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Book of Abstracts BOOK OF ABSTRACTS THE TENTH IMACS INTERNATIONAL CONFERENCE ON NONLINEAR EVOLUTION EQUATIONS AND WAVE PHENOMENA: COMPUTATION AND THEORY Athens, Georgia March 29 - April 01, 2017 Sponsored by The International Association for Mathematics and Computers in Simulation (IMACS) The Computer Science Department, U GA Edited by: Thiab Taha Sponsors Keynote Speakers International Association for Mathematics Gino Biondini: Singular Asymptotics for and Computers in Simulation (IMACS) Nonlinear Waves" Computer Science Department at UGA Nathan Kutz: Data-driven Discovery of Nonlinear Wave Equations" Thierry Colin: A hierarchy of nonlinear models for tumor growth and clinical applications" Conference Organization R. Vichnevetsky (USA), Honorary President of IMACS, Honorary Chair T. Taha (USA), General Chair & Conference Coordinator J. Bona (USA), Co-chair Scientific Program Committee Mark Ablowitz (USA) Willy Hereman (USA) Nail Akhmediev(Australia) Alex Himonas (USA) David Amrbrose (USA) Mat Johnson (USA) Stephen Anco(Canada) Pedro Jordan (USA) Andrea Barreiro(USA) Nalini Joshi(Australia) Gino Biondini (USA) Kenji Kajiwara(Japan) Lorena Bociu (USA) Henrik Kalisch (Norway) Jerry Bona (USA) David Kaup (USA) Robert Buckingham (USA) Panayotis Kevrekidis (USA) Annalisa Calini (USA) Alexander Korotkevic (USA) Ricardo Carretero (USA) Gregor Kovacic (USA) Mathieu Colin (France) Stephane Lafortune (USA) Thierry Colin (France) Yuri Latushkin (USA) John Carter (USA) Zhiwu Lin (USA) Min Chen (USA) Yue Liu (USA) Ming Chen (USA) Andrei Ludu (USA) Demetrios Christodoulides (USA) Pavel Lushnikov (USA) Christopher Curtis (USA) K. G. Makris (Greece) Bernard Deconinck (USA) Dionyssis Mantzavions(USA) Vassilios Dougalis (Greece) Peter Miller (USA) Anton Dzhamay (USA) Dimitrios Mitsotakis(USA) Hassan Fathallah (USA) Ziad Musslimani (USA) Bao-feng Feng (USA) Remus Mihai Osan(USA) Thanasis Fokas (UK) Robert Pego (USA) Anna Ghazaryan(USA) Beatrice Pelloni (UK) Unal Goktas(Turkey) Barbara Prinari (USA) Zaher Hani(USA) Zhijun Qiao (George) (USA) Scientific Program Committee (Continue) Changzheng Qu (China) Thiab Taha (USA) Milena Radnovic (Australia) Michail Todorov(Bulgaria) Xu Runzhang (China) Muhammad Usman (USA) Constance Schober (USA) Jianke Yang (USA) Natalie Sheils (USA) Chongchun Zeng (USA) Israel Michael Sigal (Canada) Organized Sessions 1. Jerry Bona, Min Chen, Dimitrios Mitsotakis, Shenghao Li, "Nonlinear Waves" 2. Anton Dzhamay, Virgil Pierce, and Chris Ormerod, "Painleve Equations, Integrable Systems, and Random Matrices” 3. Alex Himonas, Curtis Holliman and Dionyssis Mantzavinos, "Evolution Equations and Integrable Systems" 4. David Kaup, Constance Schober, and Thomas Vogel, "Applied Nonlinear Waves" 5. Andrei Ludu and Michail Todorov, "Solitary and Rogue Waves as Solutions of Generalized Schrodinger Equations. Achievements and Challenges" 6. Nalini Joshi, Christopher Lustri, Nobutaka Nakazono, Milena Radnovic and Yang Shi, "Discrete integrable systems" 8. Unal Goktas and Muhammad Usman, “Analytical and computational methods to study nonlinear partial differential equations” 9. Ricardo Carretero and Panos Kevrekidis,"Nonlinear Schrodinger