Workshop on Nonlinear Wave Equations
Description
Subject matter: Nonlinear microlocal analysis of evolution equations, the Boltzmann equation, kinetic equations (in general), statistical properties of Hamiltonian PDE
Abstract: There are numerous nonlinear evolution equations that have been derived in a context relevant to mathematical physics, for which it is a challenging mathematical problem to analyze the properties of the solution map for time evolution of the system. This workshop will focus on recent results on precise properties of solutions of the initial value problem, involving new techniques of harmonic and microlocal analysis for this purpose.
Principal questions include the well-posedness of the nonlinear equations, and in which function spaces, the precise regularity of solutions, and the phenomenon of the formation of singularities as compared with the possibility of globally defined evolution in time. One of the main themes will be the close analogy between microlocal techniques for linear PDE and the analysis of nonlinear kinetic equations, through a Wigner and/or a wave packet transform of the solution.
Speakers:
| Andrei Biryuk, McMaster & The Fields Institute | Frank Merle, Cergy Pontoise, IAS |
| Jerry Bona, University of Illinois - Chicago | Peter Miller, Michigan |
| Nicolas Burq, Paris-Sud | Andrea Nahmod, Massachusetts |
| Manoussos Grillakis, Maryland | Vladislav Panferov, Victoria |
| Stephen Gustafson, UBC | Guido Schneider, Karlsruhe |
| Slim Ibrahim, McMaster & The Fields Institute | Jalal Shatah, CIMS |
| Niky Kamran, McGill | Tai-Peng Tsai, UBC |
| Markus Keel, Minnesota | Luis Vega, Bilbao & IAS |
| David Lannes, Bordeaux | Stephanos Venakides, Duke |
| Felipe Linares, IMPA | Jared Wunsch, Northwestern |
| Michael Loss, Georgia Tech | Doug Wright, McMaster & The Fields Institute |
| Nader Masmoudi, CIMS | Zhengfang Zhou, MSU |
| Ken McLaughlin, UNC |
|
Schedule
| 09:30 to 10:15 |
Coffee and Registration
|
| 10:15 to 11:00 |
Jerry Lloyd Bona |
| 11:00 to 11:45 |
J. Douglas Wright, The Fields Institute |
| 11:45 to 12:30 |
Ken McLaughlin, Colorado State University |
| 12:30 to 14:30 |
Lunch Break
|
| 14:30 to 15:15 |
Nicolas Burq, Universite Paris-Sud |
| 15:15 to 16:00 |
No Title Specified
Lars Jonsson, KTH |
| 16:00 to 16:30 |
Afternoon Tea
|
| 09:30 to 10:15 |
Markus Keel, University of Minnesota |
| 10:15 to 11:00 |
Slim Ibrahim, University of Victoria |
| 11:00 to 11:15 |
Morning Coffee
|
| 11:15 to 12:00 |
Frank Merle, CY Cergy Paris University |
| 12:00 to 12:45 |
Niky Kamran |
| 12:45 to 14:30 |
Lunch Break
|
| 14:30 to 15:15 |
David Lannes, Ecole Normale Supérieure and Ecole normale supérieure - Paris |
| 15:15 to 16:00 |
No Title Specified
Jalal Shatah, Courant Institute and Courant Institute of Mathematical Sciences, NYU |
| 16:00 to 16:30 |
Afternoon Tea
|
| 09:30 to 10:15 |
Stephanos Venakides, Duke University |
| 10:15 to 11:00 |
Morawetz and Strichartz Estimates for the Schr¨odinger Equation on Nontrapping Three-Manifolds
Jared Wunsch, Northwestern University |
| 11:00 to 11:15 |
Morning Coffee
|
| 11:15 to 12:00 |
Zhenfang Zhou, Michigan State University |
| 12:00 to 12:45 |
Andrea Nahmod, University of Massachusetts Amherst |
| 12:45 to 14:30 |
Lunch Break
|
| 14:30 to 16:00 |
Open Discussion
|
| 16:00 to 16:30 |
Afternoon Tea
|
| 09:30 to 10:15 |
Stephen Gustafson, University of British Columbia |
| 10:15 to 11:00 |
Vladislav Panferov |
| 11:00 to 11:15 |
Morning Coffee
|
| 11:15 to 12:00 |
Felipe Linares, IMPA (Instituto Nacional de Matematica Pura e Aplicada, Brazil) |
| 12:00 to 12:45 |
Nader Masmoudi, Courant Institute and New York University |
| 12:45 to 14:30 |
Lunch Break
|
| 14:30 to 15:15 |
Tai-Peng Tsai, University of British Columbia |
| 15:15 to 16:00 |
Guido Schneider, Karlsruhe Institute of Technology |
| 16:00 to 16:30 |
Afternoon Tea
|
| 09:30 to 10:15 |
Michael Loss, Georgia Tech |
| 10:15 to 11:00 |
Peter Miller, University of Michigan |
| 11:00 to 11:15 |
Morning Coffee
|
| 11:15 to 12:00 |
Andrei Biryuk, Kuban State University and The Fields Institute |
| 12:00 to 12:45 |
Luis Vega, La Universidad del País Vasco |
| 12:45 to 14:30 |
Lunch Break
|
| 14:30 to 15:00 |
Open Discussion
|
| 15:00 to 15:30 |
Afternoon Tea
|
