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hal.structure.identifierLaboratoire Jacques-Louis Lions [LJLL]
dc.contributor.authorCHEMIN, Jean-Yves
hal.structure.identifierInstitut de Mathématiques de Bordeaux [IMB]
dc.contributor.authorPAICU, Marius
hal.structure.identifierAcademy of Mathematics and Systems Science [AMSS]
dc.contributor.authorZHANG, Ping
dc.date.accessioned2024-04-04T02:17:27Z
dc.date.available2024-04-04T02:17:27Z
dc.date.issued2014
dc.identifier.issn0022-0396
dc.identifier.urihttps://oskar-bordeaux.fr/handle/20.500.12278/189229
dc.description.abstractEnUnder a nonlinear smallness condition on the isotropic critical Besov norm to the fluctuation of the initial density and the critical anisotropic Besov norm of the horizontal components of the initial velocity, which have to be exponentially small compared with the critical anisotropic Besov norm to the third component of the initial velocity, we investigate the global wellposedness of 3-D inhomogeneous incompressible Navier-Stokes equations (1.2) in the critical Besov spaces. The novelty of this results is that the isotropic space structure to the inhomogeneity of the initial density function is consistent with the propagation of anisotropic regularity for the velocity field. In the second part, we apply the same idea to prove the global wellposedness of (1.2) with some large data which are slowly varying in one direction.
dc.language.isoen
dc.publisherElsevier
dc.title.enGlobal large solutions to 3-D inhomogeneous Navier-Stokes system with one slow variable
dc.typeArticle de revue
dc.identifier.doi10.1016/j.jde.2013.09.004
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]
dc.subject.halMathématiques [math]/Equations aux dérivées partielles [math.AP]
dc.identifier.arxiv1301.6313
bordeaux.journalJournal of Differential Equations
bordeaux.page223-252
bordeaux.volume256
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-00994613
hal.version1
hal.popularnon
hal.audienceInternationale
hal.origin.linkhttps://hal.archives-ouvertes.fr//hal-00994613v1
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