On the linear wave regime of the Gross-Pitaevskii equation

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dc.creatorBethuel, Fabrice
dc.creatorDanchin, Raphael
dc.creatorSmets, Didier
dc.date2008-09-22
dc.date2008-09-23
dc.date.accessioned2026-07-07T10:04:17Z
dc.date.available2026-07-07T10:04:17Z
dc.descriptionWe study a long wave-length asymptotics for the Gross-Pitaevskii equation corresponding to perturbation of a constant state of modulus one. We exhibit lower bounds on the first occurence of possible zeros (vortices) and compare the solutions with the corresponding solutions to the linear wave equation or variants. The results rely on the use of the Madelung transform, which yields the hydrodynamical form of the Gross-Pitaevskii equation, as well as of an augmented system.
dc.identifierhttps://arxiv.org/abs/0809.3512
dc.identifierhttp://arxiv.org/abs/0809.3512
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/169616
dc.subjectAnalysis of PDEs
dc.subject35Q55; 35B35
dc.titleOn the linear wave regime of the Gross-Pitaevskii equation
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