of Bremen, University, USA. USA Germany Miguel Rodrigues 4:00-4:25 Error Estimates for Université de Rennes 1, France Numerical Evans Approximation Kevin Zumbrun, Indiana University, USA 4:30-4:55 Rigorous Verification of Intermission Stability of Traveling Waves Via Computer Assisted Proof 2:45 PM-3:00 PM Blake Barker, Brown University, USA 48 SIAM Conference on Analysis of Partial Differential Equations

Wednesday, December 9 Wednesday, December 9 Wednesday, December 9 MS82 MS83 MS84 Free Boundary Problems Recent Advances Polymer Models Involving Interfaces and/or in Theoretical and 3:00 PM-5:00 PM Elastic Deformations - Numerical Aero- and Room:Palomas - Main Level Part II of II Hydrodynamics? - Complete fluid systems are usually in form 3:00 PM-5:00 PM Part II of III of coupled equations of Navier-Stokes type with nonlinear equations e.g. of transport Room:Sonora - Main Level 3:00 PM-5:00 PM type, (degenerate) parabolic or kinetic type. For Part 1 see MS66 Room:San Carlos - Main Level For various equations being components of The behavior of free surfaces has long been For Part 1 see MS67 the systems there are developed and well of both mathematical and physical interest. For Part 3 see MS98 established the methods and functional This minisymposium will bring together The Navier-Stokes and Euler equations spaces structure. However, coupling these an interdisciplinary group of researchers are the fundamental equations modeling equations together gives rise to completely working on understanding the underlying the behavior of fluids. They have a broad new problems. Flows of polymers, multi- principles governing free boundary problems range of applications in aerodynamics, component mixtures, collective dynamics and cover a variety of applications such as geophysics, meteorology and engineering. to name a few, are such examples. Precise the encapsulation of liquid drops by elastic Despite the fact that the mathematical understanding the interplay between the basic sheets, the dynamics of grain boundary analysis of these equations has a long properties of the fluid, transport phenomena networks, and the modeling of the earth’s and rich history, yet many important and and diffusion is a crucial step in analysis of crust. Common to all these diverse problems interesting problems remain challenging such systems. is the presence strong nonlinearities and and far to be well understood. Our small scale parameters, which leads to a symposium will be an opportunity to Organizer: Piotr Gwiazda unifying challenge of trying to understand see and share, among its participants Warsaw University, Poland and predict the nature of solutions across and attendees, the recent progress in the 3:00-3:25 On Concentrated Polymers multiple scales. theory of incompressible Navier-Stokes Model Organizer: Nicholas D. and Euler equations and related systems. Piotr Gwiazda, Warsaw University, Poland In particular, the focus will be on the two 3:30-3:55 Estimating Fragmentation in Brubaker main axes: Boundary Layer theory and University of Arizona, USA Polymerization Equations well-posedness issues in hydrodynamics. Marie Doumic, INRIA Rocquencourt, France Organizer: John A. Gemmer Organizer: Slim Ibrahim 4:00-4:25 Weak Solutions to Cucker- Brown University, USA University of Victoria, Canada Smale System Piotr Mucha, Warsaw University, Poland 3:00-3:25 Nonlinear Spatio-Temporal Organizer: Makram Instability Regime for Electrically 4:30-4:55 Kinetic Models for Forced Viscous Jets Hamouda the Description of Sedimenting Saulo Orizaga, University of Arizona, USA; Indiana University, USA Suspensions Daniel N. Riahi, University of Illinois at 3:00-3:25 Well-Posedness and Athanasios Tzavaras, King Abdullah Urbana-Champaign, USA Regularity for a Class of Thin-Film University of Science & Technology 3:30-3:55 Shapes of One-Phase Free Free Boundary Problems (KAUST), Saudi Arabia Boundaries in the Plane Manuel V. Gnann, University of Michigan, Nikola Kamburov, University of Arizona, USA USA; David Jerison, Massachusetts 3:30-3:55 Ill-posedness Results for Institute of Technology, USA Transport Equations 4:00-4:25 Minimizers of Anisotropic Tarek M. Elgindi, Princeton University, Surface Tensions under Gravity from a USA Symmetrization Viewpoint 4:00-4:25 Some Recent Progresses Eric Baer, University of Wisconsin, in Boundary Layer Analysis Madison, USA Gung-Min Gie, University of Louisville, 4:30-4:55 Comparison Theorems for a USA Class of Degenerate Elliptic Operators 4:30-4:55 Singular Perturbation Lotfi Hermi, University of Arizona, USA Analysis of the Scattering Problem Youngjoon Hong, University of Ilinois at Chicago, USA SIAM Conference on Analysis of Partial Differential Equations 49

Wednesday, December 9 Wednesday, December 9 Wednesday, December 9 MS85 MS86 MS87 Nonlinear Parabolic PDE Methods for Problems Non-local Equations - Equations and Applications in Materials Science - Part I of II - Part II of IV Part I of II 3:00 PM-5:00 PM 3:00 PM-5:00 PM 3:00 PM-5:00 PM Room:Bouchon - Main Level Room:Coronado - Main Level Room:Center Ballroom - Main Level For Part 2 see MS101 For Part 1 see MS72 For Part 2 see MS100 Motivated by the study of Lévy processes or For Part 3 see MS99 The minisymposium is intended for coming from various applications, so-called Nonlinear parabolic differential equations an audience interested in the analysis, anomalous diffusion appears now in many play an important role in many applications, numerics and modeling of PDE applied models. We can mention for instance including fluid dynamics, phase transitions, to materials science, with an emphasis in dislocation dynamics, hydraulic fractures image processing, materials sciences, and soft matter systems. Research related to and fluid dynamics among many others. The geometry. This session focuses on recent the mathematical description of materials corresponding partial differential equations developments in these areas, with an via energy functionals will be presented involve (singular) integral terms such as the emphasis on well-posedness, qualitative and questions of minimizers structures fractional Laplacian. These equations raise behavior, and numerical analysis of will be addressed. Topics will include new analytical challenges and their study solutions. analysis of defect structures in liquid attracted a lot of attention in recent years. For crystals, numerical approximation of instance, to address regularity issues in the Organizer: Gieri Simonett pattern formation in smectic liquid crystals, case of parabolic/elliptic equations, many new Vanderbilt University, USA dynamics of chevron structures in smectic tools and techniques were introduced in the materials, phase transiiton in nanoparticle- last fifteen years. Organizer: Patrick Guidotti block blends, and existence of solutions Organizer: Cyril Imbert University of California, Irvine, USA to the Chan-Hilliard equation with phase- CNRS and École Normale Supérieure, Paris, dependent diffusion mobility. Organizer: Yuanzhen Shao France Vanderbilt University, USA Organizer: Lia Bronsard 3:00-3:25 On Neumann Type Problems 3:00-3:25 Existence and Stability of McMaster University, Canada for Non-Local Equations Weak Solutions for a Degenerate Emmanuel Chasseigne, Guy Barles, and Parabolic System of Thin Film Type Organizer: Tiziana Giorgi Christine Georgelin, Universite François Joachim Escher, Leibniz University New Mexico State University, USA Rabelais, France; Espen Jakobsen, NTNU, Hannover, Germany 3:00-3:25 Recent Results on the Norway 3:30-3:55 A Free Boundary Problem Analysis of Liquid Crystals 3:30-3:55 Global Well-Posedness of a for MEMS Patricia Bauman, Purdue University, USA Non-local Burgers Equation Christoph Walker, Leibniz University 3:30-3:55 Weak Solutions for the Cyril Imbert, CNRS and École Normale Hannover, Germany Cahn-Hilliard Equation with Phase- Supérieure, Paris, France; Roman 4:00-4:25 On Qualitative Dependent Diffusion Mobility Shvydkoy, University of Illinois, Chicago, Properties of Solutions to Shibin Dai, New Mexico State University, USA; François Vigneron, Université Paris- Microelectromechanical Systems USA; Qiang Du, Pennsylvania State Est, France with General Permittivity University, USA 4:00-4:25 Global Regularity for 2D Christina Lienstromberg, Leibniz 4:00-4:25 Dynamic Analysis of Muskat Problem with Finite Slope University Hannover, Germany Chevron Structures in Liquid Crystal Roman Shvydkoy, University of Illinois, 4:30-4:55 Stability of Cylinders Cells Chicago, USA; Peter Constantin and Vlad in Surface Diffusion Flow under Lidia Mrad and Daniel Phillips, Purdue C. Vicol, Princeton University, USA; General Perturbations University, USA Francisco Gancedo, University of Seville, Spain Jeremy LeCrone, Kansas State University, 4:30-4:55 Sawtooth Profile in Smectic USA A Liquid Crystals 4:30-4:55 A Non-local Porous Medium Sookyung Joo, Old Dominion University, Equation USA Piotr Biler, Uniwersytet Wroclawski, Poland; Cyril Imbert, CNRS and École Normale Supérieure, Paris, France; Grzegorz Karch, University of Wroclaw, Poland 50 SIAM Conference on Analysis of Partial Differential Equations

Wednesday, December 9 Wednesday, December 9 Wednesday, December 9 MS88 MS89 MS90 Vortices: Analysis and Uncertainty Quantification Analysis of Hamilton-Jacobi Simulation - Part I of II for Hyperbolic and Kinetic Equation: Optimization, 3:00 PM-5:00 PM Equations - Part II of II Dynamics and Control - Room:Rattlers - Main Level 3:00 PM-5:00 PM Part I of II For Part 2 see MS102 Room:Chambers Lecture Hall - Main Level 3:00 PM-5:00 PM This minisymposium will cover analysis For Part 1 see MS76 Room:Four Peaks - Upper Level and simulations of vortices in areas ranging Hyperbolic and kinetic equations often For Part 2 see MS93 from continuum to quantum mechanics. It contain uncertain parameters due to inaccurate addresses questions of stability, localization, Hamilton-Jacobi equation and its manifold modeling, measurements, or empirical applications represent an important crossroads mean field limit, and blowup of solutions constitutive relations. A proper quantification to GL, BCE, and the Euler Equations, of many areas of research in pure and applied of these uncertainties is therefore of practical mathematics: PDEs, dynamical systems, as well as numerical methods for vortex importance to obtain reliable predictions to dynamics on the sphere, and the generation optimal transport, control, stochastic analysis, solutions of such equations. Moreover, the etc… The interaction and the combination and separation of vorticity at walls. nonlinear nature of these problems poses The symposium brings together senior of these diverse points of view have revealed great challenges in designing and analyzing extremely fruitful over recent years and have researchers with a range of expertise as well efficient numerical/computational methods. as more junior scientists. led to important advancements in this field. We will report recent progress of uncertainty The aim of this minisymposium is to bring Organizer: Monika Nitsche quantification for hyperbolic, kinetic, and together important experts working on the related problems. University of New Mexico, USA subject from different perspectives, with the goal of informing the participants about the 3:00-3:25 A Mean Field Limit of Bec Organizer: Alina Chertock present state of research, discussing recent Vortices North Carolina State University, USA developments and proposing new lines of Daniel Spirn, University of Minnesota, USA Organizer: Jingwei Hu investigation and collaborations. 3:30-3:55 Blow-Up Criteria for the 3D Purdue University, USA Incompressible Euler Equations Based Organizer: Alfonso Sorrentino on the Voigt Regularization Organizer: Alexander Kurganov University of Rome II, Tor Vergata, Italy Adam Larios, University of Nebraska, Tulane University, USA Lincoln, USA Organizer: Piermarco Cannarsa 3:00-3:25 A Stochastic Galerkin University of Rome II, Tor Vergata, Italy 4:00-4:25 Vorticity Dynamics Method for the Boltzmann Equation 3:00-3:25 Homogenization of in Rotating Flow: Geophysical with Uncertainty Efficient in the Fluid Equivariant Hamilton-Jacobi Equations Applications Regime Alfonso Sorrentino, University of Rome II, Peter A. Bosler, Sandia National Jingwei Hu, Purdue University, USA; Shi Jin, Tor Vergata, Italy Laboratories, USA Shanghai Jiao Tong University, China, and 4:30-4:55 Deflection of Vortex Dipoles the University of Wisconsin-Madison, USA 3:30-3:55 Regularity of Solutions of Hamilton Jacobi Equation on a by a Flat Plate, With and Without 3:30-3:55 Advances in the Modeling of Domain Viscosity UQ for Kinetic and Scalar Equations Albert Fathi, Ecole Normale Superieure de Monika Nitsche, University of New Mexico, Bruno Despres, University of Paris VI, Lyon, France USA France; Benoit Perthame, Université Pierre et Marie Curie - Paris VI, France 4:00-4:25 Regularity of Weak Kam Solutions 4:00-4:25 Analysis and Approximation Ludovic Rifford, Université de Nice, Sophia of Parametric Hyperbolic Pde Antipolis, France Peter Jantsch, University of Tennessee, USA; Clayton G. Webster, Oak Ridge National 4:30-4:55 Weak Kam Theory on the Laboratory, USA Infinite Symmetric Product of the Torus Wilfrid Gangbo, Georgia Institute of 4:30-4:55 A Path-based Method for Technology, USA Simulating Large Deviations and Rare Events in Stochastic Nonlinear Schroedinger Equations Jinglai Li, Shanghai Jiao Tong University, China SIAM Conference on Analysis of Partial Differential Equations 51

