17–20 oct. 2023
LAAS
Fuseau horaire Europe/Paris

Global stabilization of the cubic defocusing nonlinear Schrödinger equation on the torus

18 oct. 2023, 16:30
1h
Salle de Conférence (LAAS)

Salle de Conférence

LAAS

Orateur

Kevin Le Balch

Description

In this talk, I will focus on the stabilization of defocusing nonlinear Schrödinger equations on manifolds, arising naturally as models of wave propagation in fiber optics. I will first recall local and semi-global results that have been obtained since the beginning of the 2000's. Then, I will introduce a method that I have developed in collaboration with Jérémy Martin to prove the (uniform) global stabilization of the cubic defocusing nonlinear Schrödinger equation on the d-dimensional torus, d=1, 2 or 3.

Documents de présentation

Aucun document.