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Travelling waves for the Gross-Pitaevskii equation II

dc.contributor.authorBéthuel, Fabrice
dc.contributor.authorGravejat, Philippe
HAL ID: 812
dc.contributor.authorSaut, Jean-Claude
dc.date.accessioned2009-07-03T07:12:35Z
dc.date.available2009-07-03T07:12:35Z
dc.date.issued2009
dc.identifier.urihttps://basepub.dauphine.fr/handle/123456789/704
dc.descriptionFinal version accepted for publication in Communications in Mathematical Physics with a few minor corrections and added remarksen
dc.language.isoenen
dc.subjectGross-Pitaevksii equation; Travelling waves.en
dc.subject.ddc519en
dc.titleTravelling waves for the Gross-Pitaevskii equation IIen
dc.typeArticle accepté pour publication ou publié
dc.contributor.editoruniversityotherUniversité Paris Sud - Paris XI;France
dc.contributor.editoruniversityotherUniversité Pierre et Marie Curie - Paris VI;France
dc.description.abstractenThe 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.en
dc.relation.isversionofjnlnameCommunications in Mathematical Physics
dc.relation.isversionofjnlvol285en
dc.relation.isversionofjnlissue2en
dc.relation.isversionofjnldate2009-01
dc.relation.isversionofjnlpages567-651en
dc.relation.isversionofdoihttp://dx.doi.org/10.1007/s00220-008-0614-2en
dc.identifier.urlsitehttp://hal.archives-ouvertes.fr/hal-00187672/en/en
dc.description.sponsorshipprivateouien
dc.relation.isversionofjnlpublisherSpringeren
dc.subject.ddclabelProbabilités et Mathématiques appliquéesen


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