Title :

Non-existence for travelling waves with small energy for the Gross–Pitaevskii equation in dimension $N\geq 3$

Author(s) :

De Laire, André [Auteur]
Méthodes quantitatives pour les modèles aléatoires de la physique [MEPHYSTO-POST]
Laboratoire Paul Painlevé - UMR 8524 [LPP]

Journal title :

Comptes Rendus. Mathématique

Pages :

375-380

Publisher :

Académie des sciences (Paris)

Publication date :

2009-04

ISSN :

1631-073X

HAL domain(s) :

Mathématiques [math]/Equations aux dérivées partielles [math.AP]

English abstract : [en]

We prove that the Ginzburg–Landau energy of non-constant travelling waves of the Gross–Pitaevskii equation has a lower positive bound, depending only on the dimension, in any dimension larger or equal to three. In particular, ...
Show more >We prove that the Ginzburg–Landau energy of non-constant travelling waves of the Gross–Pitaevskii equation has a lower positive bound, depending only on the dimension, in any dimension larger or equal to three. In particular, we conclude that there are no non-constant travelling waves with small energy. To cite this article: A. de Laire, C. R. Acad. Sci. Paris, Ser. I 347 (2009).Show less >

Language :

Anglais

Popular science :

Non

Collections :

• Laboratoire Paul Painlevé - UMR 8524

Source :

Harvested from HAL