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Asymptotic Models for Internal Waves

hal.structure.identifierDepartment of Mathematics, Statistics and Computer Science
dc.contributor.authorBONA, Jerry
hal.structure.identifierInstitut de Mathématiques de Bordeaux [IMB]
dc.contributor.authorLANNES, David
hal.structure.identifierLaboratoire de Mathématiques d'Orsay [LM-Orsay]
dc.contributor.authorSAUT, Jean-Claude
dc.date.accessioned2024-04-04T03:02:12Z
dc.date.available2024-04-04T03:02:12Z
dc.identifier.urihttps://oskar-bordeaux.fr/handle/20.500.12278/192957
dc.description.abstractEnWe derived here in a systematic way, and for a large class of scaling regimes, asymptotic models for the propagation of internal waves at the interface between two layers of immiscible fluids of different densities, under the rigid lid assumption and with a flat bottom. The full (Euler) model for this situation is reduced to a system of evolution equations posed spatially on $\R^d$, $d=1,2$, which involve two nonlocal operators. The different asymptotic models are obtained by expanding the nonlocal operators with respect to suitable small parameters that depend variously on the amplitude, wave-lengths and depth ratio of the two layers. We rigorously derive classical models and also some model systems that appear to be new. Furthermore, the consistency of these asymptotic systems with the full Euler equations is established.
dc.language.isoen
dc.title.enAsymptotic Models for Internal Waves
dc.typeDocument de travail - Pré-publication
dc.subject.halMathématiques [math]/Equations aux dérivées partielles [math.AP]
dc.subject.halPhysique [physics]/Physique [physics]/Physique Atmosphérique et Océanique [physics.ao-ph]
dc.identifier.arxiv0712.3920
bordeaux.hal.laboratoriesInstitut de Mathématiques de Bordeaux (IMB) - UMR 5251*
bordeaux.institutionUniversité de Bordeaux
bordeaux.institutionBordeaux INP
bordeaux.institutionCNRS
hal.identifierhal-00201083
hal.version1
hal.audienceNon spécifiée
hal.origin.linkhttps://hal.archives-ouvertes.fr//hal-00201083v1
bordeaux.COinSctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.au=BONA,%20Jerry&LANNES,%20David&SAUT,%20Jean-Claude&rft.genre=preprint


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