Modul:   MAT675  PDE and Mathematical Physics

High frequency approximation of solutions of the Benjamin-Ono equation on the torus

Talk by Prof. Dr. Patrick Gérard

Speaker invited by: Prof. Dr. Thomas Kappeler

Date: 23.09.21  Time: 18.00 - 19.30  Room: Y27H35/36

Abstract : The Benjamin-Ono equation is a well-known example of an integrable nonlinear dispersive equation in one space dimension. For solutions with periodic boundary conditions, I will discuss the link in the high frequency regime between the nonlinear Fourier transform inherited from the integrable structure, and a gauge transform introduced by T. Tao in 2004. As an application, we will get optimal high frequency approximations of solutions. This talk is based on a recent joint work with T. Kappeler and P. Topalov.