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Global well-posedness of incompressible inhomogeneous fluid systems with bounded density or non-Lipschitz velocity

hal.structure.identifierAcademy of Mathematics and Systems Science [AMSS]
dc.contributor.authorHUANG, Jingchi
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.accessioned2024-04-04T02:17:25Z
dc.date.available2024-04-04T02:17:25Z
dc.date.issued2013
dc.identifier.issn0003-9527
dc.identifier.urihttps://oskar-bordeaux.fr/handle/20.500.12278/189227
dc.description.abstractEnIn this paper, we first prove the global existence of weak solutions to the d-dimensional incompressible inhomogeneous Navier-Stokes equations with initial data $a_0\in L^\infty(\R^d)$, $u_0=(u_0^h,u_0^d)\in {\dot B}^{-1+d/p}_{p,r}(\R^d)$, which satisfy $(\mu\|a_0\|_{L^\infty}+\|u_0\|_{{\dot B}^{-1+d/p}_{p,r}})\exp(C_r\mu^{-2r}\|u_0^d\|^{2r}_{{\dot B}^{-1+d/p}_{p,r}} )\leq c_0\mu$ for some positive constants $c_0, C_r$ and $1
dc.language.isoen
dc.publisherSpringer Verlag
dc.title.enGlobal well-posedness of incompressible inhomogeneous fluid systems with bounded density or non-Lipschitz velocity
dc.typeArticle de revue
dc.identifier.doi10.1007/s00205-013-0624-x
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.arxiv1212.3917
bordeaux.journalArchive for Rational Mechanics and Analysis
bordeaux.page631-682
bordeaux.volume209
bordeaux.hal.laboratoriesInstitut de Mathématiques de Bordeaux (IMB) - UMR 5251*
bordeaux.issue2
bordeaux.institutionUniversité de Bordeaux
bordeaux.institutionBordeaux INP
bordeaux.institutionCNRS
bordeaux.peerReviewedoui
hal.identifierhal-00994718
hal.version1
hal.popularnon
hal.audienceInternationale
hal.origin.linkhttps://hal.archives-ouvertes.fr//hal-00994718v1
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=2013&rft.volume=209&rft.issue=2&rft.spage=631-682&rft.epage=631-682&rft.eissn=0003-9527&rft.issn=0003-9527&rft.au=HUANG,%20Jingchi&PAICU,%20Marius&ZHANG,%20Ping&rft.genre=article


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