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

Presented by: 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.

Abstract
Résumé

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.

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.

Received: 2002-11-27
Accepted: 2002-11-27
Published online: 2003-01-15

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

Author's affiliations:

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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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/

References
Cited by

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