22–25 mai 2018
Laboratoire Paul Painlevé
Fuseau horaire Europe/Paris

A rigidity result for the Camassa-Holm equation

23 mai 2018, 14:30
50m
Salle de Réunion - Bâtiment M2 (Laboratoire Paul Painlevé)

Salle de Réunion - Bâtiment M2

Laboratoire Paul Painlevé

Orateur

Luc Molinet

Description

The Camassa-Holm equation possesses peaked solitary waves called peakons. We prove a Liouville property for uniformly almost localized (up to translations) $H^1$-global solutions of the Camassa-Holm equation with a momentum density that is a non negative finite measure. More precisely, we show that such solution has to be a peakon. As a consequence, we prove that peakons are asymptotically stable in the class of $H^1$-functions with a momentum density that is a non negative finite measure.

Documents de présentation

Aucun document.