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

Smooth branch of travelling waves in the Gross-Pitaevskii equation for small speed

22 mai 2018, 16:20
50m
Salle de Réunion - Bâtiment M2 (Laboratoire Paul Painlevé)

Salle de Réunion - Bâtiment M2

Laboratoire Paul Painlevé

Orateur

David Chiron

Description

We shall consider the Gross-Pitaevskii equation in the plane. This model is known to have a branch of travelling waves (the Jones-Roberts branch). Variational methods have already been used to yield existence results for this branch. Up to now, the question of smooth dependency with respect to the speed was not rigorously proved. We shall present a result showing the existence of a smooth branch for small speed. This is a joint work with Eliot Pacherie.

Documents de présentation

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