Thumbnail - No thumbnail

Travelling waves for the Gross-Pitaevskii equation II

Béthuel, Fabrice; Gravejat, Philippe; Saut, Jean-Claude (2009), Travelling waves for the Gross-Pitaevskii equation II, Communications in Mathematical Physics, 285, 2, p. 567-651. http://dx.doi.org/10.1007/s00220-008-0614-2

Type
Article accepté pour publication ou publié
Lien vers un document non conservé dans cette base
http://hal.archives-ouvertes.fr/hal-00187672/en/
Date
2009
Nom de la revue
Communications in Mathematical Physics
Volume
285
Numéro
2
Éditeur
Springer
Pages
567-651
Identifiant publication
Métadonnées
Afficher la notice complète
Auteur(s)
Béthuel, Fabrice
Gravejat, Philippe
Saut, Jean-Claude
Résumé (EN)
The purpose of this paper is to provide a rigorous mathematical proof of the existence of travelling wave solutions to the Gross-Pitaevskii equation in dimensions two and three. Our arguments, based on minimization under constraints, yield a full branch of solutions, and extend earlier results, where only a part of the branch was built. In dimension three, we also show that there are no travelling wave solutions of small energy.
Mots-clés
Gross-Pitaevksii equation; Travelling waves.