2019 Workshop on Nonlinear Dispersive Partial Differential Equations and Inverse Scattering

May 21 - 24, 2019, The Fields Institute

Description

This conference follows a three-week focus program in the same area which took place at the Fields Institute in August 2017, and is intended to bring together graduate students, postdoctoral researchers, and senior researchers working in four focus areas:

-Global well-posedness and soliton resolution for large and rough initial data
- Blow-up phenomena for critical dispersive equations
- Genericity of IST results for non-integrable PDE's
- Semiclassical limits for dispersive PDE's

Invited Speakers

Deniz Bilman

Robert Buckingham

Thomas Duyckaerts

Patrick Gérard

Tamara Grava

Slim Ibrahim

Michaela Ifrim

Robert Jenkins

Thomas Kappeler

Christian Klein

Jiaqi Liu

Ken McLaughlin

Tetsu Mizumachi

Didier Pilod

Barbara Prinari

Fabio Pusateri

Svetlana Roudenko

Jalal Shatah

Daniel Tataru

Alexander Tovbis

Thomas Trogdon

Eugene Wayne
Derchyi Wu

Yilun Wu

Download a full list of Talk Titles and Abstracts here!

Schedule

Tuesday, May 21st, 2019
09:05 to 09:15	Welcome from the Director of the Fields Institute Ian Hambleton Location:Fields Institute, Stewart Library
09:15 to 10:00	Multisoliton dynamics in 1-d cubic NLS Daniel Tataru, University of California Berkeley Location:Fields Institute, Stewart Library
10:00 to 10:20	Coffee Break
10:20 to 11:05	Semilinear wave equations outside a ball. Thomas Duyckaerts, Institut Galilée, Université Paris 13 Location:Fields Institute, Stewart Library
11:05 to 11:55	Global Existence and Singularity of the N-body Problem, a PDE approach Slim Ibrahim, University of Victoria Location:Fields Institute, Stewart Library
11:55 to 14:15	LUNCH
14:15 to 15:00	The construction and evaluation of shock wave solutions to the KdV equation and a linear KdV-like equation Tom Trogdon, University of California, Irvine Location:Fields Institute, Stewart Library
15:00 to 15:20	Coffee Break
15:20 to 16:05	Extreme Superposition: Rogue Waves of Infinite Order and the Painlevé-III Hierarchy Deniz Bilman, University of Michigan Location:Fields Institute, Stewart Library
16:05 to 16:50	Painlevé-III focusing in the nonlinear Schrodinger equation Robert Buckingham, University of Cincinnati Location:Fields Institute, Stewart Library
16:50 to 18:30	RECEPTION

Wednesday, May 22nd, 2019
09:15 to 10:00	Asymptotic Stability of the Toda $m$-soliton Eugene Wayne, Boston University Location:Fields Institute, Stewart Library
10:00 to 10:20	Coffee Break
10:20 to 11:05	On the integrability of the Benjamin-Ono equation with periodic boundary conditions, I: Spectral analysis of the Lax operator, trace formulas, and the Benjamin Ono hierarchy Thomas Kappeler, Universität Zurich Location:Fields Institute, Stewart Library
11:05 to 11:55	On the integrability of the Benjamin-Ono equation with periodic boundary conditions II. Lax pair for the BO hierarchy, finite gap potentials and global Birkhoff variables. Patrick Gérard, Université Paris-Sud Location:Fields Institute, Stewart Library
11:55 to 14:15	LUNCH
14:15 to 15:00	On the long time asymptotic of the modified KdV equation Tamara Grava, SISSA & Bristol Location:Fields Institute, Stewart Library
15:00 to 15:20	Coffee Break
15:20 to 16:15	Long-time asymptotics of the modified KdV equation Jiaqi Liu, University of Toronto Location:Fields Institute, Stewart Library
16:05 to 16:50	Rigorous Asymptotics for a KdV Soliton Gas Robert Jenkins, University of Central Florida Location:Fields Institute, Stewart Library
17:35	POSTER SESSION

