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Nonlinear Evolution Equations and Wave Phenomena: Computation and Theory

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Nonlinear Evolution Equations and Wave Phenomena: Computation and Theory The Eleventh IMACS International Conference on NONLINEAR EVOLUTION EQUATIONS AND WAVE PHENOMENA: COMPUTATION AND THEORY April 17–19, 2019 Georgia Center for Continuing Education University of Georgia, Athens, GA, USA http://waves2019.uga.edu Edited by Gino Biondini and Thiab Taha Book of Abstracts The Eleventh IMACS International Conference On Nonlinear Evolution Equations and Wave Phenomena: Computation and Theory Athens, Georgia April 17—19, 2019 Sponsored by The International Association for Mathematics and Computers in Simulation (IMACS) The Computer Science Department, University of Georgia Edited by Gino Biondini and Thiab Taha Sponsors International Association for Mathematics and Computers in Simulation (IMACS) Keynote Speakers Computer Science Department at UGA David Ambrose: "Vortex sheets, Boussinesq equations, and other problems in the Wiener algebra" Organization Alex Himonas:"Initial and boundary value problems for T. Taha (USA), General Chair & Conference Coordinator evolution equations” G. Biondini (USA), Co-chair J. Bona (USA), Co-chair Stefano Trillo:"Nonlinear PDEs describing real R. Vichnevetsky (USA), experiments: recurrences, solitons, and shock waves" Honorary President of IMACS, Honorary Chair Scientific program committee Bedros Afeyan (USA) Yuri Latushkin (USA) David Amrbrose (USA) Jonatan Lenells (USA) Stephen Anco (Canada) Changpin Li (China) Andrea Barreiro (USA) Andrei Ludu (USA) Gino Biondini (USA) Pavel Lushnikov (USA) Lorena Bociu (USA) Dionyssis Mantzavions (USA) Jerry Bona (USA) Peter Miller (USA) Jared Bronski(USA) Dimitrios Mitsotakis (USA) Robert Buckingham (USA) Nobutaka Nakazono (Japan) Annalisa Calini (USA) Alan Newell (USA) Ricardo Carretero (USA) Katie Newhall (USA) John Carter (USA) Beatrice Pelloni (UK) Efstathios G. Charalampidis (USA) Virgil Pierce (USA) Min Chen (USA) Barbara Prinari (USA) Guangye Chen (USA) Pamela Pyzza (USA) Wooyoung Choi (USA) Zhijun (George) Qiao (USA) Antoine Cerfon (USA) Vassilios Rothos (Greece) Anton Dzhamay (USA) Xu Runzhang (China) Anna Ghazaryan (USA) Constance Schober (USA) Alex Himonas (USA) Brad Shadwick (USA) Curtis Holliman (USA) Israel Michael Sigal (Canada) Pedro Jordan (USA) Avraham Soffer (USA) Nalini Joshi (Australia) Martin Ostoja Starzewski (USA) Kenji Kajiwara (USA) Thiab Taha (USA) Henrik Kalisch (Norway) Michail Todorov (Bulgaria) David Kaup (USA) Muhammad Usman (USA) Panayotis Kevrekidis (USA) Samuel Walsh (USA) Alexander Korotkevic (USA) Jianke Yang (USA) Gregor Kovacic (USA) Vladimir Zakharov (USA) Stephane Lafortune (USA) Organized sessions 1. Jerry Bona, Min Chen,Shuming Sun, Bingyu Zhang, 21. Katie Newhall: "Stochastic dynamics in nonlinear "Nonlinear waves" systems" 2. Barbara Prinari, Alyssa K. Ortiz "Novel challenges in 22. Robert Buckkingham, Peter Miller: "Modern methods for nonlinear waves and integrable systems" dispersive wave equations" 3. John Carter, "Recent developments in mathematical 23. Sergey Dyachenko, Katelyn Leisman, Denis Silantyev: models of water waves " "Nonlinear waves in