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Please use this identifier to cite or link to this item: http://acervodigital.unesp.br/handle/11449/25134
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dc.contributor.authorArrieta, Jose M.-
dc.contributor.authorCarvalho, Alexandre N.-
dc.contributor.authorPereira, Marcone C.-
dc.contributor.authorSilva, Ricardo P.-
dc.date.accessioned2013-09-30T18:51:20Z-
dc.date.accessioned2014-05-20T14:17:08Z-
dc.date.accessioned2016-10-25T17:39:49Z-
dc.date.available2013-09-30T18:51:20Z-
dc.date.available2014-05-20T14:17:08Z-
dc.date.available2016-10-25T17:39:49Z-
dc.date.issued2011-10-01-
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.issn0362-546X-
dc.identifier.urihttp://hdl.handle.net/11449/25134-
dc.identifier.urihttp://acervodigital.unesp.br/handle/11449/25134-
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.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.format.extent5111-5132-
dc.language.isoeng-
dc.publisherPergamon-Elsevier B.V. Ltd-
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.typeoutro-
dc.contributor.institutionUniversidade de São Paulo (USP)-
dc.contributor.institutionUniv Complutense Madrid-
dc.contributor.institutionUniversidade Estadual Paulista (UNESP)-
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.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.identifier.doi10.1016/j.na.2011.05.006-
dc.identifier.wosWOS:000291471000020-
dc.rights.accessRightsAcesso restrito-
dc.relation.ispartofNonlinear Analysis-theory Methods & Applications-
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