Wednesday, December 9 Wednesday, December 9 Wednesday, December 9 MS91 MS92 CP6 Minisymposium The Mathematics of Optics 3:00 PM-5:00 PM and Photonics - Part II of II 3:00 PM-5:20 PM Room:Flagstaff A - Upper Level 3:00 PM-3:30 PM Room:Sedona - Main Level Chair: Taige Wang, Virginia Tech, USA Organizer: Luis Vega Room:Flagstaff B - Upper Level Basque Center for Applied Mathematics, For Part 1 see MS79 Spain Driven by spectacular advances in the 3:00-3:15 Unified Method to Solve the design capabilities of materials at the Heat Equation 3:00-3:25 On the Leapfrogging nanoscale, there has been recent exponetial Phenomena in Fluid Mechanics Byoungseon Choi, Seoul National University, growth in the fields of plasmonics and nano- Didier Smets, Université Pierre et Marie Korea; DAUN Jeong, Samsung Advanced optics. Once exotic phenomena such as Curie, France Institute of Technology, Korea; M.Y. Choi, extraordinary optical transmission, surface- Seoul National University, Korea 3:30-3:55 Vortex Filaments in the Euler enhanced Raman scattering, and surface 3:20-3:35 Lattice Model of a Fracture Equation plasmon resonances are now at the heart in a Composite Infinite Strip Robert Jerrard, University of Toronto, everyday technologies. As evidenced by a Aleksandr Smirnov, Louisiana State Canada recent NRC report and an upcoming IMA University, USA 4:00-4:25 The Evolution of the Vortex program, the time is ripe for mathematicians Filament Equation for a Regular to contribute. The goal of this session 3:40-3:55 Self-focusing of Polygon is to bring together world experts in the Co-propagating Optical Beams Francisco de la Hoz, University of the modeling, rigorous analysis, and numerical Alexey Sukhinin, Southern Methodist Basque Country, Spain simulation of Maxwell’s equations to further University, USA advance the progress which has already 4:00-4:15 Linearized Problem for 4:30-4:55 Nearly Parallel Vortex been made. Filaments in the Ginzburg-Landau Viscous Free Surface Flow Equations Organizer: David P. Nicholls Kyoko Tomoeda and Yoshiaki Teramoto, Andres A. Contreras, New Mexico State University of Illinois, Chicago, USA Setsunan University, Japan University, USA 3:00-3:25 Field Enhancement in 4:20-4:35 Investigation and Numerical Nanogaps Solution of the Difference Analogue of Junshan Lin, Auburn University, USA One Nonlinear Parabolic Equation Mikheil Tutberidze, Ilia State University, Georgia 4:40-4:55 Dimension Reduction, Stochastic Parametrization and Data Assimilation for Transport in the Ocean Shankar C. Venkataramani, University of Arizona, USA; Clint Dawson, University of Texas at Austin, USA; Juan M. Restrepo, Oregon State University, USA; William Rosenthal, Pacific Northwest National Laboratory, USA 5:00-5:15 Development of Shear Banding of PEC Model in Poiseuille Flow Taige Wang and Michael Renardy, Virginia Tech, USA

Coffee Break 5:00 PM-5:15 PM Room:Forum - Lower Level 52 SIAM Conference on Analysis of Partial Differential Equations

Wednesday, December 9 Thursday, Thursday, December 10 MT2 December 10 MS93 Simulating Stochastic Analysis of Hamilton-Jacobi Systems Equation: Optimization, 5:15 PM-7:15 PM Registration Dynamics and Control - Part II of II Room:Forum - Lower Level 8:00 AM-3:00 PM 8:30 AM-10:30 AM Organizer: Jonathan Weare Room:Grand Ballroom Foyer - Main Level Room:Forum - Lower Level University of Chicago, USA For Part 1 see MS90 This minitutorial will introduce the Hamilton-Jacobi equation and its manifold simulation of stochastic processes for a applications represent an important crossroads variety of important tasks in the physical of many areas of research in pure and applied and biological sciences. Mathematically mathematics: PDEs, dynamical systems, these tasks can be characterized as the optimal transport, control, stochastic analysis, estimation of very high dimensional etc… The interaction and the combination integrals and the only practical approaches of these diverse points of view have revealed to solving them involve random sampling. extremely fruitful over recent years and have We will focus on the computer simulation of led to important advancements in this field. diffusion processes. Special attention will be The aim of this minisymposium is to bring paid to important complicating factors such together important experts working on the as conditioning and rare events. subject from different perspectives, with the Speaker goal of informing the participants about the Jonathan Weare, University of Chicago, present state of research, discussing recent USA developments and proposing new lines of investigation and collaborations. Organizer: Alfonso Sorrentino University of Rome II, Tor Vergata, Italy Organizer: Piermarco Cannarsa University of Rome II, Tor Vergata, Italy 8:30-8:55 Compactness Estimates for Hamilton-Jacobi Equations Piermarco Cannarsa, University of Rome II, Tor Vergata, Italy 9:00-9:25 Stochastic Homogenization of Non Convex Hamilton-Jacobi Equations Pierre Cardaliaguet, Université Paris Dauphine, France 9:30-9:55 On the Global Behavior of Generalized Characteristics of Hamilton-Jacobi Equations Wei Cheng, Nanjing University, China 10:00-10:25 An Abstract K.A.M. Theorem with Applications to Pdes Michela Procesi, Università di Roma “La Sapienza”, Italy SIAM Conference on Analysis of Partial Differential Equations 53

Thursday, December 10 Thursday, December 10 Thursday, December 10 MS94 MS95 MS96 Advances in Numerical Recent Developments in Data Assimilation for PDE Methods for PDEs with the Analysis of the Navier- Models - Part I of II Applications - Part I of II Stokes, Euler, and Related 8:30 AM-10:30 AM 8:30 AM-10:30 AM Models: Part II of III Room:San Carlos - Main Level Room:Rio Verde - Main Level 8:30 AM-10:30 AM For Part 2 see MS109 One may aim to update the state and/or For Part 2 see MS107 Room:Sonora - Main Level parameters of a PDE model in the presence This minisymposium is focused on For Part 1 see MS73 of observations. For time-dependent problems numerical methods for solving PDEs For Part 3 see MS108 in which the observations arrive sequentially, using finite element methods, boundary The emphasis will be on the analysis of the and the update needs to be done online, this element methods and fast solvers. These Navier-Stokes equation, Euler equation, and is referred to as Data Assimilation. The Data techniques are widely applicable due to related models, describing for instance the Assimilation problem enjoys a rich interplay their conformation with geometry and interaction with solid bodies immersed in between Control Theory and Probability allows us to work with minimal regularity the fluid, the effect of having a magnetized and for PDE models it is quite challenging. assumptions. Part of the focus will be on fluid, or the influence of boundaries. These Furthermore, the field is still relatively young PDE constrained optimization problems. equations are used to model various physical with much potential for contributions. This The field of PDE constrained optimization phenomena ranging from the theory of minisymposium will bring together experts in requires expertise in PDEs, continuous and turbulence to oceanography. Besides the both theoretical and computational aspects of discrete optimization, linear and non-linear fundamental questions of existence and Data Assimilation for PDE models. functional analysis, numerical analysis, and uniqueness of solutions, the talks in this scientific computing. Several applications session will address central qualitative Organizer: Kody Law ranging from acoustic and elastic wave properties of equations, such as regularity, Oak Ridge National Laboratory, USA propagation, to free boundary problems will (in)stability, long time dynamics, analysis be discussed. of special solutions (self-similar, axis- Organizer: Fabio Nobile Organizer: Harbir Antil symmetric), the behavior in singular limit EPFL, Switzerland George Mason University, USA regimes (the inviscid limit of the Navier- 8:30-8:55 Bayesian Filtering as Stokes equation). Transportation Organizer: Lise-Marie Imbert- Organizer: Igor Kukavica Alessio Spantini, Tarek Moselhy, and Youssef Gerard University of Southern California, USA M. Marzouk, Massachusetts Institute of Courant Institute of Mathematical Sciences, Technology, USA New York University, USA Organizer: Christophe Lacave 9:00-9:25 Accuracy of Suboptimal 8:30-8:55 Direct Scattering by a Universite Paris 7-Denis Diderot, Bayesian Filters in the Presence of Penetrable Media France Model Error Lise-Marie Imbert-Gerard, Sivaram Michal Branicki, University of Edinburgh, Ambikasaran, and Carlos C. Borges, Organizer: Vlad C. Vicol United Kingdom; K Law, King Abdullah Princeton University, USA Courant Institute of Mathematical University of Science & Technology Sciences, New York University, USA; 8:30-8:55 Striated Regularity of (KAUST), Saudi Arabia; A Majda, Courant Leslie Greengard, Simons Foundation Velocity for the Euler Equations Institute of Mathematical Sciences, New and Courant Institute of Mathematical James P. Kelliher, University of California, York University, USA; A. Stuart, University Sciences, New York University, USA Riverside, USA; Hantaek Bae, Ulsan of Warwick, United Kingdom National Institute of Science and 9:00-9:25 Sub-Linear Solver for 9:30-9:55 Stratification of Markov Technology, South Korea the 2D High-Frequency Helmholtz Processes for Rare Event Simulation Equation 9:00-9:25 How to Control Flutter Arising Jonathan Weare, University of Chicago, USA in Flow Structure Interactions Leonardo Zepeda-Núñez and Laurent 10:00-10:25 Continuous Data Irena M. Lasiecka, University of Memphis, Demanet, Massachusetts Institute of Assimilation for Modified 3D Navier- USA Technology, USA Stokes Equations 9:30-9:55 Numerical Methods for 9:30-9:55 Weak Vorticity Formulation, Saber Trabelsi, King Abdullah University of Time Domain Two-dimensional Circulation, Net force and Torque Science & Technology (KAUST), Saudi Wave-structure Interaction Dragos Iftimie, Universite de Lyon 1, France; Arabia Tonatiuh Sanchez-Vizuet and Francisco J. J. Milton Lopes Filho, Federal University Sayas, University of Delaware, USA of Rio de Janerio, Brazil; Helena J. Nussenzveig Lopes, Universidade Federal 10:00-10:25 Droplet Footprint Control do Rio De Janeiro, Brazil; Franck Sueur, Shawn W. Walker, Louisiana State Université Pierre et Marie Curie, France University, USA 10:00-10:25 Optimal Mixing Rates Anna L. Mazzucato, Pennsylvania State University, USA 54 SIAM Conference on Analysis of Partial Differential Equations