optics, fluids and plasma" 4. Andrei Ludu, Changpin Li, Thiab Taha, "Fractional 24. Michael Sigal, Jianfeng Lu: "Mathematical perspectives diferential equations" in quantum mechanics and quantum chemistry" 5. Alex Himonas, Curtis Holliman, Dionyssis 25. Alexander O. Korotkevich and Pavel Lushnikov: Mantzavinos:"Evolution equations and integrable systems" "Nonlinear waves, singularities,vortices, and turbulence in 6. Vladimir Dragovic, Anton Dzhamay, Virgil Pierce: hydrodynamics, physcal, and biological systems" "Random matrices, Painleve equations, and integrable 26. Ziad Musslimani, Matthew Russo: "Physical applied systems" mathematics" 7. Bernard Deconinck, Anna Ghazaryan, Mat Johnson, 27. Cancelled Stephane Lafortune, Yuri Latushkin, Jeremy Upsal, Samuel Walsh: "Stability and traveling waves" 28. Chaudry Masood Khalique, Muhammad Usman: "Recent advances in analytical and computational methods for 8.Avraham Soffer, Gang Zhao, S. Gustafson: "Dispersive nonlinear partial differential equations" wave equations and their soliton interactions: Theory and applications" 9. Efstathios Charalampidis, Fotini Tsitoura: "Nonlinear evolutionary equations: Theory, numerics and experiments" 10. Robin Ming Chen, Runzhang Xu: "Recent advances in PDEs from fluid dynamics and other dynamical models" 11. Cancelled 12. Gino Biondini: “Dispersive shocks, semiclassical limits and applications" 13. Qi Wang and Xueping Zhao:"Recent advances in numerical methods of PDEs and applications in life science, material science" 14. Bedros Afeyan, Brad Shadwicn, Jon Wilkening: "Nonlinear kinetic self-organized plasma dynamics driven by coherent, intense electromagnetic fields session" 15. Yi Zhu, Xu Yang, Hailong Guo: "Waves in topological materials" 16. Dmitry Pelinovsky and Anna Geyer: "Existence and stability of peaked waves in nonlinear evolution equations" 17. Pamela B. Pyzza: "Nonlinear dynamics of mathematical models in neuroscience" 18. Stephen Anco, Stephane Lafortune, Zhijun (George) Qiao: “Negative flows, peakons, integrable systems,and their applications" 19. Thomas Carty: "Network dynamics" 20. Nalini Joshi, Giorgio Gubbiotti, Nobutaka Nakazono, Milena Radnovic, Yang Shi, Dinh Tran: "Dynamical systems and integrability" PROGRAM AT A GLANCE Wednesday, April 17, 2019 Mahler auditoriumRoom F/GRoom Y/ZRoom ERoom JRoom V/WRoom BRoom CRoom D 8.00–8.30amWelcome 8.30–9.30amKeynote lecture I: David Ambrose 9.30–10.00am Coffee break 10.00–10.50amS7 - I/IXS3 - I/IIIS24 - I/IIIS25 - I/VIIS20 - I/IIS21 - I/IIS15 - I/IIIS19 - I/II 10.55am–12.10pmS7 - II/IXS3 - II/IIIS24 - II/IIIS18 - I/IVS6 - I/IIIS5 - I/VS15 - II/III S19 - II/II 12.10–1.40pm Lunch (attendees on their own) 1.40–3.20pmS7 - III/IXS5 - II/VS9 - I/IIIS18 - II/IVS6 - II/IIIS28 - I/IS15 - III/IIIPapers 3.20–3.50pm Coffee break 3.50–5.55pmS7 - IV/IXS5 - III/VS9 - II/IIIS25 - II/VIIS6 - III/IIIS16 - I/IIIS21 - II/IIS24 - III/IIIS10 - I/I Thursday, April 18, 2019 Masters HallRoom F/GRoom Y/ZRoom ERoom JRoom V/WRoom KRoom LRoom D 8:00–9:00am : Alex Himonas 9:10–10:00amS4 - I/IIIS8 - I/VS25 - III/VIIS12 - I/IIIS16 - II/IIIPapersS17 - I/II 10:00–10:30am Coffee break 10:30–12:10pmS18 - III/IVS9 - III/IIIS22 - I/IIS25 - IV/VIIS12 - II/IIIS16 - III/III S3 - III/IIIS2 - I/IIS17 - II/II 12:10–1:40pm Lunch (attendees on their