Speaker
Joackim Bernier
(Université de Nantes)
Description
Focusing on the case of nonlinear Schrödinger equations on the circle, I will explain why it is interesting and natural to look for almost periodic solutions for nonlinear dispersive equations on bounded domains, and why one can expect such solutions to be typical among small and smooth solutions. The point is to understand whether most small solutions of the nonlinear equation behave globally in time like those of the linear equation. I will present some recent results on the topic.