Thursday, December 10 Thursday, December 10 Thursday, December 10 MS97 MS98 MS99 Around Euler Equations - Recent Advances in Nonlinear Parabolic Part I of II Theoretical and Numerical Equations and Applications - 8:30 AM-10:30 AM Aero- and Hydrodynamics? Part III of IV - Part III of III Room:Sedona - Main Level 8:30 AM-10:30 AM For Part 2 see MS110 8:30 AM-10:00 AM Room:Coronado - Main Level The Euler equations, which govern Room:Palomas - Main Level For Part 2 see MS85 inviscid flow, form a system of hyperbolic For Part 4 see MS112 For Part 2 see MS83 conservation laws. It is known that their Nonlinear parabolic differential equations The Navier-Stokes and Euler equations are solutions are not smooth even for regular play an important role in many applications, the fundamental equations modeling the initial data. For that reason the concept of including fluid dynamics, phase transitions, behavior of fluids. They have a broad range weak solutions has become a successful tool image processing, materials sciences, and of applications in aerodynamics, geophysics, in the modern studies in hydrodynamics. geometry. This session focuses on recent meteorology and engineering. Despite the The last years brought a significant progress developments in these areas, with an emphasis fact that the mathematical analysis of these in the studies on Euler equations. We will on well-posedness, qualitative behavior, and equations has a long and rich history, yet concentrate on the recent advances on Euler numerical analysis of solutions. many important and interesting problems and similar systems including the results remain challenging and far to be well using the method of convex integration, Organizer: Patrick Guidotti understood. Our symposium will be an methods of optimal transport theory, et al. University of California, Irvine, USA opportunity to see and share, among its Organizer: Agnieszka participants and attendees, the recent progress Organizer: Yuanzhen Shao Swierczewska-Gwiazda in the theory of incompressible Navier-Stokes Vanderbilt University, USA and Euler equations and related systems. University of Warsaw, Poland In particular, the focus will be on the two Organizer: Gieri Simonett 8:30-8:55 Recent Advances main axes: Boundary Layer theory and well- Vanderbilt University, USA Concerning the Three-dimensional posedness issues in hydrodynamics. 8:30-8:55 Some Degenerate Parabolic Primitive Equations of Atmospheric Equations Inspired by Image and Oceanic Dynamics Organizer: Slim Ibrahim Processing Chongsheng Cao, Florida International University of Victoria, Canada Patrick Guidotti, University of California, University, USA; Jinkai Li, Weizmann Irvine, USA Institute of Science, Israel; Edriss S. Organizer: Makram Hamouda Titi, Texas A&M University, USA and Indiana University, USA 9:00-9:25 High-Order Time Weizmann Institute of Science, Israel 8:30-8:55 Long Time Stability of Stepping for Nonlinear PDE Through the Implicit Euler Scheme for An Componentwise Approximation of 9:00-9:25 A Variational Time Matrix Functions Discretization for the Compressible Incompressible Two-Phase Flow Model James V. Lambers, University of Southern Euler Equations Mississippi, USA Michael Westdickenberg, RWTH Aachen Florentina Tone, University of West Florida, University, Germany USA; Theodore Tachim Medjo, Florida 9:30-9:55 Traveling Wave Solutions for International University, USA Some Reaction Diffusion Equations 9:30-9:55 Surprising Solutions to the with Fractional Laplacians Isentropic System of Gas Dynamics 9:00-9:25 Global Well Posedness For A Two-Fluid Model Changfeng Gui, University of Connecticut, Elisabetta Chiodarolli, École Polytechnique USA Fédérale de Lausanne, Switzerland Shengyi Shen and Slim Ibrahim, University of Victoria, Canada; Yoshikazu Giga, 10:00-10:25 Finite-Time Blow Up 10:00-10:25 Uniqueness University of Tokyo, Japan; Tsuyoshi and Long-Wave Unstable Thin-Film of Rarefaction Waves in Yoneda, University of Victoria, Canada Equations Multidimensional Compressible Euler 9:30-9:55 Global Existence Results for Marina Chugunova, Claremont Graduate Systems University, USA Ondrej Kreml, Mathematical Institute ASCR, the Stable Muskat Equation Prague, Czech Republic Omar Lazar and Diego Córdoba, Consejo Superior Investigaciones Cientificas, Spain SIAM Conference on Analysis of Partial Differential Equations 55

Thursday, December 10 Thursday, December 10 Thursday, December 10 MS100 MS101 MS102 PDE Methods for Problems Non-local Equations - Part II Vortices: Analysis and in Materials Science - of II Simulation - Part II of II Part II of II 8:30 AM-10:30 AM 8:30 AM-10:30 AM 8:30 AM-10:30 AM Room:Bouchon - Main Level Room:Rattlers - Main Level Room:Center Ballroom - Main Level For Part 1 see MS87 For Part 1 see MS88 Motivated by the study of Lévy processes or This minisymposium will cover analysis For Part 1 see MS86 coming from various applications, so-called and simulations of vortices in areas ranging The minisymposium is intended for an anomalous diffusion appears now in many from continuum to quantum mechanics. It audience interested in the analysis, numerics models. We can mention for instance addresses questions of stability, localization, and modeling of PDE applied to materials dislocation dynamics, hydraulic fractures mean field limit, and blowup of solutions to science, with an emphasis in soft matter and fluid dynamics among many others. The GL, BCE, and the Euler Equations, as well systems. Research related to the mathematical corresponding partial differential equations as numerical methods for vortex dynamics on description of materials via energy functionals involve (singular) integral terms such as the the sphere, and the generation and separation will be presented and questions of minimizers fractional Laplacian. These equations raise of vorticity at walls. The symposium brings structures will be addressed. Topics will new analytical challenges and their study together senior researchers with a range of include analysis of defect structures in attracted a lot of attention in recent years. expertise as well as more junior scientists. liquid crystals, numerical approximation of For instance, to address regularity issues in pattern formation in smectic liquid crystals, the case of parabolic/elliptic equations, many Organizer: Monika Nitsche dynamics of chevron structures in smectic new tools and techniques were introduced in University of New Mexico, USA materials, phase transiiton in nanoparticle- the last fifteen years. block blends, and existence of solutions to the 8:30-8:55 Hovering in Oscillatory Flows Chan-Hilliard equation with phase-dependent Eva Kanso, University of Southern California, Organizer: Cyril Imbert USA diffusion mobility. CNRS and École Normale Supérieure, Paris, France 9:00-9:25 Data-driven Vortex Modeling Organizer: Lia Bronsard of Separated Flows McMaster University, Canada 8:30-8:55 Crystal Dislocations with Jeff D. Eldredge, University of California, Different Orientation and Collisions Los Angeles, USA Organizer: Tiziana Giorgi Stefania Patrizi, WIAS, Berlin, Germany New Mexico State University, USA 9:30-9:55 Vortex Shedding from 9:00-9:25 A Family of Higher Order Smooth Two-Dimensional Objects 8:30-8:55 Wetting-Driven Phase Parabolic Non-Local Equations Using Boundary Layers Transition in a Nanoparticle-Block Rana Tarhini, Université Paris-Est, France Shreyas Mandre, Xinjun Guo, and Copolymer Blend 9:30-9:55 Propagation in Some Ponnulakshmi Kartheeswaran, Brown Stan Alama, Lia Bronsard, and Ihsan A. Nonlocal Population Dynamics University, USA Topaloglu, McMaster University, Canada Models 10:00-10:25 Numerical Study of 9:00-9:25 Minimizers of the Landau-De Matthieu Alfaro, Université Montpellier II, Hierarchical Vorticity Separations of Gennes Energy Around a Spherical France Viscous Flow Past Wedges Colloid Particle 10:00-10:25 On a Fractional Thin Film Ling Xu, University of Michigan, USA Stan Alama, McMaster University, Canada Equation for Hydraulic Fractures 9:30-9:55 The Landau-De Gennes Antoine Mellet, University of Maryland, USA Model for Nematic Liquid Crystalline Films Dmitry Golovaty, University of Akron, USA; Alberto Montero, Pontificia Universidad Católica de Chile, Chile; Peter Sternberg, Indiana University, USA 10:00-10:25 Properties of Minimizers for the Maier-Saupe Energy Daniel Phillips, Purdue University, USA 56 SIAM Conference on Analysis of Partial Differential Equations

Thursday, December 10 Thursday, December 10 Thursday, December 10 MS103 MS104 MS105 Numerical Approximation Nonlinear Waves and Structure Preserving of Boundary Value Problems Patterns - Part I of II Numerical Methods for Involving Fractional 8:30 AM-10:30 AM Kinetic and Wave Equations Differential Operators Room:Flagstaff A - Upper Level - Part I of II 8:30 AM-10:30 AM For Part 2 see MS113 8:30 AM-10:30 AM Room:Chambers Lecture Hall - Main Level This minisymposium presents new advances Room:Flagstaff B - Upper Level in the theory of nonlinear waves and patterns Boundary value problems involving non- for a wide range of model equations. The For Part 2 see MS114 local operators arise from modeling a speakers will discuss both Hamiltonian and Speakers will address topics of current number of physical processes including dissipative systems, posed on discrete and interest in the broad area of numerical porous media flow, Levy diffusion processes, continuous spatial domains. analysis for kinetic and wave equations. geostropic models. In this symposium, we There will be particular emphasis on structure consider the stability and approximation of Organizer: Hermen Jan Hupkes preserving, such as energy preserving, boundary value problems involving fractional University of Leiden, The Netherlands entropy satisfying, bound preserving, differential operators. asymptotic preserving, numerical methods. Organizer: Martina Chirilus- The topics will span a range from theoretical Organizer: Joseph Pasciak Bruckner results to novel algorithms, and will include Texas A&M University, USA University of Leiden, The Netherlands talks focused on a variety of interesting application areas. 8:30-8:55 Approximation of Fractional 8:30-8:55 Appropriate Discretization Powers of Accretive Operators. Schemes for Travelling Waves in Joseph Pasciak and Andrea Bonito, Texas Organizer: Hailiang Liu Bistable Reaction-Diffusion Problems Iowa State University, USA A&M University, USA Hermen Jan Hupkes, University of Leiden, 9:00-9:25 A Petrov-Galerkin Finite The Netherlands; Erik Van Vleck, Organizer: Yulong Xing Element Method for Fractional University of Kansas, USA Oak Ridge National Laboratory, USA Convection-Diffusion Equations 9:00-9:25 Waves Traveling Through Organizer: Hui Yu Bangti Jin, University College London, Obstacles in Lattice Differential RWTH Aachen University, Germany United Kingdom; Zhi Zhou, Columbia Equations University, USA Aaron Hoffman, Franklin W. Olin College of 8:30-8:55 Entropy Satisfying Methods 9:30-9:55 A PDE Approach to Engineering, USA; Hermen Jan Hupkes, for Competition Dynamics Fractional Diffusion University of Leiden, The Netherlands Hailiang Liu, Iowa State University, USA Abner J. Salgado, University of Tennessee, 9:30-9:55 Nonlinear Schrodinger 9:00-9:25 Entropy Satisfying Methods USA Equation on Quantum Graphs for Fokker-Planck Equations 10:00-10:25 On the Wellposedness of Dmitry Pelinovsky, McMaster University, Hui Yu, RWTH Aachen University, Germany; Boundary-Value Problems of Fdes Canada Hailiang Liu, Iowa State University, USA Hong Wang, University of South Carolina, 10:00-10:25 Agent-Based and 9:30-9:55 Asymptotic Preserving USA Continuum Models for Stripe Methods for Kinetic Chemotaxis Formation in Zebrafish Systems Alexandria Volkening and Bjorn Sandstede, Alexander Kurganov, Tulane University, USA Brown University, USA 10:00-10:25 Positivity-preservation in a Class of Locally-implicit Discontinuous Galerkin Schemes James A. Rossmanith and Pierson Guthrey, Iowa State University, USA SIAM Conference on Analysis of Partial Differential Equations 57

Thursday, December 10 Thursday, December 10 Thursday, December 10 CP7 IP7 IP8 Scientific Computing in the Customising Image Analysis 8:30 AM-10:30 AM Movies and Virtual Surgery Using Nonlinear Partial Room:Four Peaks - Upper Level 11:00 AM-11:45 AM Differential Equations Chair: To Be Determined Room:Forum - Lower Level 11:45 AM-12:30 PM 8:30-8:45 Optimal Design of Energy Chair: Fabio Nobile, EPFL, Switzerland Room:Forum - Lower Level Conversion Devices New applications of scientific computing Chair: To Be Determined Lincoln Collins and Kaushik Bhattacharya, for solid and fluid mechanics problems California Institute of Technology, USA When assigned with the task of extracting include simulation of virtual materials for information from given image data the first 8:50-9:05 On the Existence of movie special effects and virtual surgery. challenge one faces is the derivation of a Maximizers for Airy-Strichartz Both disciplines demand physically realistic truthful model for both the information and Inequalities dynamics for such materials as water, the data. Such a model can be determined Luiz G. Farah, Universidade Federal de smoke, fire, and brittle and elastic objects. by the a-priori knowledge about the image Minas Gerais, Brazil These demands are different than those (information), the data and their relation to 9:10-9:25 Stability and Bifurcation of a traditionally encountered and new algorithms each other. The source of this knowledge is Flexible Loop Spanned by a Fluid Film are required. Teran’s talk will address the either our understanding of the type of images Eliot Fried, Okinawa Institute of Science and simulation techniques needed in these fields we want to reconstruct and of the physics Technology, Japan and some recent results including: simulated behind the acquisition of the data or we can surgical repair of biomechanical soft tissues, thrive to learn parametric models from the data 9:30-9:45 Positive Solution for a Class extreme deformation of elastic objects with of Coupled (p,q)-Laplacian Nonlinear itself. The common question arises: how can contact, high resolution incompressible flow, we customise our model choice to a particular Systems clothing and hair dynamics. Also included Eder M. Martins and Wenderson Ferreira, application? Or better how can we make our is discussion of a new algorithm used for model adaptive to the given data? Universidade Federal de Ouro Preto, simulating the dynamics of snow in Disney’s Brazil animated feature film, “Frozen”. Starting from the first modelling strategy this 9:50-10:05 Uniqueness of Viscosity talk will lead us from nonlinear diffusion Solutions for a Class of Integro- Joseph Teran equations and subdifferential inclusions of Differential Equations University of California, Los Angeles, USA total variation type functionals as the most Chenchen Mou and Andrzej J. Swiech, successful image model today to non-smooth Georgia Institute of Technology, USA second- and third-order variational models, with data models for Gaussian and Poisson 10:10-10:25 The Fourth-Order distributed data as well as impulse noise. These Dispersive Nonlinear Schödinger models exhibit solution-dependent adaptivities Equation: Orbital Stability of a in form of nonlinearities or non-smooth Standing Wave terms in the PDE or the variational problem, Fabio Natali, State University of Maringa, respectively. Applications for image denoising, Brazil; Ademir Pastor, State University of inpainting and surface reconstruction are Campinas, Brazil given. After a critical discussion of these different image and data models we will turn towards the second modelling strategy and propose to combine it with the first one using Coffee Break a PDE constrained optimisation method that 10:30 AM-10:55 AM customises a parametrised form of the model by learning from examples. In particular, we Room:Forum - Lower Level will consider optimal parameter derivation for total variation denoising with multiple noise distributions and optimising total generalised Closing Remarks variation regularisation for its application in photography. 10:55 AM-11:00 AM Room:Forum - Lower Level Carola-Bibiane Schönlieb University of Cambridge, United Kingdom