Models and Applications" 11. Yuri Latushkin and Sam Walsh, "Traveling waves and spectral theory" 12. Anna Ghazaryan and Stephane Lafortune, "Wave phenomena in combustion" 13. Pedro Jordan, "Nonlinear Wave Phenomena in Continuum Physics: Some Recent Findings" 14. Baofeng Feng,Kenji Kajiwara, Annalisa Calini, "Integrable systems and the geometry of curves and surfaces" 15. Robert Buckingham and Peter Miller, "Asymptotics and Applied Analysis" 16. John Carter and Henrik Kalish, "Nonlocal and full-dispersion model equations in in fluid mechanics" 17. David Ambrose and Gideon Simpson, "Analysis of numerical methods for dispersive and fluid equations" 18. Alexander Korotkevich and Pavel Lushnikov, "Nonlinear waves, dynamics of singularities, and turbulence in hydrodynamics, physical, and biological systems" 19. Xu Runzhang, "Functional analysis and PDEs" 20. Mathieu Colin and Tatsuya Watanabe, "Stability properties for nonlinear dispersive equations" 21. Vassilis Rothos and Eftathios Charalampidis, "Nonlinear Waves: Mathematical Methods and Applications" 22. Stephen Gustafson, Israel Michael Sigal, Avy Soffer, "Nonlinear evolution equations of quantum physics and their topological solutions" 23. Brad Shadwick, Antoine Cerfon, Bedros Afeyan, "Waves and Instabilities in Vlasov plasmas" 24. Wooyoung Choi,Ricardo Barros, "Surface and Internal Waves and their Interaction" 25. Andrea Barreiro, Katherine Newhall, Remus Osan, Pamela Pyzza , "Nonlinear dynamics in mathematical biology and neuroscience" PROGRAM AT A GLANCE WEDNESDAY, MARCH 29TH, 2017 Mahler Room Q Room R Room J Room F/G Room E Room C 8:00- 8:30 WELCOME 8:30 – 9:30 Keynote 1: Gino Biondini 9:30 – 10:00 COFFEE BREAK 10:00 – 10:50 S3_I/VI S15_I/VI PAPERS S20_I/II S11_I/IV S17_I/II 10:55 – 12:10 S3_II/VI S15_II/VI S6_I/III S17_II/II S21_I/III PAPERS 12:10 – 1:40 LUNCH IN MAGNOLIA BALL ROOM 1:40 – 3:20 S3_III/VI S1_I/II S25_I/V S20_II/II S11_II/IV PAPERS 3:20 – 3:50 COFFEE BREAK 3:50 – 5:55 S3_IV/VI S1_II/II S25_II/V S22_I/II S6_II/III S19_I/I S4_I/I THURSDAY, MARCH 30TH, 2017 Mahler Room Q Room R Room J Room F/G Room E Room C 8:00- 9:00 Keynote 2: T. Colins 9:10 – 10:00 S21_II/III S15_III/VI S16_I/IV S2_I/III S18_I/V S24_I/II S25_III/V 10:00 – 10:30 COFFEE BREAK 10:30 – 12:10 S3_V/VI S9_I/II S16_II/IV S2_II/III S18_II/V S11_III/IV S25_IV/V 12:10 – 1:40 LUNCH (attendees on their own) 1:40 – 3:20 S3_VI/VI S15_IV/VI S11_IV/IV S2_III/III S18_III/V S24_II/II 3:20 – 3:50 COFFEE BREAK 3:50 – 5:55 S14_I/II S13_I/II S5_I/III S25_V/V S6_III/III S9_II/II S21_III/III 5:00 – 7:00 pm POSTERS Hill Atrium, outside of Mahler 7:00 – 9:00 Conf. Banquet (including student papers awards) FRIDAY, MARCH 31ST, 2017 Mahler Room Q Room R Room J Room F/G Room E Room C 8:00- 9:00 Keynote 3: Nathan Kutz 9:10 – 10:00 S15_V/VI S18_IV/V S16_III/IV S5_II/III S23_I/IV S12_I/II S08_I/II 10:00 – 10:30 COFFEE BREAK 10:30– 12:10 S15_VI/VI S14_II/II S16_IV/IV S8_I/II S23_II/IV S13_II/II S12_II/II-1 12:10 – 1:40 LUNCH (attendees on their own) 1:40 – 3:20 S18_V/V S5_III/III S22_II/II S23_III/IV 3:20 – 3:50 COFFEE BREAK 3:50 – 5:55 S23_IV/IV 1 PROGRAM TUESDAY, MARCH 28, 2017 5:00 – 6:00 REGISTRATION 5:00 – 7:00 RECEPTION WEDNESDAY, MARCH 29, 2017 7:30 – 9:30 REGISTRATION 8:00 – 