Travelling waves for the Gross-Pitaevskii equation II

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dc.creatorBethuel, Fabrice
dc.creatorGravejat, Philippe
dc.creatorSaut, Jean-Claude
dc.date2007-11-15
dc.date2008-08-26
dc.date.accessioned2026-07-07T12:38:33Z
dc.date.available2026-07-07T12:38:33Z
dc.descriptionThe 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.
dc.descriptionFinal version accepted for publication in Communications in Mathematical Physics with a few minor corrections and added remarks
dc.identifierhttps://arxiv.org/abs/0711.2408
dc.identifierhttp://arxiv.org/abs/0711.2408
dc.identifierCommunications in Mathematical Physics 285, 2 (2009) 567-651
dc.identifierdoi:10.1007/s00220-008-0614-2
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/218796
dc.subjectAnalysis of PDEs
dc.subject35Q55, 35Q51
dc.titleTravelling waves for the Gross-Pitaevskii equation II
dc.typetext

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