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Analyticity and Gevrey-class regularity for the second-grade fluid equations

hal.structure.identifierInstitut de Mathématiques de Bordeaux [IMB]
dc.contributor.authorPAICU, Marius
hal.structure.identifierDepartment of Mathematics [USC]
dc.contributor.authorVICOL, Vlad
dc.date.accessioned2024-04-04T02:17:23Z
dc.date.available2024-04-04T02:17:23Z
dc.date.issued2011
dc.identifier.issn1422-6928
dc.identifier.urihttps://oskar-bordeaux.fr/handle/20.500.12278/189223
dc.description.abstractEnWe address the global persistence of analyticity and Gevrey-class regularity of solutions to the two and three-dimensional visco-elastic second-grade fluid equations. We obtain an explicit novel lower bound on the radius of analyticity of the solutions that does not vanish as t → ∞, and which is independent of the Rivlin-Ericksen material parameter α. Applications to the damped incompressible Euler equations are also given.
dc.language.isoen
dc.publisherSpringer Verlag
dc.title.enAnalyticity and Gevrey-class regularity for the second-grade fluid equations
dc.typeArticle de revue
dc.subject.halMathématiques [math]/Equations aux dérivées partielles [math.AP]
bordeaux.journalJournal of Mathematical Fluid Mechanics
bordeaux.page533-555
bordeaux.volume13
bordeaux.hal.laboratoriesInstitut de Mathématiques de Bordeaux (IMB) - UMR 5251*
bordeaux.issue4
bordeaux.institutionUniversité de Bordeaux
bordeaux.institutionBordeaux INP
bordeaux.institutionCNRS
bordeaux.peerReviewedoui
hal.identifierhal-00994723
hal.version1
hal.popularnon
hal.audienceInternationale
hal.origin.linkhttps://hal.archives-ouvertes.fr//hal-00994723v1
bordeaux.COinSctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.jtitle=Journal%20of%20Mathematical%20Fluid%20Mechanics&rft.date=2011&rft.volume=13&rft.issue=4&rft.spage=533-555&rft.epage=533-555&rft.eissn=1422-6928&rft.issn=1422-6928&rft.au=PAICU,%20Marius&VICOL,%20Vlad&rft.genre=article


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