8:30 WELCOME Thiab Taha/Program Chair and Conference Coordinator Pamela Written/Senior Vice President for Academic Affairs & Provost at UGA. Event Manager/Georgia Center 8:30 – 9:30 KEYNOTE LECTURE I, Mahler: Gino Biodini: Singular Asymptotics for Nonlinear Waves CHAIR: THIAB TAHA 9:30 – 10:00 COFFEE BREAK 10:00 – 10:50 SESSION 3, Mahler: Evolution Equations and Integrable Systems – Part I/VI CHAIRS: HIMONAS, CURTIS HOLLIMAN AND DIONYSSIS MANTZAVINOS, 10:00 – 10:25 Panayotis Kevrekidis: From Discrete Solitons to Discrete Breathers and to Lattice Traveling Waves: A Discussion of Spectral Stability and Associated Criteria 10:25 – 10:50 Nikolaos Tzirakis: Well posedness theory for nonlinear dispersive equations on the half line 10:00 – 10:50 SESSION 15, Room Q: Asymptotics and Applied Analysis – Part I/VI CHAIRS: ROBERT BUCKINGHAM AND PETER MILLER 10:00 – 10:25: Peter Perry: Global Existence and Asymptotics for the Derivative Non-Linear Schr\"{o}dinger Equation in One Dimension 10:25 – 10:50: Anton Dzhamay: Rational Mapping Factorization and Tau-functions of Discrete Painlevé Equations 10:00 – 10:50 PAPERS, Room R: CHAIRS: 10:00 – 10:25 Matthew Tranter and Karima Khusnutdinova: Scattering of nonlinear bulk strain waves in delaminated bars 10:25 – 10:50: Martin Klaus: Eigenvalue asymptotics for Zakharov-Shabat systems with long-range Potentials 10:00 – 10:50 SESSION 20, Room J: Stability properties for nonlinear dispersive equations – Part I/II CHAIRS: MATHIEU COLIN 10:00 – 10:25 Dmitry Pelinovsky: Transverse stability of periodic waves in the Kadomtsev-Petviashvili -II equation 10:25 – 10:50 Tatsuya Watanabe: Standing waves for the nonlinear Schrodinger equation coupled with the Maxwell equation 2 10:00 – 10:50 SESSION 11, Room F/G: Traveling Waves and Spectral Theory – Part I/IV CHAIRS: YURI LATUSHKIN AND SAM WALSH 10:00 – 10:25 Jared Bronski, Robert Marangell and Mat Johnson: Modulational stability of quasiperiodic solutions of Hamiltonian PDE 10:25 – 10:50 Atanas Stefanov: Traveling waves for the mass-in-mass model of granular chains 10:00 – 10:50 SESSION 17, Room E: Analysis of numerical methods for dispersive and fluid equations – Part I/II CHAIRS: DAVID AMBROSE AND GIDEON SIMPSON 10:00 – 10:25 Gideon Simpson: Adaptive Methods for Derivative Nonlinear Schrödinger Equations 10:25 – 10:50 Leo Rebholz: On conservation laws of Navier-Stokes Galerkin discretizations 10:55 – 12:10 SESSION 3, Mahler: Evolution Equations and Integrable Systems – Part II/VI CHAIRS: ALEX HIMONAS, CURTIS HOLLIMAN AND DIONYSSIS MANTZAVINOS, 10:55 – 11:20 Karen Yagdjian: Integral transform approach to evolution equations in the curved spacetime 11:20 – 11:45 Alex Himonas: Well-posedness of evolutions equations via the unified transform method 11:45 – 12:10 Curtis Holliman: Well-Posedness for a Modified NLS equation 10:55 – 12:10 SESSION 15, Room Q: Asymptotics and Applied Analysis – Part II/VI CHAIRS: ROBERT BUCKINGHAM AND PETER MILLER 10:55 – 11:20 Marco Bertola, Alexander Tovbis: Maximal amplitude formula for the finite gap (quasiperiodic) solutions to the focusin NLS and its applications to large amplitude (rogue) waves 11:20 – 11:45 Christopher Ormerod:
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