own) 1:40–3:20pmS7 - V/IXS5 - IV/VS8 - II/VS25 - V/VIIS1 - I/IIS12 - III/IIIS26 - I/IIS2 - II/IIS20 - II/II 3:20–3:50pm Coffee break 3:50–5:55pmS7 - VI/IXS5 - V/VS8 - III/VS18 - IV/IVS1 - II/IIS22 - II/IIS26 - II/IIS4 - II/IIIS23 - I/II 5:00–7:00pmPosters, Hill Atrium (outside Mahler auditorium) 7:00–9:00pm Conference banquet (including student papers award) Friday, April 19, 2019 Masters HallRoom F/GRoom Y/ZRoom KRoom V/W 8:00–9:00amKeynote lecture 3: Stefano Trillo 9:10–10:00amS7 - VII/IXS13 - I/IIS14 - I/IIS25 - VI/VII 10:00–10:30am Coffee break 10:30–12:10pmS7 - VIII/IXS13 - II/IIS8 - IV/VS4 - III/IIIS25 - VII/VII 12:10–1:40pm Lunch (attendees on their own) 1:40–3:20pmS7 - IX/IXS23 - II/IIS8 - V/VS14 - II/II 3:20–3:50pm Coffee break CONFERENCE PROGRAM ======================================================================================== TUESDAY, APRIL 16, 2019 5:00–6:00 REGISTRATION (in front of Mahler Hall) 5:00–7:00 RECEPTION ======================================================================================== WEDNESDAY, APRIL 17, 2019 7:30–9:30 REGISTRATION 8:00–8:30 WELCOME Thiab Taha, Program Chair and Conference Coordinator Alan Dorsey, Dean of the Franklin College of Arts and Sciences, UGA 8:30–9:30 KEYNOTE LECTURE I, Mahler Hall David Ambrose: Vortex sheets, Boussinesq equations, and other problems in the Wiener algebra Chair: Thiab Taha 9:30–10:00 COFFEE BREAK 10:00–10:50 SESSION 7, Mahler Hall: Stability and traveling waves – Part I/IX Chairs: Bernard Deconinck, Anna Ghazaryan, Mat Johnson, Stephane Lafortune, Yuri Latushkin, Jeremy Upsal, Samuel Walsh 10:00–10:25 Stephane Lafortune: Study of a model of a liquid in presence of a surfactant 10:25–10:50 Panayotis Kevrekidis: On some Select Klein-Gordon problems: internal modes, fat tails, wave collisions and beyond 10:00–10:50 SESSION 3, F/G: Recent developments in mathematical studies of water waves – Part I/III Chair: John Carter 10:00–10:25 John Carter: Particle paths and transport properties of NLS and its generalizations 10:25–10:50 Ben Akers: Asymptotics and numerics for modulational instabilities of traveling waves 10:00–10:50 SESSION 24, Room Y/Z: Mathematical perspectives in quantum mechanics and quantum chemistry – Part I/III Chairs: Jianfeng Lu and Israel Michael Sigal 10:00–10:25 Christof Melcher: Spinning Landau-Lifschitz solitons - a quantum mechanical analogy 10:25–10:50 Benjamin Stamm: A perturbation-method-based post-processing of plane wave approximations for nonlinear Schoedinger operators 10:00–10:50 SESSION 25, Room E: Nonlinear waves, singularities, vortices, and turbulence in hydrodynamics, physical, and biological systems – Part I/VII Chairs: Alexander O. Korotkevich and Pavel Lushnikov 10:00–10:25 David Kaup: Optical phase-modulated nonlinear waves in a graphene waveguide 10:25–10:50 Bo Yang and Jianke Yang: Rogue waves in the nonlocal PT-symmetric nonlinear Schrodinger equation 10:00 - 10:50 SESSION 20, Room J: Dynamical systems and integrability – Part I/II Chairs: Nalini Joshi and Nobutaka Nakazono 10:00–10:25 Vladimir Dragovic and Milena Radnovic: Ellipsoidal Billiards and Chebyshev-type polynomials 10:25–10:50 Nalini Joshi, Christopher Lustri and Steven Luu: Hidden solutions of discrete systems
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