Lunch Break 12:30 PM-2:30 PM Attendees on their own 58 SIAM Conference on Analysis of Partial Differential Equations

Thursday, December 10 Thursday, December 10 Thursday, December 10 MS106 MS107 MS108 Complex Analysis and PDEs Advances in Numerical Recent Developments in the 2:30 PM-4:30 PM Methods for PDEs with Analysis of the Navier-Stokes, Applications - Part II of II Room:Forum - Lower Level Euler, and Related Models: This is a period of burgeoning activity 2:30 PM-4:30 PM Part III of III in many aspects of complex analysis Room:Rio Verde - Main Level 2:30 PM-4:30 PM including (1) Riemann-Hilbert problems and For Part 1 see MS94 applications to random matrix theory and Room:Sonora - Main Level This mini-symposium is focused on nonlinear wave equations; (2) Singularity For Part 2 see MS95 numerical methods for solving PDEs analysis of complexified real equations; (3) The emphasis will be on the analysis of the using finite element methods, boundary Conformal mappings for multiply-connected Navier-Stokes equation, Euler equation, and element methods and fast solvers. These domains and Riemann surfaces; (4) Interface related models, describing for instance the techniques are widely applicable due to their motion in two dimensions and connections interaction with solid bodies immersed in the conformation with geometry and allows us to to integrable systems; and (5) Developments fluid, the effect of having a magnetized fluid, work with minimal regularity assumptions. in numerical conformal mapping techniques. or the influence of boundaries. These equations Part of the focus will be on PDE constrained This minisymposium will feature the are used to model various physical phenomena optimization problems. The field of PDE interplay between, and applications of, many ranging from the theory of turbulence to constrained optimization requires expertise in of these recent developments to PDE/free oceanography. Besides the fundamental PDEs, continuous and discrete optimization, boundary problems. questions of existence and uniqueness of linear and non-linear functional analysis, solutions, the talks in this session will address numerical analysis, and scientific computing. Organizer: Shankar C. central qualitative properties of equations, such Several applications ranging from acoustic Venkataramani as regularity, (in)stability, long time dynamics, and elastic wave propagation, to free University of Arizona, USA analysis of special solutions (self-similar, boundary problems will be discussed. axis-symmetric), the behavior in singular limit 2:30-2:55 Multi-Scale Conformal Maps for Singular Interfaces in Free Organizer: Harbir Antil regimes (the inviscid limit of the Navier-Stokes Boundary Problems George Mason University, USA equation). Shankar C. Venkataramani, University of Organizer: Lise-Marie Imbert- Organizer: Igor Kukavica Arizona, USA; Stuart Kent, Detroit Labs, University of Southern California, USA USA Gerard Courant Institute of Mathematical Sciences, 3:00-3:25 Conformal Mapping Organizer: Christophe Lacave New York University, USA Technique for a Supercavitating Flow Universite Paris 7-Denis Diderot, Around a Wedge Or a Hydrofoil 2:30-2:55 A Fractional Space-time France Anna Zemlyanova, Kansas State University, Optimal Control Problem: Analysis USA and Discretization Organizer: Vlad C. Vicol Harbir Antil, George Mason University, Princeton University, USA 3:30-3:55 Weak Solutions for USA; Enrique Otarola, University of 2:30-2:55 A New Analytic Approach to Integrable Free-Boundary Dynamics Maryland and George Mason University, Wave Turbulence in Two Dimensions USA; Abner J. Salgado, University of Tristan Buckmaster, Courant Institute Razvan Teodorescu, University of South Tennessee, Knoxville, USA of Mathematical Sciences, New York Florida, Tampa, USA 3:00-3:25 The State of the Art in University, USA 4:00-4:25 Burgers Equation in the Polytopal Finite Element Methods Complex Plane and Random Matrix 3:00-3:25 Normal Form Transformations Andrew Gillette, University of Texas at Theory for Capillary-Gravity Water Waves Austin, USA Govind Menon, Brown University, USA Catherine Sulem, University of Toronto, 3:30-3:55 C0 DG Methods for Elliptic Canada Problems in Non-divergence Form 3:30-3:55 Well/Ill-Posedness for Michael J. Neilan, University of Pittsburgh, Transport Equations USA Tarek M. Elgindi, Princeton University, USA 4:00-4:25 Finite Element 4:00-4:25 Persistence of Regularity for Approximation of the Isaacs Equation Solutions of the Boussinesq Equations in Abner J. Salgado, University of Tennessee, Sobolev Spaces USA; Wujun Zhang, University of Fei Wang, University of Southern California, Maryland, USA USA SIAM Conference on Analysis of Partial Differential Equations 59

Thursday, December 10 Thursday, December 10 Thursday, December 10 MS109 MS110 MS111 Data Assimilation for PDE Around Euler Equations - Mathematical Analysis of Models - Part II of II Part II of II Liquid Crystals - Part III of III 2:30 PM-4:30 PM 2:30 PM-4:30 PM 2:30 PM-4:30 PM Room:San Carlos - Main Level Room:Sedona - Main Level Room:Palomas - Main Level For Part 1 see MS96 For Part 1 see MS97 For Part 2 see MS78 One may aim to update the state and/ The Euler equations, which govern Liquid crystals are the main entry point into or parameters of a PDE model in the inviscid flow, form a system of hyperbolic the fascinating world of complex materials presence of observations. For time- conservation laws. It is known that their with complex microstructural properties. Yet, dependent problems in which the solutions are not smooth even for regular despite being the simplest representative of observations arrive sequentially, and the initial data. For that reason the concept of such materials, and of enormous technological update needs to be done online, this is weak solutions has become a successful tool importance, liquid crystals are not understood referred to as Data Assimilation. The in the modern studies in hydrodynamics. at a basic, fundamental level of description. Data Assimilation problem enjoys a rich The last years brought a significant progress The proposed minisymposium aims to gather interplay between Control Theory and in the studies on Euler equations. We will the main contributors to recent advances in the Probability and for PDE models it is quite concentrate on the recent advances on Euler area and to set new directions by determining challenging. Furthermore, the field is still and similar systems including the results the major open problems. relatively young with much potential for using the method of convex integration, contributions. This minisymposium will methods of optimal transport theory, et al. Organizer: Valeriy Slastikov University of Bristol, United Kingdom bring together experts in both theoretical Organizer: Agnieszka and computational aspects of Data Assimilation for PDE models. Swierczewska-Gwiazda Organizer: Arghir Zarnescu University of Warsaw, Poland University of Sussex, United Kingdom Organizer: Kody Law 2:30-2:55 Weak-Strong Uniqueness for 2:30-2:55 Modeling the Motion Oak Ridge National Laboratory, USA Inviscid Flows and Locomotion of Liquid Crystal Elastomers Organizer: Fabio Nobile Emil Wiedemann, University of Bonn, Germany Peter Palffy-Muhoray, Fred Minkowski, EPFL, Switzerland Mykhailo Pevnyi, and Xiaoyu Zheng, Kent 2:30-2:55 Sequential Data 3:00-3:25 Conservative Weak State University, USA Solutions of the 2D Euler Equations Assimilation for Urban Crime Model 3:00-3:25 Features of Minimizers to Naratip Santitissadeekorn, University of Milton Lopes Filho, Universidade Federal do Rio De Janeiro, Brazil Liquid Crystals Energies Surrey, United Kingdom Daniel Phillips, Purdue University, USA 3:00-3:25 Continuous Data 3:30-3:55 Entropy Stable Methods for Numerical Solutions of the 3:30-3:55 On the Classical and Assimilation with Stochastically Statistical Dynamics of Hard, Non- Noisy Data Multidimensional Euler and Ideal Magnetohydrodynamics Equations Spherical Particle Systems Hakima Bessaih, University of Wyoming, Mark Wilkinson, Courant Institute of USA; Eric Olson, University of Nevada, Christian Klingenberg, Wurzburg University, Germany Mathematical Sciences, New York Reno, USA; Edriss S. Titi, Texas A&M University, USA University, USA and Weizmann Institute 4:00-4:25 The Cauchy Problem for the of Science, Israel Pressureless Euler/ Isentropic Navier- 4:00-4:25 Aggregation Models for Stokes Equations Liquid Crystals with Polydispersity 3:30-3:55 Title Not Available at Time Ibrahim Fatkullin, University of Arizona, of Publication Young-Pil Choi, Imperial College London, United Kingdom; Bongsuk Kwon, USA; Valeriy Slastikov, University of Viet Ha Hoang, Nanyang Technological Bristol, United Kingdom University, Singapore Ulsan National Institute of Science and Technology, South Korea 4:00-4:25 Kalman Filtering and Inverse Problems with Infinitely Dimensional Data Jan Mandel, University of Colorado at Denver, USA 60 SIAM Conference on Analysis of Partial Differential Equations

Thursday, December 10 Thursday, December 10 Thursday, December 10 MS112 MS113 MS114 Nonlinear Parabolic Nonlinear Waves and Structure Preserving Equations and Applications Patterns - Part II of II Numerical Methods for - Part IV of IV 2:30 PM-4:30 PM Kinetic and Wave Equations - Part II of II 2:30 PM-4:30 PM Room:Flagstaff A - Upper Level Room:Coronado - Main Level For Part 1 see MS104 2:30 PM-4:30 PM For Part 3 see MS99 This minisymposium presents new advances Room:Flagstaff B - Upper Level Nonlinear parabolic differential equations in the theory of nonlinear waves and patterns For Part 1 see MS105 play an important role in many applications, for a wide range of model equations. The Speakers will address topics of current including fluid dynamics, phase transitions, speakers will discuss both Hamiltonian and interest in the broad area of numerical image processing, materials sciences, and dissipative systems, posed on discrete and analysis for kinetic and wave equations. geometry. This session focuses on recent continuous spatial domains. There will be particular emphasis on structure developments in these areas, with an preserving, such as energy preserving, entropy emphasis on well-posedness, qualitative Organizer: Hermen Jan Hupkes satisfying, bound preserving, asymptotic behavior, and numerical analysis of solutions. University of Leiden, The Netherlands preserving, numerical methods. The topics Organizer: Martina Chirilus- Organizer: Yuanzhen Shao will span a range from theoretical results Vanderbilt University, USA Bruckner to novel algorithms, and will include talks University of Leiden, The Netherlands focused on a variety of interesting application Organizer: Patrick Guidotti areas. 2:30-2:55 Structure and Stability in University of California, Irvine, USA Localized Patterns Organizer: Hailiang Liu Organizer: Gieri Simonett Elizabeth J. Makrides and Bjorn Sandstede, Iowa State University, USA Vanderbilt University, USA Brown University, USA 3:00-3:25 Traveling Fronts in Holling- Organizer: Yulong Xing 2:30-2:55 Maximal Regularity Theory Oak Ridge National Laboratory, USA on Manifolds with Singularity Tanner Model with Slow Diffusion Yuanzhen Shao, Vanderbilt University, USA Anna Ghazaryan, Miami University, USA Organizer: Hui Yu 3:00-3:25 Existence and Maximal 3:30-3:55 Nonlinear Damping RWTH Aachen University, Germany $L^p$-Regularity of Solutions for Estimates and Stability of Large- 2:30-2:55 L2 Stable Discontinuous the Porous Medium Equation on amplitude Periodic Wave Trains Galerkin Methods for One- Manifolds with Conical Singularities Kevin Zumbrun, Indiana University, USA dimensional Two-way Wave Equations Elmar Schrohe, Leibniz University 4:00-4:25 Evolution and Interaction of Yulong Xing, University of Tennessee and Hannover, Germany Localized Structures with Oscillatory Oak Ridge National Laboratory, USA 3:30-3:55 On Fluid Flows and Phase Tails 3:00-3:25 An Asymptotic Preserving Transitions Martina Chirilus-Bruckner, University of Maxwell Solver Resulting in the Darwin Gieri Simonett, Vanderbilt University, USA Leiden, The Netherlands Limit 4:00-4:25 Liouville Theorems for Andrew J. Christlieb, Michigan State the Navier Stokes Equation on a University, USA Hyperbolic Space 3:30-3:55 Multi-Level Monte Carlo Magdalena Czubak, Binghamton University, Methods for Computing Uncertain USA Systems of Conservation Laws. Kjetil Lye and Siddhartha Mishra, ETH Zürich, Switzerland 4:00-4:25 Velocity Scaling Methods for Kinetic Equations with Nonlocal Interactions Changhui Tan, Rice University, USA SIAM Conference on Analysis of Partial Differential Equations 61

