On the dispersive method of solving dispersive partial differential equations
Speaker: Luong Thai Hung

Thời gian: 9h30, Tuesday October 6, 2020

Location: Room 302, Building A5

Abstract: Dispersive equation is a very wide and important class of the Partial differential equations (PDEs), which contains many famous equations namely the Schroedinger equation in quantum physics and nonlinear optics, the  Korteweg-de Vries (KdV) equation  in the problem of water wave,... Each equation of this class has a dispersion relation which describe the fact that different Fourier modes travel at different speeds and thus the wave packets tend to disperse. The dispersive equations have been studied extensively and the most effective tool is using the dispersive estimates given by looking closely to its dispersive part. In this talk, I present the general scheme of using this method and give a closer view with two typical examples of the nonlinear Schroedinger equation and the (a,b,c,d) Boussinesq system.