Limit at infinity for travelling waves in the Gross–Pitaevskii equation

Philippe Gravejat

doi:10.1016/S1631-073X(03)00007-4

Partial Differential Equations

Limit at infinity for travelling waves in the Gross–Pitaevskii equation
[Limite à l'infini des ondes progressives dans l'équation de Gross–Pitaevskii]

Présenté par : Haïm Brèzis

Philippe Gravejat ¹

¹ Laboratoire Jacques-Louis Lions, Université Pierre et Marie Curie (Paris-6), BC 187, 4, place Jussieu, 75252 Paris cedex 05, France

Comptes Rendus. Mathématique, Volume 336 (2003) no. 2, pp. 147-152.

Résumé
Abstract

Nous étudions la limite à l'infini des ondes progressives d'énergie finie dans l'équation de Gross–Pitaevskii en dimension supérieure ou égale à trois et nous montrons leur convergence uniforme vers une constante de module un.

We study the decay of the travelling waves of finite energy in the Gross–Pitaevskii equation in dimension greater than three and prove their uniform convergence to a constant of modulus one at infinity.

Reçu le : 2002-11-27
Accepté le : 2002-11-27
Publié le : 2003-01-15

DOI : 10.1016/S1631-073X(03)00007-4

Affiliations des auteurs :

Philippe Gravejat ¹

¹ Laboratoire Jacques-Louis Lions, Université Pierre et Marie Curie (Paris-6), BC 187, 4, place Jussieu, 75252 Paris cedex 05, France

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     title = {Limit at infinity for travelling waves in the {Gross{\textendash}Pitaevskii} equation},
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Philippe Gravejat. Limit at infinity for travelling waves in the Gross–Pitaevskii equation. Comptes Rendus. Mathématique, Volume 336 (2003) no. 2, pp. 147-152. doi : 10.1016/S1631-073X(03)00007-4. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/S1631-073X(03)00007-4/

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