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dc.contributor.authorLIU, Yanlin
hal.structure.identifierInstitut de Mathématiques de Bordeaux [IMB]
dc.contributor.authorPAICU, Marius
hal.structure.identifierAcadémie Chinoise des Sciences
dc.contributor.authorZHANG, Ping
dc.date2020
dc.date.accessioned2024-04-04T02:55:40Z
dc.date.available2024-04-04T02:55:40Z
dc.date.issued2020
dc.identifier.issn0003-9527
dc.identifier.urihttps://oskar-bordeaux.fr/handle/20.500.12278/192387
dc.description.abstractEnIn [15], the authors proved that as long as the one-directional derivative of the initial velocity is sufficiently small in some scaling invariant spaces, then the classical Navier-Stokes system has a global unique solution. The goal of this paper is to extend this type of result to the 3-D anisotropic Navier-Stokes system (AN S) with only horizontal dissipation. More precisely, given initial data u0 = (u h 0 , u 3 0) ∈ B 0, 1 2 , (AN S) has a unique global solution provided that |D h | −1 ∂3u0 is sufficiently small in the scaling invariant space B 0, 1 2 .
dc.language.isoen
dc.publisherSpringer Verlag
dc.subject.enAnisotropic Navier-Stokes system
dc.subject.enwell-posedness
dc.subject.enLittlewood-Paley theory
dc.title.enGLOBAL WELL-POSEDNESS OF 3-D ANISOTROPIC NAVIER-STOKES SYSTEM WITH SMALL UNIDIRECTIONAL DERIVATIVE
dc.typeArticle de revue
dc.subject.halPhysique [physics]/Mécanique [physics]/Mécanique des fluides [physics.class-ph]
bordeaux.journalArchive for Rational Mechanics and Analysis
bordeaux.hal.laboratoriesInstitut de Mathématiques de Bordeaux (IMB) - UMR 5251*
bordeaux.institutionUniversité de Bordeaux
bordeaux.institutionBordeaux INP
bordeaux.institutionCNRS
bordeaux.peerReviewedoui
hal.identifierhal-02501795
hal.version1
hal.popularnon
hal.audienceInternationale
hal.origin.linkhttps://hal.archives-ouvertes.fr//hal-02501795v1
bordeaux.COinSctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.jtitle=Archive%20for%20Rational%20Mechanics%20and%20Analysis&rft.date=2020&rft.eissn=0003-9527&rft.issn=0003-9527&rft.au=LIU,%20Yanlin&PAICU,%20Marius&ZHANG,%20Ping&rft.genre=article


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