Semilinear parabolic problems in thin domains with a highly oscillatory boundary

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dc.contributor.authorArrieta, Jose M.
dc.contributor.authorCarvalho, Alexandre N.
dc.contributor.authorPereira, Marcone C.
dc.contributor.authorSilva, Ricardo P. [UNESP]
dc.contributor.institutionUniversidade de São Paulo (USP)
dc.contributor.institutionUniv Complutense Madrid
dc.contributor.institutionUniversidade Estadual Paulista (Unesp)
dc.date.accessioned2013-09-30T18:51:20Z
dc.date.accessioned2014-05-20T14:17:08Z
dc.date.available2013-09-30T18:51:20Z
dc.date.available2014-05-20T14:17:08Z
dc.date.issued2011-10-01
dc.description.abstractIn this paper, we study the behavior of the solutions of nonlinear parabolic problems posed in a domain that degenerates into a line segment (thin domain) which has an oscillating boundary. We combine methods from linear homogenization theory for reticulated structures and from the theory on nonlinear dynamics of dissipative systems to obtain the limit problem for the elliptic and parabolic problems and analyze the convergence properties of the solutions and attractors of the evolutionary equations. (C) 2011 Elsevier Ltd. All rights reserved.en
dc.description.affiliationUniv São Paulo, Inst Ciencias Matemat & Comp, BR-13560970 São Carlos, SP, Brazil
dc.description.affiliationUniv São Paulo, Escola Artes Ciencias & Humanidades, BR-03828000 São Paulo, SP, Brazil
dc.description.affiliationUniv Complutense Madrid, Dept Matemat Aplicada, E-28040 Madrid, Spain
dc.description.affiliationUniv Estadual Paulista, Inst Geociencias & Ciencias Exatas, BR-13506900 Rio Claro, SP, Brazil
dc.description.affiliationUnespUniv Estadual Paulista, Inst Geociencias & Ciencias Exatas, BR-13506900 Rio Claro, SP, Brazil
dc.description.sponsorshipMICINN, Spain
dc.description.sponsorshipConselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)
dc.description.sponsorshipCoordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)
dc.description.sponsorshipFundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)
dc.description.sponsorshipIdMICINN, Spain: MTM2009-07540
dc.description.sponsorshipIdMICINN, Spain: PHB2006-003 PC
dc.description.sponsorshipIdMICINN, Spain: PR2009-0027
dc.description.sponsorshipIdMICINN, Spain: GR58/08
dc.description.sponsorshipIdMICINN, Spain: GR35/10-A
dc.description.sponsorshipIdMICINN, Spain: 920894
dc.description.sponsorshipIdCNPq: 305447/2005-0
dc.description.sponsorshipIdCNPq: 451761/2008-1
dc.description.sponsorshipIdCNPq: 305210/2008-4
dc.description.sponsorshipIdCAPES: 267/2008
dc.description.sponsorshipIdFAPESP: 08/53094-4
dc.description.sponsorshipIdFAPESP: 10/18790-0
dc.format.extent5111-5132
dc.identifierhttp://dx.doi.org/10.1016/j.na.2011.05.006
dc.identifier.citationNonlinear Analysis-theory Methods & Applications. Oxford: Pergamon-Elsevier B.V. Ltd, v. 74, n. 15, p. 5111-5132, 2011.
dc.identifier.doi10.1016/j.na.2011.05.006
dc.identifier.issn0362-546X
dc.identifier.urihttp://hdl.handle.net/11449/25134
dc.identifier.wosWOS:000291471000020
dc.language.isoeng
dc.publisherPergamon-Elsevier B.V. Ltd
dc.relation.ispartofNonlinear Analysis-theory Methods & Applications
dc.relation.ispartofjcr1.291
dc.rights.accessRightsAcesso restrito
dc.sourceWeb of Science
dc.subjectThin domainsen
dc.subjectDissipative parabolic equationsen
dc.subjectGlobal attractorsen
dc.subjectUpper semicontinuityen
dc.subjectLower semicontinuityen
dc.subjectHomogenizationen
dc.titleSemilinear parabolic problems in thin domains with a highly oscillatory boundaryen
dc.typeArtigo
dcterms.licensehttp://www.elsevier.com/about/open-access/open-access-policies/article-posting-policy
dcterms.rightsHolderPergamon-Elsevier B.V. Ltd
unesp.author.orcid0000-0002-9274-5039[1]
unesp.author.orcid0000-0003-4279-6740[2]
unesp.author.orcid0000-0002-2163-6361[4]

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