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GLOBAL EXISTENCE FOR NAVIER-STOKES SYSTEM WITH STRONG DISSIPATION IN ONE DIRECTION

hal.structure.identifierInstitut de Mathématiques de Bordeaux [IMB]
dc.contributor.authorPAICU, Marius
hal.structure.identifierAcadémie Chinoise des Sciences
dc.contributor.authorZHANG, Ping
dc.date.accessioned2024-04-04T02:55:40Z
dc.date.available2024-04-04T02:55:40Z
dc.date.issued2019
dc.identifier.issn1674-7283
dc.identifier.urihttps://oskar-bordeaux.fr/handle/20.500.12278/192386
dc.description.abstractEnWe consider the 3D incompressible Navier-Stokes equations with different vis-cous coefficients in each variables. In particular, when one of this viscous coefficient is large enough compared to the initial data, we prove the global well-posedness of this problem. More generally, we obtain the existence of a global strong solution when the initial data verify an anisotropic smallness condition which take into account the different role of the horizontal and vertical viscosity.
dc.language.isoen
dc.publisherScience China Press
dc.title.enGLOBAL EXISTENCE FOR NAVIER-STOKES SYSTEM WITH STRONG DISSIPATION IN ONE DIRECTION
dc.typeArticle de revue
dc.identifier.doi10.1007/s11425-018-9504-1
dc.subject.halPhysique [physics]/Mécanique [physics]/Mécanique des fluides [physics.class-ph]
bordeaux.journalScience China Mathematics
bordeaux.hal.laboratoriesInstitut de Mathématiques de Bordeaux (IMB) - UMR 5251*
bordeaux.institutionUniversité de Bordeaux
bordeaux.institutionBordeaux INP
bordeaux.institutionCNRS
bordeaux.peerReviewedoui
hal.identifierhal-02501796
hal.version1
hal.popularnon
hal.audienceInternationale
hal.origin.linkhttps://hal.archives-ouvertes.fr//hal-02501796v1
bordeaux.COinSctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.jtitle=Science%20China%20Mathematics&rft.date=2019&rft.eissn=1674-7283&rft.issn=1674-7283&rft.au=PAICU,%20Marius&ZHANG,%20Ping&rft.genre=article


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