Thursday, December 10 Thursday, December 10 Thursday, December 10 CP8 CP9 CP10 Hyperbolic and Flow Solitary, Shock Waves, Problems 2:30 PM-4:30 PM Atmospheric Problems 2:30 PM-4:30 PM Room:Bouchon - Main Level 2:30 PM-3:50 PM Room:Center Ballroom - Main Level Chair: Kristoffer Varholm, Norwegian Room:Chambers Lecture Hall - Main Level University of Science and Technology, Chair: To Be Determined Chair: Eric Stachura Norway 2:30-2:45 Nonuniqueness of Solutions Temple University, USA 2:30-2:45 Symmetry Properties and to the Euler-Smoluchowski System 2:30-2:45 On Ellipticity of Balance A Priori Decay Estimate for Traveling for Compressible Fluids Equations for Atmosphere Dynamics Wave Solutions to the Whitham Joshua Ballew, Carnegie Mellon University, Equation Andrei Bourchtein and Ludmila Bourchtein, USA Long Pei, NTNU, Norway; Gabriele Brull, Pelotas State University, Brazil 2:50-3:05 Central-Upwind Scheme Leibniz University Hannover, Germany; 2:50-3:05 Almost Automorphic Mild for Shallow Water Equations with Mats Ehrnstrom, Norwegian University of Solutions for Abstract Differential Discontinuous Bottom Topography Science and Technology, Norway Equations with Iterated Deviating Andrew Bernstein and Alina Chertock, 2:50-3:05 Nonclassical Shocks in Hall- Arguments North Carolina State University, USA; Mhd Flow Vikram Singh, Dwijendra Pandey, and Alka Alexander Kurganov, Tulane University, Triveni P. Shukla and Vishnu D. Sharma, Chadda, Indian Institute of Technology USA Indian Institute of Technology-Bombay, Roorkee, India 3:10-3:25 Nonlinear Wave-Diffraction India 3:10-3:25 Uniform Refraction in in Real Fuids 3:10-3:25 Optimal Dirichlet Type Negative Refractive Index Materials Neelam Gupta and Vishnu D. Sharma, Boundary Condition Control for the 1D Eric Stachura and Cristian Gutierrez, Temple Indian Institute of Technology-Bombay, Wave Equation: Finite Horizon, Infinite University, USA India Horizon 3:30-3:45 On the Nonlinear Elliptic 3:30-3:45 Exact Two-Point Water Ilya Smirnov, Lomonosov Moscow State Equation Connected with the Solitary Saturation Cdf for Stochastic Two- University, Russia Waves Phase Immiscible Flows 3:30-3:45 Steady State and Dynamical Nino Khatiashvili, Tbilisi State University, Fayadhoi Ibrahima and Hamdi Tchelepi, Radially-Symmetric Solutions of 2D Republic of Georgia Stanford University, USA Nonlinear Viscoelasticity 3:50-4:05 Homogenization of Linear Alexey Stepanov, University of Maryland, Hyperbolic Stochastic Partial USA; Stuart Antman, University of Differential Equation with Rapidly Maryland, College Park, USA Oscillating Coefficients: The Two 3:50-4:05 Traveling Water Waves with Scale Convergence Method Point Vortices Mogtaba A. Mohammed and Mamadou Kristoffer Varholm, Norwegian University of Sango, University of Pretoria, South Science and Technology, Norway Africa 4:10-4:25 Asymmetric Shape 4:10-4:25 Approximate Transitions in Epitaxial Quantum Dots Controllability of Fractional Parabolic from Pyramid to Multifaceted Dome Integrodifferential Equations Chaozhen Wei and Brian J. Spencer, State Anurag Shukla, N Sukavanam, and D.N. University of New York at Buffalo, USA Pandey, Indian Institute of Technology Roorkee, India 62 SIAM Conference on Analysis of Partial Differential Equations

Thursday, December 10 CP11 Stochastic Problems 2:30 PM-4:30 PM Room:Four Peaks - Upper Level Chair: Ani P. Velo, University of San Diego, USA 2:30-2:45 Approximation of Solutions to Stochastic Fractional Integro- Differential Equation with Deviated Argument Renu Chaudhary, Dwijendra N Pandey, and Alka Chadda, Indian Institute of Technology Roorkee, India 2:50-3:05 The Dynamic Multi- Newsvendor Problem Zhaohu Fan, Pennsylvania State University, USA 3:10-3:25 Approximate Controllability of Semi Linear Control System with Delay Using Tikhonov Regularization Ravinder Katta and Sukavanam Nagarajan, Indian Institute of Technology Roorkee, India 3:30-3:45 Optimal Multi-Level Monte-Carlo Method for a System of Stochastic PDEs Leila Taghizadeh, Amirreza Khodadadian, and Caroline Geiersbach, Vienna University of Technology, Austria; Clemens F. Heitzinger, Arizona State University, USA and Vienna University of Technology, Austria 3:50-4:05 Analytical Results for Stress and Particle Velocity on Impact Problems in Elastic Layered Media Ani P. Velo, University of San Diego, USA; George Gazonas, Army Research Office, USA 4:10-4:25 Liouville SLE Boundaries on CFT Torus Defined with Scholastic Schrödinger Equation. Scott M. Little, Northcentral University, USA; Dan Cervo, Yavapai College, USA SIAM Conference on Analysis of Partial Differential Equations 63

PD15 Abstracts

Abstracts are printed as submitted by the authors.

152 SIAM Conference on Analysis of Partial Differential Equations

Notes SIAM Conference on Analysis of Partial Differential Equations 153

PD15 Or­ganizer and Speaker Index 154 SIAM Conference on Analysis of Partial Differential Equations

A Bernstein, Andrew, CP8, 2:50 Thu C Abdulla, Ugur G., MS50, 8:30 Tue Bertozzi, Andrea L., MS1, 9:00 Mon Calder, Jeff, MS43, 8:30 Tue Abdulla, Ugur G., MS50, 8:30 Tue Bertozzi, Andrea L., MS27, 6:30 Mon Calder, Jeff, MS43, 8:30 Tue Abdulla, Ugur G., MS64, 2:30 Tue Bertozzi, Andrea L., MS59, 2:30 Tue Calder, Jeff, MS57, 2:30 Tue Alama, Stan, MS100, 9:00 Thu Bertozzi, Andrea L., MS71, 8:30 Wed Canevari, Giacomo, MS44, 9:00 Tue Alfaro, Matthieu, MS101, 9:30 Thu Bessaih, Hakima, MS4, 9:30 Mon Canic, Suncica, MS31, 5:00 Mon Ali, Zakaria, CP3, 5:00 Mon Bessaih, Hakima, MS109, 3:00 Thu Cannarsa, Piermarco, MS90, 3:00 Wed Allen, Mark, MS63, 2:30 Tue Biondini, Gino, MS54, 2:30 Tue Cannarsa, Piermarco, MS93, 8:30 Thu Allen, Mark, MS63, 2:30 Tue Biswas, Animikh, MS4, 8:30 Mon Cannarsa, Piermarco, MS93, 8:30 Thu Allen, Mark, MS75, 8:30 Wed Biswas, Animikh, MS18, 2:30 Mon Cardaliaguet, Pierre, MT1, 5:00 Tue Almog, Yaniv, MS33, 5:00 Mon Biswas, Animikh, MS28, 5:00 Mon Cardaliaguet, Pierre, MT1, 5:00 Tue Alolyan, Ibraheem, PP1, 6:00 Sun Biswas, Animikh, MS60, 3:00 Tue Cardaliaguet, Pierre, MS93, 9:00 Thu Ambrose, David, MS20, 3:30 Mon Bloshanskaya, Lidia, MS8, 10:00 Mon Carter, Paul, MS29, 5:30 Mon Andreas Atohema Somnic, Jacobs, CP1, 8:30 Bochev, Pavel, MS36, 5:00 Mon Celik, Emine, MS22, 3:00 Mon Mon Bociu, Lorena, MS19, 3:00 Mon Cerpa, Eduardo, MS77, 9:00 Wed Antil, Harbir, MS94, 8:30 Thu Bosler, Peter A., MS88, 4:00 Wed Chadha, Alka, CP3, 5:20 Mon Antil, Harbir, MS107, 2:30 Thu Bouchot, Jean-Luc, MS11, 9:30 Mon Charve, Frederic, MS55, 3:00 Tue Antil, Harbir, MS107, 2:30 Thu Bourchtein, Andrei, CP10, 2:30 Thu Chasseigne, Emmanuel, MS87, 3:00 Wed Armbruster, Dieter, MS77, 8:30 Wed Bowman, John C., MS46, 8:30 Tue Chaudhary, Renu, CP11, 2:30 Thu Auchmuty, Giles, CP1, 8:50 Mon Bradshaw, Zachary, MS60, 3:30 Tue Chekroun, Mickael, MS41, 9:30 Tue Avalos, George, MS31, 6:00 Mon Branicki, Michal, MS96, 9:00 Thu Chen, Geng, MS72, 10:00 Wed Bresch, Didier, MS40, 9:30 Tue Chen, Jingyi, MS39, 5:00 Mon B Brinkman, Daniel, MS13, 8:30 Mon Chen, Qingshan, MS67, 9:30 Wed Badger, Matthew, MS63, 4:00 Tue Brinkman, Daniel, MS13, 8:30 Mon Chen, Robin Ming, MS74, 9:30 Wed Baer, Eric, MS82, 4:00 Wed Brinkman, Daniel, MS26, 2:30 Mon Chen, Thomas, MS9, 9:30 Mon Ballew, Joshua, CP8, 2:30 Thu Bronsard, Lia, MS44, 8:30 Tue Chen, Xuwen, MS32, 6:30 Mon Bamieh, Bassam A., MS59, 3:00 Tue Bronsard, Lia, MS86, 3:00 Wed Cheng, Wei, MS93, 9:30 Thu Barbaro, Alethea, MS59, 3:30 Tue Bronsard, Lia, MS100, 8:30 Thu Cherkaev, Elena, MS22, 3:30 Mon Bardhan, Jaydeep, MS36, 5:00 Mon Brubaker, Nicholas D., MS66, 2:30 Tue Chertock, Alina, MS76, 8:30 Wed Bardhan, Jaydeep, MS36, 6:00 Mon Brubaker, Nicholas D., MS66, 2:30 Tue Chertock, Alina, MS76, 8:30 Wed Barker, Blake, MS16, 2:30 Mon Brubaker, Nicholas D., MS82, 3:00 Wed Chertock, Alina, MS89, 3:00 Wed Barker, Blake, MS68, 8:30 Wed Buckingham, Robert J., MS54, 3:30 Tue Cheskidov, Alexey, MS69, 10:00 Wed Barker, Blake, MS81, 3:00 Wed Buckmaster, Tristan, MS30, 5:30 Mon Chiodarolli, Elisabetta, MS97, 9:30 Thu Barker, Blake, MS81, 4:30 Wed Buckmaster, Tristan, MS108, 2:30 Thu Chirilus-Bruckner, Martina, MS104, 8:30 Thu Bauman, Patricia, MS86, 3:00 Wed Bueno, Hamilton, CP4, 2:30 Tue Chirilus-Bruckner, Martina, MS113, 2:30 Thu Bellsky, Thomas, CP5, 8:30 Wed Bukshtynov, Vladislav, MS50, 8:30 Tue Chirilus-Bruckner, Martina, MS113, 4:00 Thu Benson, David A., MS36, 5:30 Mon Bukshtynov, Vladislav, MS64, 2:30 Tue Chkifa, Abdellah, MS11, 8:30 Mon Berman, Spring M., MS59, 2:30 Tue Bukshtynov, Vladislav, MS64, 3:30 Tue Chkifa, Abdellah, MS25, 2:30 Mon Berman, Spring M., MS59, 2:30 Tue Chkifa, Abdellah, MS25, 3:00 Mon Berman, Spring M., MS71, 8:30 Wed Cho, Manki, CP1, 9:10 Mon Bernoff, Andrew J., MS15, 2:30 Mon

Italicized names indicate session organizers SIAM Conference on Analysis of Partial Differential Equations 155

