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Uniform local existence for inhomogeneous rotating fluid equations

dc.contributor.authorMAJDOUB, Mohamed
hal.structure.identifierInstitut de Mathématiques de Bordeaux [IMB]
dc.contributor.authorPAICU, Marius
dc.date.accessioned2024-04-04T02:17:18Z
dc.date.available2024-04-04T02:17:18Z
dc.date.issued2009
dc.identifier.urihttps://oskar-bordeaux.fr/handle/20.500.12278/189217
dc.description.abstractEnWe investigate the equations of anisotropic incompressible viscous fluids in $\R^3$, rotating around an inhomogeneous vector $B(t, x_1, x_2)$. We prove the global existence of strong solutions in suitable anisotropic Sobolev spaces for small initial data, as well as uniform local existence result with respect to the Rossby number in the same functional spaces under the additional assumption that $B = B(t, x_1)$ or $B = B(t, x_2)$. We also obtain the propagation of the isotropic Sobolev regularity using a new refined product law.
dc.language.isoen
dc.title.enUniform local existence for inhomogeneous rotating fluid equations
dc.typeArticle de revue
dc.subject.halPhysique [physics]/Mécanique [physics]/Mécanique des fluides [physics.class-ph]
dc.subject.halSciences de l'ingénieur [physics]/Mécanique [physics.med-ph]/Mécanique des fluides [physics.class-ph]
bordeaux.journalJ. Dynam. Differential Equations
bordeaux.page21-44
bordeaux.volume21
bordeaux.hal.laboratoriesInstitut de Mathématiques de Bordeaux (IMB) - UMR 5251*
bordeaux.issue1
bordeaux.institutionUniversité de Bordeaux
bordeaux.institutionBordeaux INP
bordeaux.institutionCNRS
bordeaux.peerReviewedoui
hal.identifierhal-00994730
hal.version1
hal.popularnon
hal.audienceInternationale
hal.origin.linkhttps://hal.archives-ouvertes.fr//hal-00994730v1
bordeaux.COinSctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.jtitle=J.%20Dynam.%20Differential%20Equations&rft.date=2009&rft.volume=21&rft.issue=1&rft.spage=21-44&rft.epage=21-44&rft.au=MAJDOUB,%20Mohamed&PAICU,%20Marius&rft.genre=article


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