| dc.contributor.author | Béthuel, Fabrice | |
| dc.contributor.author | Gravejat, Philippe | |
| dc.contributor.author | Saut, Jean-Claude | |
| dc.date.accessioned | 2009-06-23T16:13:44Z | |
| dc.date.available | 2009-06-23T16:13:44Z | |
| dc.date.issued | 2008 | |
| dc.identifier.uri | https://basepub.dauphine.fr/handle/123456789/432 | |
| dc.language.iso | en | en |
| dc.subject | Gross-Pitaevskii equation | en |
| dc.subject | travelling wave | en |
| dc.subject | Kadomtsev-Petviashvili equation | en |
| dc.subject.ddc | 519 | en |
| dc.title | Existence and properties of travelling waves for the Gross-Pitaevskii equation | en |
| dc.type | Chapitre d'ouvrage | |
| dc.contributor.editoruniversityother | Université d'Orsay, Paris XI;France | |
| dc.contributor.editoruniversityother | Université Pierre et Marie Curie, Paris;France | |
| dc.description.abstracten | This paper presents recent results concerning the existence and qualitative properties of travelling wave solutions to the Gross-Pitaevskii equation posed on the whole space R^N. Unlike the defocusing nonlinear Schrödinger equations with null condition at infinity, the presence of non-zero conditions at infinity yields a rather rich and delicate dynamics. We focus on the case N = 2 and N = 3, and also briefly review some classical results on the one-dimensional case. The works we survey provide rigorous justifications to the impressive series of results which Jones, Putterman and Roberts established by formal and numerical arguments. | en |
| dc.relation.ispartofseriestitle | Contemporary Mathematics | en_US |
| dc.relation.ispartoftitle | Stationary and time dependent Gross-Pitaevskii equations | en |
| dc.relation.ispartofeditor | A. Farina and J.-C. Saut | |
| dc.relation.ispartofpublname | American Mathematical Society | en |
| dc.relation.ispartofpublcity | Providence, R.I. | en |
| dc.relation.ispartofdate | 2008-12 | |
| dc.relation.ispartofpages | 55-104 | en |
| dc.identifier.urlsite | http://hal.archives-ouvertes.fr/hal-00363329/en/ | en |
| dc.description.sponsorshipprivate | oui | en |
| dc.subject.ddclabel | Probabilités et mathématiques appliquées | en |
| dc.relation.ispartofisbn | 978-0-8218-4357-4 | en |
