Nonlinear phenomena in dispersive equations
The study of dispersive equations is a major research topic for the analysis of nonlinear PDEs. The main challenge is the understanding of the mechanisms that govern the evolution of solutions of nonlinear equations arising in physics. The questions are multiple and the techniques and methods that are used are very different.
The goal of this conference is to bring together researchers from various thematic communities, all of whom are confronted with the analysis of dispersive PDEs. For this purpose, the program will consist of 14 lectures and 2 mini-courses over 4 days, letting time for scientific exchanges between the participants.
As an illustration of the plurality of topics covered, two mini-courses will be given: one by Yvan Martel from École Polytechnique, concerning the interactions of solitary waves for the nonlinear Schrödinger equation, and the other one by Valeria Banica from Université Pierre-et-Marie-Curie, concerning the dynamics of the vortex filaments in an incompressible non-viscous fluid.