
Thematic Program in Partial Differential Equations
March 1519, 2004
Workshop on Nonlinear Wave Equations
Organizing Committee:
C. Bardos, J. Colliander, W. Craig (Chair), N. Ercolani, C. Sulem
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 wellposedness 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, ParisSud 
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 
TaiPeng 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 




