Long time stability for cubic nonlinear Schrödinger equations on non-rectangular flat tori.

par Joackim Bernier (LMJL - Nantes Université)

mardi 9 avr. 2024, 14:00 → 16:15 Europe/Paris

Fokko (ICJ)

 I will present and discuss a result we recently proved with Nicolas Camps. We consider nonlinear Schrödinger equations on flat tori satisfying a simple and explicit Diophantine non-degeneracy condition. Provided that the nonlinearity contains a cubic term, we prove the almost global existence and stability of most of the small solutions in high regularity Sobolev spaces.