Thursday, May 23rd, 2019
09:15 to 10:00	Wave Turbulence Theory Jalal Shatah, Courant Institute Location:Fields Institute, Stewart Library
10:00 to 10:20	Coffee Break
10:20 to 11:05	Dispersive decay of small data solutions for the KdV equation Mihaela Ifrim, University of Wisconsin–Madison Location:Fields Institute, Stewart Library
11:05 to 11:55	A proof of the Zakharov-Dyachenko conjecture for periodic gravity waver waves Fabio Pusateri, University of Toronto Location:Fields Institute, Stewart Library
11:55 to 14:15	LUNCH
14:15 to 15:00	Inverse Scattering Transform for the defocusing Ablowitz-Ladik equation with arbitrary nonzero background Barbara Prinari, University at Buffalo Location:Fields Institute, Stewart Library
15:00 to 15:20	Coffee Break
15:20 to 16:15	The Direct Problem of perturbed Kadomtsev-Petviashvili II 1-line solitons Derchyi Wu, Academia Sinica Location:Fields Institute, Stewart Library
16:05 to 16:50	An explicit Riemann-Hilbert characterization of periodic solutions of the KdV equation. Ken McLaughlin, Colorado State University Location:Fields Institute, Stewart Library
16:50 to 17:35	Soliton and breather gases for the focusing Nonlinear Schrödinger Equation (fNLS) Alexander Tovbis, University of Central Florida Location:Fields Institute, Stewart Library
17:35	POSTER SESSION

Friday, May 24th, 2019
09:15 to 10:00	Full family of flattening solitary waves for the mass critical generalized Korteweg-de Vries equation Didier Pilod, University of Bergen Location:Fields Institute, Stewart Library
10:00 to 10:20	Coffee Break
10:20 to 11:05	Stability of line solitary waves for some long wave models Tetsu Mizumachi, Hiroshima University Location:Fields Institute, Stewart Library
11:05 to 11:55	Numerical approaches for $\overline{\partial}$ problems Christian Klein, University of Burgundy Location:Fields Institute, Stewart Library
11:50 to 12:40	Asymptotic stability of solitary waves for the 3D quadratic Zakharov-Kuznetsov equation Justin Holmer Location:Fields Institute, Stewart Library

Registered Participants

Name	Affiliation
Anudeep Kumar Arora	Florida International University
Yakine Bahri	University of Victoria
Debdeep Bhattacharya	George Washington University
Deniz Bilman	University of Michigan
Craig Bolles	University of Michigan
Luccas Campos	Federal University of Minas Gerais
Fernando Cortez	Escuela Politécnica Nacional
Samir Donmazov	University of Kentucky
Thomas Duyckaerts	Institut Galilée, Université Paris 13
Patrick Gerard	Universite Paris-Sud
Manuela Girotti	John Abbott College / Colorado State University
Tamara Grava	SISSA & Bristol
Mihaela Ifrim	University of Wisconsin–Madison
Oscar Jarrin	Technique University of Ambato
Robert Jenkins	University of Central Florida
Adilbek Kairzhan	McMaster University
Thomas Kappeler	Universität Zurich
Christian Klein	University of Burgundy
Joel Klipfel	University of Kentucky
Sitai Li	University of Michigan
Jiaqi Liu	University of Toronto
Shi-Zhuo Looi	University of Kentucky
Bingying Lu	Academia Sinica
Ken McLaughlin	Colorado State University
Tetsu Mizumachi	Hiroshima University
Alexander Moll	Northeastern University
Assainova Olga	University of Burgundy
Jeffrey Oregero	University at Buffalo, SUNY
Peter Perry	University of Kentucky
Didier Pilod	University of Bergen
Barbara Prinari	University at Buffalo
Fabio Pusateri	University of Toronto
Tanushree Roy	University of Central Florida
Jean-Claude Saut	Université Paris-Sud
Jalal Shatah	Courant Institute
Catherine Sulem	University of Toronto
Daniel Tataru	University of California Berkeley
Alexander Tovbis	University of Central Florida
Thomas Trogdon	UC Irvine
Eugene Wayne	Boston University
Alfredo Wetzel	University of Wisconsin–Madison
Derchyi Wu	Institute of Mathematics, Academia Sinica, Taipei, Taiwan