Choffrut, Antoine, MS30, 6:00 Mon Druskin, Vladimir L., MS37, 5:00 Mon Fried, Eliot, CP7, 9:10 Thu Choi, Byoungseon, CP6, 3:00 Wed Du, Jian, MS50, 8:30 Tue Friedlander, Susan, MS41, 10:00 Tue Choi, Young-Pil, MS15, 3:30 Mon Du, Jian, MS64, 2:30 Tue Choi, Young-Pil, MS110, 4:00 Thu Du, Jian, MS64, 2:30 Tue G Gamba, Irene M., MS9, 8:30 Mon Christlieb, Andrew J., MS114, 3:00 Thu Duncan, David, MS53, 8:30 Tue Gamba, Irene M., MS23, 2:30 Mon Christodoulides, Paul, CP1, 9:30 Mon Düring, Bertram, MS71, 8:30 Wed Gangbo, Wilfrid, MS90, 4:30 Wed Chugunova, Marina, MS99, 10:00 Thu Gazeau, Maxime, MS73, 9:30 Wed Collins, Lincoln, CP7, 8:30 Thu E Ehrnstrom, Mats, MS62, 2:30 Tue Gemmer, John A., MS12, 9:30 Mon Constantin, Peter, MS73, 8:30 Wed Ehrnstrom, Mats, MS74, 8:30 Wed Gemmer, John A., MS66, 2:30 Tue Constantin, Peter, MS69, 10:30 Wed Ehrnstrom, Mats, MS74, 10:00 Wed Gemmer, John A., MS82, 3:00 Wed Conti, Sergio, MS12, 8:30 Mon Einav, Amit, MS23, 3:00 Mon Germain, Pierre, MS34, 6:30 Mon Contreras, Andres A., MS7, 9:00 Mon Eldredge, Jeff D., MS102, 9:00 Thu Germain, Pierre, MS80, 3:00 Wed Contreras, Andres A., MS91, 4:30 Wed Elgindi, Tarek M., MS83, 3:30 Wed Ghazaryan, Anna, MS113, 3:00 Thu Coti Zelati, Michele, MS27, 5:00 Mon Elgindi, Tarek M., MS108, 3:30 Thu Gie, Gung-Min, MS35, 5:00 Mon Coti Zelati, Michele, MS41, 8:30 Tue Ercole, Grey, CP1, 9:50 Mon Gie, Gung-Min, MS49, 8:30 Tue Coti Zelati, Michele, MS46, 9:00 Tue Escher, Joachim, MS85, 3:00 Wed Gie, Gung-Min, MS58, 2:30 Tue Coti Zelati, Michele, MS67, 10:30 Wed Esedoglu, Selim, MS17, 3:00 Mon Gie, Gung-Min, MS70, 8:30 Wed Cozzi, Elaine, MS70, 9:00 Wed Esedoglu, Selim, MS57, 3:00 Tue Gie, Gung-Min, MS70, 10:00 Wed Craig, Katy, MS2, 8:30 Mon Espirito Santo, Julio Cesar, CP1, 10:10 Mon Gie, Gung-Min, MS83, 4:00 Wed Craig, Katy, MS15, 2:30 Mon Evers, Joep, MS24, 2:30 Mon Gillespie, Dirk, MS36, 6:30 Mon Craig, Katy, MS43, 10:00 Tue Gillette, Andrew, MS107, 3:00 Thu Craig, Katy, MS59, 4:00 Tue F Giorgi, Tiziana, MS7, 8:30 Mon Czubak, Magdalena, MS6, 8:30 Mon Fan, Zhaohu, CP11, 2:50 Thu Giorgi, Tiziana, MS21, 2:30 Mon Czubak, Magdalena, MS20, 2:30 Mon Farah, Luiz G., CP7, 8:50 Thu Giorgi, Tiziana, MS33, 5:00 Mon Czubak, Magdalena, MS32, 5:00 Mon Farhat, Aseel, MS18, 3:00 Mon Giorgi, Tiziana, MS86, 3:00 Wed Czubak, Magdalena, MS58, 3:30 Tue Fathi, Albert, MS90, 3:30 Wed Giorgi, Tiziana, MS100, 8:30 Thu Czubak, Magdalena, MS112, 4:00 Thu Fatkullin, Ibrahim, MS21, 2:30 Mon Glasner, Karl, MS51, 8:30 Tue Fatkullin, Ibrahim, MS111, 4:00 Thu Glass, Olivier, MS77, 9:30 Wed D Feehan, Paul, MS39, 5:00 Mon D’Elia, Marta, MS36, 5:00 Mon Glatt-Holtz, Nathan, MS41, 9:00 Tue Feehan, Paul, MS53, 8:30 Tue Dai, Shibin, MS86, 3:30 Wed Glickenstein, David G., MS39, 5:30 Mon Feehan, Paul, MS53, 9:00 Tue Darbon, Jerome, MS17, 4:00 Mon Gnann, Manuel V., MS61, 3:30 Tue Feireisl, Eduard, MS40, 8:30 Tue Dascaliuc, Radu, MS18, 3:30 Mon Gnann, Manuel V., MS83, 3:00 Wed Feng, Xiaobing H., MS49, 9:30 Tue de la Hoz, Francisco, MS91, 4:00 Wed Goh, Ryan, MS16, 3:00 Mon Ferrari, Silvia, MS71, 9:00 Wed Despres, Bruno, MS89, 3:30 Wed Goldberg, Michael, MS20, 3:00 Mon Fetecau, Razvan, MS15, 4:00 Mon Disconzi, Marcelo, MS5, 8:30 Mon Goldfarb, Jonathan, MS64, 3:00 Tue Florides, Georgios, CP5, 8:50 Wed Disconzi, Marcelo, MS19, 2:30 Mon Goldsztein, Guillermo, MS37, 5:30 Mon Fonseca, Irene, MS1, 9:30 Mon Disconzi, Marcelo, MS31, 5:00 Mon Golovaty, Dmitry, MS7, 8:30 Mon Fonseca, Irene, MS42, 8:30 Tue Disconzi, Marcelo, MS45, 8:30 Tue Golovaty, Dmitry, MS21, 2:30 Mon Fontelos, Marco A., MS48, 8:30 Tue Disconzi, Marcelo, MS72, 8:30 Wed Golovaty, Dmitry, MS21, 3:00 Mon Fontelos, Marco A., MS48, 8:30 Tue Dodson, Benjamin, MS47, 9:00 Tue Golovaty, Dmitry, MS33, 5:00 Mon Fontelos, Marco A., MS61, 2:30 Tue Doostan, Alireza, MS25, 2:30 Mon Golovaty, Dmitry, MS100, 9:30 Thu French, Amanda, MS6, 9:00 Mon Doumic, Marie, MS84, 3:30 Wed Fried, Eliot, MS12, 9:00 Mon Drenska, Nadejda, MS43, 9:30 Tue

Italicized names indicate session organizers 156 SIAM Conference on Analysis of Partial Differential Equations

Gorb, Yuliya, MS8, 8:30 Mon Hocking, Laird Robert, MS17, 2:30 Mon Jerrard, Robert, MS7, 8:30 Mon Gorb, Yuliya, MS22, 2:30 Mon Hoffman, Aaron, MS104, 9:00 Thu Jerrard, Robert, MS91, 3:30 Wed Gorb, Yuliya, MS37, 5:00 Mon Hong, YoungJoon, MS35, 5:00 Mon Jimenez, Silvia, MS22, 2:30 Mon Grabovsky, Yury, MS12, 10:00 Mon Hong, YoungJoon, MS49, 8:30 Tue Jimenez, Silvia, MS37, 5:00 Mon Groves, Mark D., MS62, 3:00 Tue Hong, Youngjoon, MS83, 4:30 Wed Jimenez Bolanos, Silvia, MS8, 8:30 Mon Grujic, Zoran, MS18, 2:30 Mon Hu, Jingwei, MS76, 8:30 Wed Jin, Tianling, MS56, 3:30 Tue Grujic, Zoran, MS27, 5:30 Mon Hu, Jingwei, MS89, 3:00 Wed Jolly, Michael S., MS4, 8:30 Mon Gudiño, Elias A., CP5, 9:10 Wed Hu, Jingwei, MS89, 3:00 Wed Jolly, Michael S., MS18, 2:30 Mon Gui, Changfeng, MS99, 9:30 Thu Hu, Yeyao, CP4, 2:50 Tue Jolly, Michael S., MS28, 6:00 Mon Guidotti, Patrick, MS72, 8:30 Wed Hunter, John, MS34, 5:30 Mon Jolly, Michael S., MS46, 9:30 Tue Guidotti, Patrick, MS85, 3:00 Wed Hupkes, Hermen Jan, MS104, 8:30 Thu Joo, Sookyung, MS86, 4:30 Wed Guidotti, Patrick, MS99, 8:30 Thu Hupkes, Hermen Jan, MS104, 8:30 Thu Ju, Ning, MS60, 4:00 Tue Guidotti, Patrick, MS99, 8:30 Thu Hupkes, Hermen Jan, MS113, 2:30 Thu Jung, Chang-Yeol, MS35, 5:00 Mon Guidotti, Patrick, MS112, 2:30 Thu Hur, Vera Mikyoung, MS74, 9:00 Wed Jung, Chang-Yeol, MS49, 8:30 Tue Gupta, Neelam, CP8, 3:10 Thu Jung, Chang-Yeol, MS67, 10:00 Wed Gwiazda, Piotr, MS40, 9:00 Tue I Ibrahim, Slim, MS49, 9:00 Tue Gwiazda, Piotr, MS84, 3:00 Wed K Ibrahim, Slim, MS67, 8:30 Wed Kamburov, Nikola, MS82, 3:30 Wed Gwiazda, Piotr, MS84, 3:00 Wed Ibrahim, Slim, MS83, 3:00 Wed Kanso, Eva, MS102, 8:30 Thu H Ibrahim, Slim, MS98, 8:30 Thu Kaspar, David, MS80, 4:00 Wed Hagen, Thomas, MS19, 4:00 Mon Ibrahima, Fayadhoi, CP8, 3:30 Thu Katta, Ravinder, CP11, 3:10 Thu Hamouda, Makram, MS35, 6:30 Mon Ifrim, Mihaela, MS5, 9:00 Mon Kavlie, Landon, MS10, 8:30 Mon Hamouda, Makram, MS67, 8:30 Wed Ifrim, Mihaela, MS34, 5:00 Mon Kelleher, Casey Lynn, MS53, 9:30 Tue Hamouda, Makram, MS83, 3:00 Wed Ignatova, Mihaela, MS45, 9:30 Tue Kelliher, James P., MS35, 5:30 Mon Hamouda, Makram, MS98, 8:30 Thu Ignatova, Mihaela, MS73, 10:00 Wed Kelliher, James P., MS58, 2:30 Tue Han, Daozhi, MS49, 10:00 Tue Imbert, Cyril, MS87, 3:00 Wed Kelliher, James P., MS70, 8:30 Wed Han, Daozhi, MS46, 10:00 Tue Imbert, Cyril, MS87, 4:30 Wed Kelliher, James P., MS95, 8:30 Thu Hansen, Scott, MS45, 8:30 Tue Imbert, Cyril, MS101, 8:30 Thu Khan, Farzana, PP1, 6:00 Sun Harrop-Griffiths, Benjamin, MS34, 6:00 Imbert-Gerard, Lise-Marie, MS94, 8:30 Khatiashvili, Nino, CP10, 3:30 Thu Mon Thu Kim, Chanwoo, MS23, 2:30 Mon Harutyunyan, Davit, MS14, 2:30 Mon Imbert-Gerard, Lise-Marie, MS94, 8:30 Kitavtsev, Georgy, MS48, 8:30 Tue Haspot, Boris, MS40, 10:00 Tue Thu Kitavtsev, Georgy, MS61, 2:30 Tue Hermi, Lotfi, MS82, 4:30 Wed Imbert-Gerard, Lise-Marie, MS107, 2:30 Kitavtsev, Georgy, MS61, 2:30 Tue Thu Herty, Michael, MS13, 9:30 Mon Klaus, Colin James, MS50, 10:00 Tue Inauen, Dominik, MS3, 9:30 Mon Hintermüller, Michael, MS17, 3:30 Mon Klibanov, Michael V., MS50, 9:30 Tue Isett, Philip, MS3, 9:00 Mon Hoang, Luan, MS28, 5:00 Mon Klingenberg, Christian, MS110, 3:30 Thu Hoang, Luan, MS28, 7:00 Mon J Koch, Herbert, MS47, 9:30 Tue Hoang, Luan, MS69, 8:30 Wed Jantsch, Peter, MS89, 4:00 Wed Kohn, Robert V., MS12, 8:30 Mon Hoang, Viet Ha, MS109, 3:30 Thu Jaramillo, Gabriela, MS16, 3:30 Mon Kohn, Robert V., MS14, 2:30 Mon Hocking, Laird Robert, MS1, 8:30 Mon Jenkinson, Michael, MS32, 5:00 Mon Kohn, Robert V., MS38, 5:00 Mon Hocking, Laird Robert, MS1, 8:30 Mon Jennings, Rachel L., CP5, 9:30 Wed

Italicized names indicate session organizers SIAM Conference on Analysis of Partial Differential Equations 157

