Incompressible Euler as a limit of complex fluid models with Navier boundary conditions

dc.creatorBusuioc, AV
dc.creatorIftimie, D
dc.creatorLopes, MC
dc.creatorLopes, HJN
dc.date2012
dc.date36892
dc.date2014-07-30T14:33:05Z
dc.date2015-11-26T18:05:13Z
dc.date2014-07-30T14:33:05Z
dc.date2015-11-26T18:05:13Z
dc.date.accessioned2018-03-29T00:47:31Z
dc.date.available2018-03-29T00:47:31Z
dc.identifierJournal Of Differential Equations. Academic Press Inc Elsevier Science, v. 252, n. 1, n. 624, n. 640, 2012.
dc.identifier0022-0396
dc.identifierWOS:000296304400025
dc.identifier10.1016/j.jde.2011.06.007
dc.identifierhttp://www.repositorio.unicamp.br/jspui/handle/REPOSIP/59987
dc.identifierhttp://repositorio.unicamp.br/jspui/handle/REPOSIP/59987
dc.identifier.urihttp://repositorioslatinoamericanos.uchile.cl/handle/2250/1293081
dc.descriptionConselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)
dc.descriptionFundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)
dc.descriptionIn this article we study the limit alpha -> 0 of solutions of the alpha-Euler equations and the limit alpha, v -> 0 of solutions of the second grade fluid equations in a bounded domain, both in two and in three space dimensions. We prove that solutions of the complex fluid models converge to solutions of the incompressible Euler equations in a bounded domain with Navier boundary conditions, under the hypothesis that there exists a uniform time of existence for the approximations, independent of a and v. This additional hypothesis is not necessary in 2D, where global existence is known, and for axisymmetric flows without swirl, for which we prove global existence. Our conclusion is strong convergence in L(2) to a solution of the incompressible Euler equations, assuming smooth initial data. (C) 2011 Elsevier Inc. All rights reserved.
dc.description252
dc.description1
dc.description624
dc.description640
dc.descriptionConselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)
dc.descriptionFundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)
dc.descriptionConselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)
dc.descriptionFundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)
dc.descriptionCNPq [303.301/2007-4, 302.214/2004-6]
dc.descriptionFAPESP [2007/51490-7]
dc.descriptionFAPESP [22076]
dc.languageen
dc.publisherAcademic Press Inc Elsevier Science
dc.publisherSan Diego
dc.publisherEUA
dc.relationJournal Of Differential Equations
dc.relationJ. Differ. Equ.
dc.rightsfechado
dc.rightshttp://www.elsevier.com/about/open-access/open-access-policies/article-posting-policy
dc.sourceWeb of Science
dc.subjectVanishing Viscosity Limit
dc.subjectStokes Equations
dc.subjectDifferential Type
dc.subjectBlowup Criterion
dc.subject2nd-grade Fluid
dc.subjectExistence
dc.subjectAlpha
dc.subjectFlow
dc.titleIncompressible Euler as a limit of complex fluid models with Navier boundary conditions
dc.typeArtículos de revistas


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