Orbital stability of the black soliton to the Gross-Pitaevskii equation

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dc.creatorBéthuel, Fabrice
dc.creatorGravejat, Philippe
dc.creatorSaut, Jean-Claude
dc.creatorSmets, Didier
dc.date2008-04-04
dc.date2009-02-09
dc.date.accessioned2026-07-07T12:38:35Z
dc.date.available2026-07-07T12:38:35Z
dc.descriptionWe establish the orbital stability of the black soliton, or kink solution, $\v_0(x) = þ\big(\frac{x}{\sqrt{2}} \big)$, to the one-dimensional Gross-Pitaevskii equation, with respect to perturbations in the energy space.
dc.descriptionFinal version published in Indiana University Mathematics Journal
dc.identifierhttps://arxiv.org/abs/0804.0746
dc.identifierhttp://arxiv.org/abs/0804.0746
dc.identifierIndiana University Mathematics Journal 57, 6 (2008) 2611-2642
dc.identifierdoi:10.1512/iumj.2008.57.3632
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/218807
dc.subjectAnalysis of PDEs
dc.subject35B35, 35Q40, 35Q55
dc.titleOrbital stability of the black soliton to the Gross-Pitaevskii equation
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