Kolokolnikov, Theo, MS51, 9:00 Tue Lewicka, Marta, MS3, 10:00 Mon Margetis, Dionisios, MS42, 9:30 Tue Kotschwar, Brett L., MS39, 6:00 Mon Lewicka, Marta, MS30, 5:00 Mon Maridakis, Manousos, MS39, 6:30 Mon Krechetnikov, Rouslan, MS48, 9:30 Tue Lewicka, Marta, MS38, 6:30 Mon Martin, Stephan, MS26, 3:00 Mon Kreml, Ondrej, MS97, 10:00 Thu Li, Jinglai, MS89, 4:30 Wed Martinez, Vincent R., MS4, 8:30 Mon Kublik, Catherine M., MS57, 2:30 Tue Li, Peijun, MS79, 9:30 Wed Martinez, Vincent R., MS4, 8:30 Mon Kukavica, Igor, MS4, 10:00 Mon Lienstromberg, Christina, MS85, 4:00 Wed Martinez, Vincent R., MS18, 2:30 Mon Kukavica, Igor, MS27, 6:00 Mon Lin, Junshan, MS92, 3:00 Wed Martins, Eder M., CP7, 9:30 Thu Kukavica, Igor, MS73, 8:30 Wed Lindsay, Alan E., MS51, 9:30 Tue Marzuola, Jeremy L., MS20, 2:30 Mon Kukavica, Igor, MS95, 8:30 Thu Little, Scott M., CP11, 4:10 Thu Marzuola, Jeremy L., MS34, 5:00 Mon Kukavica, Igor, MS108, 2:30 Thu Liu, Chun, MS44, 10:00 Tue Marzuola, Jeremy L., MS47, 8:30 Tue Kumari, Nitu, CP5, 9:50 Wed Liu, Hailiang, MS105, 8:30 Thu Marzuola, Jeremy L., MS42, 10:00 Tue Kupferman, Raz, MS14, 3:00 Mon Liu, Hailiang, MS105, 8:30 Thu Masnou, Simon, MS17, 2:30 Mon Kurganov, Alexander, MS76, 8:30 Wed Liu, Hailiang, MS114, 2:30 Thu Mazzucato, Anna L., MS58, 2:30 Tue Kurganov, Alexander, MS89, 3:00 Wed Liu, Honghu, MS27, 5:00 Mon Mazzucato, Anna L., MS70, 8:30 Wed Kurganov, Alexander, MS105, 9:30 Thu Liu, Honghu, MS41, 8:30 Tue Mazzucato, Anna L., MS95, 10:00 Thu Liu, Jiaqi, MS54, 3:00 Tue Mccalla, Scott, MS24, 3:00 Mon L Lopes Filho, Milton, MS110, 3:00 Thu McLaughlin, Ken, MS52, 8:30 Tue Lacave, Christophe, MS58, 4:00 Tue Lopez-Pamies, Oscar, MS22, 4:00 Mon Mcquighan, Kelly, MS29, 6:00 Mon Lacave, Christophe, MS73, 8:30 Wed Lu, Jianfeng, MS42, 8:30 Tue Mellet, Antoine, MS101, 10:00 Thu Lacave, Christophe, MS95, 8:30 Thu Lu, Jianfeng, MS56, 2:30 Tue Mendelson, Dana, MS9, 10:00 Mon Lacave, Christophe, MS108, 2:30 Thu Lu, Jianfeng, MS56, 3:00 Tue Menon, Govind, MS80, 3:00 Wed Lafortune, Stephane, MS16, 2:30 Mon Lu, Yongjin, MS31, 5:30 Mon Menon, Govind, MS106, 4:00 Thu Lafortune, Stephane, MS29, 5:00 Mon Lu, Yunguang, CP3, 5:40 Mon Merino-Aceituno, Sara, MS23, 3:30 Mon Lambers, James V., MS99, 9:00 Thu Lund, Ross, PP1, 6:00 Sun Michalowski, Nicholas, MS33, 6:30 Mon Landman, Kerry A., IP1, 11:00 Mon Lye, Kjetil, MS114, 3:30 Thu Migliorati, Giovanni, MS25, 3:30 Mon Lannes, David, MS62, 2:30 Tue Lyng, Gregory, MS81, 3:00 Wed Mireles-James, Jason, MS68, 9:00 Wed Larios, Adam, MS10, 8:30 Mon Lytle, Joshua, MS68, 10:00 Wed Mohammed, Mogtaba A., CP8, 3:50 Thu Larios, Adam, MS88, 3:30 Wed Mondaini, Cecilia F., MS18, 4:00 Mon Lasiecka, Irena M., MS5, 8:30 Mon M Mondaini, Cecilia F., MS69, 9:00 Wed Lasiecka, Irena M., MS19, 2:30 Mon Maggi, Francesco, IP3, 11:00 Tue Moreles, Miguel A., CP2, 2:50 Mon Lasiecka, Irena M., MS31, 5:00 Mon Maggi, Francesco, MS30, 6:30 Mon Moskow, Shari, MS8, 8:30 Mon Lasiecka, Irena M., MS45, 8:30 Tue Maggi, Francesco, MS63, 2:30 Tue Moskow, Shari, MS79, 10:00 Wed Lasiecka, Irena M., MS95, 9:00 Thu Maggi, Francesco, MS75, 8:30 Wed Motsch, Sebastien, MS13, 8:30 Mon Law, Kody, MS96, 8:30 Thu Makrides, Elizabeth J., MS113, 2:30 Thu Motsch, Sebastien, MS26, 2:30 Mon Law, Kody, MS109, 2:30 Thu Malham, Simon, MS68, 9:30 Wed Motsch, Sebastien, MS71, 9:30 Wed Lawrie, Andrew, MS6, 9:30 Mon Mandel, Jan, MS109, 4:00 Thu Mou, Chenchen, CP7, 9:50 Thu Lazar, Omar, MS98, 9:30 Thu Mandre, Shreyas, MS102, 9:30 Thu Mrad, Lidia, MS86, 4:00 Wed LeCrone, Jeremy, MS85, 4:30 Wed Manukian, Vahagn, MS16, 2:30 Mon Mucha, Piotr, MS40, 8:30 Tue Lee, Chung-Min, MS24, 2:30 Mon Manukian, Vahagn, MS29, 5:00 Mon Mucha, Piotr, MS55, 2:30 Tue Lega, Joceline, MS29, 5:00 Mon Manukian, Vahagn, MS29, 6:30 Mon Mucha, Piotr, MS55, 4:00 Tue Lewicka, Marta, MS3, 8:30 Mon Maor, Cy, MS38, 5:00 Mon Mucha, Piotr, MS84, 4:00 Wed

Italicized names indicate session organizers 158 SIAM Conference on Analysis of Partial Differential Equations

Muratov, Cyrill B., MS56, 4:00 Tue Pausader, Benoit, MS70, 8:30 Wed S Murray, Ryan, MS75, 10:00 Wed Pavlovic, Natasa, MS9, 8:30 Mon Salgado, Abner J., MS103, 9:30 Thu Music, Michael, MS52, 10:00 Tue Pavlovic, Natasa, MS9, 9:00 Mon Salgado, Abner J., MS107, 4:00 Thu Pavlovic, Natasa, MS23, 2:30 Mon Salvador, Tiago, MS57, 3:30 Tue N Pazoto, Ademir, MS5, 9:30 Mon Narayan, Akil, MS11, 9:00 Mon Sanchez-Vizuet, Tonatiuh, MS94, 9:30 Thu Pego, Robert, MS80, 4:30 Wed Natali, Fabio, CP7, 10:10 Thu Santangelo, Christian, MS66, 3:30 Tue Pei, Long, CP9, 2:30 Thu Neilan, Michael J., MS107, 3:30 Thu Santitissadeekorn, Naratip, MS109, 2:30 Thu Pei, Yuan, MS60, 2:30 Tue Nguyen, Hoai-Minh, MS37, 6:00 Mon Scheel, Arnd, MS16, 4:00 Mon Pelinovsky, Dmitry, MS104, 9:30 Thu Nicholls, David P., MS79, 8:30 Wed Schoenlieb, Carola B., MS1, 8:30 Mon Peng, Guanying, MS7, 9:30 Mon Nicholls, David P., MS79, 8:30 Wed Schoenlieb, Carola B., MS17, 2:30 Mon Pennybacker, Matthew, MS66, 4:00 Tue Nicholls, David P., MS92, 3:00 Wed Schönlieb, Carola-Bibiane, IP8, 11:45 Thu Perry, Peter A., MS52, 8:30 Tue Nika, Grigor, CP4, 3:10 Tue Schrohe, Elmar, MS112, 3:00 Thu Perry, Peter A., MS54, 2:30 Tue Nitsche, Monika, MS88, 3:00 Wed Seis, Christian, MS61, 3:00 Tue Peszynska, Malgorzata, MS22, 2:30 Mon Nitsche, Monika, MS88, 4:30 Wed Selitskii, Anton M., CP3, 6:00 Mon Pettersson, Per, MS76, 9:30 Wed Nitsche, Monika, MS102, 8:30 Thu Sethuraman, Sunder, MS80, 3:30 Wed Phan, Tuoc Van, MS69, 8:30 Wed Nobile, Fabio, MS11, 8:30 Mon Shafrir, Itai, MS33, 5:30 Mon Phillips, Daniel, MS100, 10:00 Thu Nobile, Fabio, MS96, 8:30 Thu Shahshahani, Sohrab, MS6, 10:00 Mon Phillips, Daniel, MS111, 3:00 Thu Nobile, Fabio, MS109, 2:30 Thu Shao, Yuanzhen, MS72, 8:30 Wed Pillow, Jessica, PP1, 6:00 Sun Nussenzveig Lopes, Helena J., MS95, 9:30 Shao, Yuanzhen, MS85, 3:00 Wed Thu Poggi Cevallos, Bruno, MS50, 10:30 Tue Shao, Yuanzhen, MS99, 8:30 Thu Pop, Camelia, MS63, 3:00 Tue Shao, Yuanzhen, MS112, 2:30 Thu O Preston, Stephen, MS5, 8:30 Mon Shao, Yuanzhen, MS112, 2:30 Thu Oberman, Adam M., MS43, 8:30 Tue Procesi, Michela, MS93, 10:00 Thu Shearer, Michael, MS61, 4:00 Tue Oberman, Adam M., MS57, 2:30 Tue Shen, Shengyi, MS98, 9:00 Tue Olbermann, Heiner, MS14, 4:00 Mon R Shimabukuro, Yusuke, MS69, 9:30 Wed Olson, Eric, MS10, 10:00 Mon Rademacher, Jens, MS81, 3:30 Wed Shipman, Patrick, MS66, 3:00 Tue Olson, Eric, MS28, 5:00 Mon Ravindran, S.S., CP2, 3:10 Mon Shirokoff, David, MS2, 9:30 Mon Olson, Eric, MS69, 8:30 Wed Raynor, Sarah, MS32, 5:30 Mon Shkoller, Steve, MS45, 9:00 Tue O’Riordan, Eugene, MS35, 6:00 Mon Reinhardt, Christian P., MS68, 8:30 Wed Short, Martin, MS24, 3:30 Mon Orizaga, Saulo, MS82, 3:00 Wed Ren, Xiaofeng, MS51, 8:30 Tue Shoup, David, MS65, 3:30 Tue Ou, Miao-Jung Y., MS8, 9:30 Mon Ren, Xiaofeng, MS65, 2:30 Tue Showalter, Ralph E., MS19, 2:30 Mon Ren, Xiaofeng, MS65, 3:00 Tue Shukla, Triveni P., CP9, 2:50 Thu P Ricciotti, Diego, MS38, 5:30 Mon Pakzad, Reza, MS3, 8:30 Mon Shvydkoy, Roman, MS87, 4:00 Wed Richards, Geordie, MS10, 9:00 Mon Pakzad, Reza, MS14, 3:30 Mon Simonett, Gieri, MS72, 8:30 Wed Rifford, Ludovic, MS90, 4:00 Wed Pakzad, Reza, MS30, 5:00 Mon Simonett, Gieri, MS85, 3:00 Wed Rinaldi, Matteo, CP4, 3:30 Tue Palffy-Muhoray, Peter, MS111, 2:30 Thu Simonett, Gieri, MS99, 8:30 Thu Ringhofer, Christian, MS71, 10:00 Wed Pasciak, Joseph, MS103, 8:30 Thu Simonett, Gieri, MS112, 2:30 Thu Rodrigues, Miguel, SP1, 2:00 Wed Pasciak, Joseph, MS103, 8:30 Thu Simonett, Gieri, MS112, 3:30 Thu Rodriguez, Juan, MS26, 3:30 Mon Patacchini, Francesco, MS2, 9:00 Mon Simpson, Gideon, MS6, 8:30 Mon Roger, Temam, MS27, 5:00 Mon Patrizi, Stefania, MS75, 8:30 Wed Simpson, Gideon, MS20, 2:30 Mon Roger, Temam, MS41, 8:30 Tue Patrizi, Stefania, MS101, 8:30 Thu Simpson, Gideon, MS32, 5:00 Mon Rosa, Ricardo, MS10, 9:30 Mon Pausader, Benoit, MS47, 8:30 Tue Singh, Paramjeet, CP2, 3:30 Mon Rossmanith, James A., MS105, 10:00 Thu Singh, Vikram, CP10, 2:50 Thu Ruan, Yuanlong, MS57, 4:00 Tue Slastikov, Valeriy, MS21, 3:30 Mon Rusin, Walter, MS58, 3:00 Tue Slastikov, Valeriy, MS44, 8:30 Tue

