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dc.contributor.authorDalibard, Anne-Laure
dc.date.accessioned2010-02-12T09:11:47Z
dc.date.available2010-02-12T09:11:47Z
dc.date.issued2009
dc.identifier.urihttps://basepub.dauphine.fr/handle/123456789/3434
dc.language.isoenen
dc.subjectOceanic circulationen
dc.subjectStationary settingen
dc.subjectRotating fluidsen
dc.subjectBoundary layeren
dc.subject.ddc519en
dc.titleAsymptotic behaviour of a rapidly rotating fluid with random stationary surface stressen
dc.typeArticle accepté pour publication ou publié
dc.contributor.editoruniversityotherEcole Normale Supérieure de Paris;France
dc.description.abstractenThe goal of this paper is to describe in mathematical terms the effect on the ocean circulation of a random stationary wind stress at the surface of the ocean. In order to avoid singular behaviour, non-resonance hypotheses are introduced, which ensure that the time frequencies of the wind-stress are different from that of the Earth rotation. We prove a convergence result for a three-dimensional Navier-Stokes-Coriolis system in a bounded domain, in the asymptotic of fast rotation and vanishing vertical viscosity, and we exhibit some random and stationary boundary layer profiles. At last, an average equation is derived for the limit system in the case of the non-resonant torus.en
dc.relation.isversionofjnlnameSIAM Journal on Mathematical Analysis
dc.relation.isversionofjnlvol41
dc.relation.isversionofjnlissue2
dc.relation.isversionofjnldate2009
dc.relation.isversionofjnlpages511-563
dc.relation.isversionofdoihttp://dx.doi.org/10.1137/080718139
dc.identifier.urlsitehttp://hal.archives-ouvertes.fr/hal-00260396/en/en
dc.description.sponsorshipprivateouien
dc.relation.isversionofjnlpublisherSIAM
dc.subject.ddclabelProbabilités et mathématiques appliquéesen


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