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hal.structure.identifierInstitut de Mathématiques de Bordeaux [IMB]
dc.contributor.authorPAICU, Marius
dc.contributor.authorZARNESCU, Arghir
dc.date.accessioned2024-04-04T02:17:23Z
dc.date.available2024-04-04T02:17:23Z
dc.date.issued2012
dc.identifier.issn0003-9527
dc.identifier.urihttps://oskar-bordeaux.fr/handle/20.500.12278/189224
dc.description.abstractEnWe study a complex non-Newtonian fluid that models the flowof nematic liquid crystals. The fluid is described by a system that couples a forced Navier-Stokes system with a parabolic-type system. We prove the existence of global weak solutions in dimensions two and three.We show the existence of a Lyapunov functional for the smooth solutions of the coupled system and use cancellations that allow its existence to prove higher global regularity in dimension two. We also show the weak-strong uniqueness in dimension two.
dc.language.isoen
dc.publisherSpringer Verlag
dc.title.enEnergy dissipation and regularity for a coupled Navier-Stokes and Q-tensor system
dc.typeArticle de revue
dc.identifier.doi10.1007/s00205-011-0443-x
dc.subject.halMathématiques [math]/Equations aux dérivées partielles [math.AP]
dc.identifier.arxiv1001.1032
bordeaux.journalArchive for Rational Mechanics and Analysis
bordeaux.page45-67
bordeaux.volume203
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-00994722
hal.version1
hal.popularnon
hal.audienceInternationale
hal.origin.linkhttps://hal.archives-ouvertes.fr//hal-00994722v1
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