Italicized names indicate session organizers SIAM Conference on Analysis of Partial Differential Equations 159

Slastikov, Valeriy, MS78, 8:30 Wed T Trenchea, Catalin S., MS25, 4:00 Mon Slastikov, Valeriy, MS111, 2:30 Thu Tadmor, Eitan, MS41, 8:30 Tue Triggiani, Roberto, MS45, 10:00 Tue Slepcev, Dejan, MS2, 10:00 Mon Taghizadeh, Leila, MS37, 6:30 Mon Trivisa, Konstantina, MS55, 3:30 Tue Smart, Charles, IP6, 11:45 Wed Taghizadeh, Leila, CP11, 3:30 Thu Turc, Catalin, MS79, 9:00 Wed Smart, Charles, MS80, 3:00 Wed Tan, Changhui, MS114, 4:00 Thu Tutberidze, Mikheil, CP6, 4:20 Wed Smets, Didier, MS91, 3:00 Wed Tarfulea, Andrei, MS5, 10:00 Mon Tzavaras, Athanasios, MS84, 4:30 Wed Smirnov, Aleksandr, CP6, 3:20 Wed Tarhini, Rana, MS101, 9:00 Thu Smirnov, Ilya, CP9, 3:10 Thu V Taskovic, Maja, MS9, 8:30 Mon Varholm, Kristoffer, CP9, 3:50 Thu Smith, Hal L., MS28, 6:30 Mon Taskovic, Maja, MS23, 2:30 Mon Vasseur, Alexis F., MS55, 2:30 Tue Sorrentino, Alfonso, MS90, 3:00 Wed Taskovic, Maja, MS23, 4:00 Mon Vega, Luis, MS91, 3:00 Wed Sorrentino, Alfonso, MS90, 3:00 Wed Taskovic, Maja, MS32, 6:00 Mon Velo, Ani P., CP11, 3:50 Thu Sorrentino, Alfonso, MS93, 8:30 Thu Tataru, Daniel, IP4, 11:45 Tue Venakides, Stephanos, MS54, 4:00 Tue Souza, Max O., CP4, 3:50 Tue Tataru, Daniel, MS34, 5:00 Mon Venkataramani, Shankar C., CP6, 4:40 Wed Spantini, Alessio, MS96, 8:30 Thu Tataru, Daniel, MS47, 8:30 Tue Venkataramani, Shankar C., MS106, 2:30 Thu Spirn, Daniel, MS6, 8:30 Mon Temam, Roger M., MS35, 5:00 Mon Venkataramani, Shankar C., MS106, 2:30 Thu Spirn, Daniel, MS7, 10:00 Mon Temam, Roger M., MS49, 8:30 Tue Vicol, Vlad C., IP2, 11:45 Mon Spirn, Daniel, MS20, 2:30 Mon Temam, Roger M., MS67, 8:30 Wed Vicol, Vlad C., MS35, 5:00 Mon Spirn, Daniel, MS32, 5:00 Mon Temam, Roger M., MS73, 9:00 Wed Vicol, Vlad C., MS73, 8:30 Wed Spirn, Daniel, MS88, 3:00 Wed Teodorescu, Razvan, MS106, 3:30 Thu Vicol, Vlad C., MS95, 8:30 Thu Stachura, Eric, CP10, 3:10 Thu Teran, Joseph, IP7, 11:00 Thu Vicol, Vlad C., MS108, 2:30 Thu Staffilani, Gigliola, MS9, 8:30 Mon Thatcher, Andee, MS13, 9:00 Mon Vigneron, François, MS87, 3:30 Wed Stein, David, MS64, 4:00 Tue Thompson, Kyle, MS6, 8:30 Mon Volkening, Alexandria, MS104, 10:00 Thu Steinerberger, Stefan, MS75, 9:00 Wed Tilley, Burt S., MS8, 9:00 Mon von Brecht, James, MS24, 2:30 Mon Stepanov, Alexey, CP9, 3:30 Thu Titi, Edriss S., MS4, 9:00 Mon Sternberg, Peter, MS33, 6:00 Mon Titi, Edriss S., MS97, 8:30 Thu W Sternberg, Peter, MS78, 8:30 Wed Tobasco, Ian, MS38, 6:00 Mon Wahlen, Erik, MS62, 3:30 Tue Stinga, Pablo R., MS63, 3:30 Tue Tomarelli, Franco, MS1, 10:00 Mon Walker, Christoph, MS85, 3:30 Wed Strait, Melissa, MS48, 10:00 Tue Tomoeda, Kyoko, CP6, 4:00 Wed Walker, Shawn W., MS94, 10:00 Thu Strauss, Walter, MS74, 8:30 Wed Tone, Florentina, MS98, 8:30 Thu Walsh, Samuel, MS62, 2:30 Tue Streets, Jeffrey, MS53, 10:00 Tue Topaloglu, Ihsan A., MS2, 8:30 Mon Walsh, Samuel, MS62, 4:00 Tue Suazo, Erwin, CP3, 6:20 Mon Topaloglu, Ihsan A., MS2, 8:30 Mon Walsh, Samuel, MS74, 8:30 Wed Sukavanam, N, CP8, 4:10 Thu Topaloglu, Ihsan A., MS15, 2:30 Mon Wang, Changyou, MS19, 3:30 Mon Sukhinin, Alexey, CP6, 3:40 Wed Topaloglu, Ihsan A., MS65, 2:30 Tue Wang, Changyou, MS72, 9:00 Wed Sulem, Catherine, MS6, 8:30 Mon Topaloglu, Ihsan A., MS100, 8:30 Thu Wang, Chong, CP5, 10:10 Wed Sulem, Catherine, MS20, 2:30 Mon Toundykov, Daniel, MS5, 8:30 Mon Wang, Chuntian, MS27, 5:00 Mon Sulem, Catherine, MS32, 5:00 Mon Toundykov, Daniel, MS19, 2:30 Mon Wang, Chuntian, MS27, 5:00 Mon Sulem, Catherine, MS52, 8:30 Tue Toundykov, Daniel, MS31, 5:00 Mon Wang, Chuntian, MS41, 8:30 Tue Sulem, Catherine, MS54, 2:30 Tue Toundykov, Daniel, MS45, 8:30 Tue Wang, Fei, MS108, 4:00 Thu Sulem, Catherine, MS108, 3:00 Thu Trabelsi, Saber, MS96, 10:00 Thu Wang, Hong, MS103, 10:00 Thu Swierczewska-Gwiazda, Agnieszka, MS30, Tran, Hoang A., MS11, 8:30 Mon Wang, Li, MS24, 4:00 Mon 5:00 Mon Tran, Hoang A., MS25, 2:30 Mon Wang, Qi, MS78, 9:00 Wed Swierczewska-Gwiazda, Agnieszka, MS97, Wang, Taige, CP6, 5:00 Wed 8:30 Thu Tran, Hung, MS75, 9:30 Wed Wang, Xiaoming, MS49, 8:30 Tue Swierczewska-Gwiazda, Agnieszka, MS110, Trelat, Emmanuel, MS77, 8:30 Wed 2:30 Thu Trélat, Emmanuel, IP5, 11:00 Wed Wang, Xiaoming, MS67, 9:00 Wed

Italicized names indicate session organizers 160 SIAM Conference on Analysis of Partial Differential Equations

Ward, Michael, MS51, 10:00 Tue Yu, Xiaohui, CP3, 6:40 Mon Watson, Stephen J., MS65, 4:00 Tue Weare, Jonathan, MT2, 5:15 Wed Z Zakerzadeh, Hamed, CP2, 4:10 Mon Weare, Jonathan, MT2, 5:15 Wed Zakerzadeh, Mohammad, CP2, 3:50 Mon Weare, Jonathan, MS96, 9:30 Thu Zarnescu, Arghir, MS44, 8:30 Tue Webster, Clayton G., MS11, 8:30 Mon Zarnescu, Arghir, MS44, 9:30 Tue Webster, Clayton G., MS11, 10:00 Mon Zarnescu, Arghir, MS78, 8:30 Wed Webster, Clayton G., MS25, 2:30 Mon Zarnescu, Arghir, MS111, 2:30 Thu Webster, Justin T., MS5, 8:30 Mon Zatorska, Ewelina, MS40, 8:30 Tue Webster, Justin T., MS19, 2:30 Mon Zatorska, Ewelina, MS40, 10:30 Tue Webster, Justin T., MS31, 5:00 Mon Zatorska, Ewelina, MS55, 2:30 Tue Webster, Justin T., MS45, 8:30 Tue Zemlyanova, Anna, MS106, 3:00 Thu Wei, Chaozhen, CP9, 4:10 Thu Zepeda-Núñez, Leonardo, MS94, 9:00 Thu Westdickenberg, Michael, MS97, 9:00 Thu Zhang, Bingsheng, MS28, 5:30 Mon Wetzel, Alfredo N., MS52, 9:30 Tue Zhang, Can, MS77, 10:00 Wed Whitehead, Jared P., MS46, 8:30 Tue Zhang, Guannan, MS11, 8:30 Mon Whitehead, Jared P., MS60, 2:30 Tue Zhang, Guannan, MS25, 2:30 Mon Whitehead, Jared P., MS70, 9:30 Wed Zhelezov, Gleb, MS26, 2:30 Mon Wiedemann, Emil, MS110, 2:30 Thu Zheng, Xiaoyu, MS78, 9:30 Wed Wilkinson, Mark, MS111, 3:30 Thu Zheng, Zhong, MS48, 9:00 Tue Wright, J. Douglas, MS20, 4:00 Mon Zhou, Haomin, MS50, 9:00 Tue Wu, Qiliang, MS16, 4:30 Mon Zhou, Haomin, CP4, 4:10 Tue Wu, Tong, CP2, 2:30 Mon Zhou, Zhi, MS103, 9:00 Thu Wu, Yilun, MS52, 9:00 Tue Zhu, Jiuyi, MS72, 9:30 Wed X Zhu, Kangping, MS43, 9:00 Tue Xiang, Yang, MS42, 8:30 Tue Zumbrun, Kevin, MS68, 8:30 Wed Xiang, Yang, MS42, 9:00 Tue Zumbrun, Kevin, MS81, 3:00 Wed Xiang, Yang, MS56, 2:30 Tue Zumbrun, Kevin, MS81, 4:00 Wed Xing, Yulong, MS105, 8:30 Thu Zumbrun, Kevin, MS113, 3:30 Thu Xing, Yulong, MS114, 2:30 Thu Xing, Yulong, MS114, 2:30 Thu Xiu, Dongbin, MS76, 9:00 Wed Xu, Ling, MS102, 10:00 Thu Y Yamazaki, Kazuo, MS58, 2:30 Tue Yan, Baisheng, MS3, 8:30 Mon Yang, Xiu, MS76, 10:00 Wed Yao, Yao, MS15, 3:00 Mon Yip, Aaron, MS56, 2:30 Tue Yousef, Feras, MS21, 4:00 Mon Yu, Hui, MS105, 8:30 Thu Yu, Hui, MS105, 9:00 Thu Yu, Hui, MS114, 2:30 Thu

Italicized names indicate session organizers SIAM Conference on Analysis of Partial Differential Equations 161

PD15 Conference Budget

Conference Budget SIAM Conference on Analysis of Partial Differential Equations December 7-10, 2015 Scottsdale, Arizona

Expected Paid Attendance 370

Revenue Registration Income $126,880 Total $126,880

Expenses Printing $3,300 Organizing Committee $3,800 Invited Speakers $11,250 Food and Beverage $25,036 AV Equipment and Telecommunication $27,200 Advertising $5,000 Conference Labor (including benefits) $51,793 Other (supplies, staff travel, freight, misc.) $9,600 Administrative $14,540 Accounting/Distribution & Shipping $7,753 Information Systems $13,979 Customer Service $5,280 Marketing $8,293 Office Space (Building) $5,245 Other SIAM Services $5,540 Total $197,609

Net Conference Expense ($70,729)

Support Provided by SIAM $70,729 $0

Estimated Support for Travel Awards not included above:

Early Career and Students 34 $24,300 DoubleTree Resort, Scottsdale Floor Plan