Dynamics in dumbbell domains II. The limiting problem

Página do item simplificado
dc.contributor.authorArrieta, Jose M.
dc.contributor.authorCarvalho, Alexandre N.
dc.contributor.authorLozada-Cruz, German Jesus [UNESP]
dc.contributor.institutionUniv Complutense Madrid
dc.contributor.institutionUniversidade de São Paulo (USP)
dc.contributor.institutionUniversidade Estadual Paulista (Unesp)
dc.date.accessioned2014-05-20T14:02:54Z
dc.date.available2014-05-20T14:02:54Z
dc.date.issued2009-07-01
dc.description.abstractIn this work we continue the analysis of the asymptotic dynamics of reaction-diffusion problems in a dumbbell domain started in [J.M. Arrieta, AN Carvalho, G. Lozada-Cruz, Dynamics in dumbbell domains I. Continuity of the set of equilibria, J. Differential Equations 231 (2) (2006) 551-597]. Here we study the limiting problem, that is, an evolution problem in a domain which consists of an open, bounded and smooth set Omega subset of R(N) with a curve R(0) attached to it. The evolution in both parts of the domain is governed by a parabolic equation. In Omega the evolution is independent of the evolution in R(0) whereas in R(0) the evolution depends on the evolution in Omega through the continuity condition of the solution at the junction points. We analyze in detail the linear elliptic and parabolic problem, the generation of linear and nonlinear semigroups, the existence and structure of attractors. (C) 2009 Elsevier B.V. All rights reserved.en
dc.description.affiliationUniv Complutense Madrid, Dept Matemat Aplicada, Fac Matemat, E-28040 Madrid, Spain
dc.description.affiliationUniv São Paulo, Dept Matemat, Inst Ciencias Matemat Computacao, BR-13560970 São Carlos, SP, Brazil
dc.description.affiliationUniv Estadual Paulista, Dept Matemat, IBILCE, UNESP, BR-15054000 Sao Jose Dos Campos, Brazil
dc.description.affiliationUnespUniv Estadual Paulista, Dept Matemat, IBILCE, UNESP, BR-15054000 Sao Jose Dos Campos, Brazil
dc.description.sponsorshipMEC
dc.description.sponsorshipPrograma de Financiacion de Grupos de Investigacion UCM-Comunidad de Madrid
dc.description.sponsorshipSIMUMAT-Comunidad de Madrid, 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.sponsorshipIdMEC: PHB2006-003-PC
dc.description.sponsorshipIdMEC: MTM2006-08262
dc.description.sponsorshipIdPrograma de Financiacion de Grupos de Investigacion UCM-Comunidad de Madrid: CCG07-UCM/ESP-2393
dc.description.sponsorshipIdPrograma de Financiacion de Grupos de Investigacion UCM-Comunidad de Madrid: 920894
dc.description.sponsorshipIdCNPq: 305447/2005-0
dc.description.sponsorshipIdCNPq: 451761/2008-1
dc.description.sponsorshipIdCAPES: 267/2008
dc.description.sponsorshipIdFAPESP: 08/53094-4
dc.description.sponsorshipIdFAPESP: 06/04781-3
dc.description.sponsorshipIdFAPESP: 07/00981-0
dc.format.extent174-202
dc.identifierhttp://dx.doi.org/10.1016/j.jde.2009.03.014
dc.identifier.citationJournal of Differential Equations. San Diego: Academic Press Inc. Elsevier B.V., v. 247, n. 1, p. 174-202, 2009.
dc.identifier.doi10.1016/j.jde.2009.03.014
dc.identifier.issn0022-0396
dc.identifier.lattes9125376680065204
dc.identifier.urihttp://hdl.handle.net/11449/22162
dc.identifier.wosWOS:000266256900008
dc.language.isoeng
dc.publisherAcademic Press Inc. Elsevier B.V.
dc.relation.ispartofJournal of Differential Equations
dc.relation.ispartofjcr1.782
dc.relation.ispartofsjr2,525
dc.rights.accessRightsAcesso restrito
dc.sourceWeb of Science
dc.titleDynamics in dumbbell domains II. The limiting problemen
dc.typeArtigo
dcterms.licensehttp://www.elsevier.com/about/open-access/open-access-policies/article-posting-policy
dcterms.rightsHolderAcademic Press Inc. Elsevier B.V.
unesp.author.lattes9125376680065204
unesp.campusUniversidade Estadual Paulista (Unesp), Instituto de Biociências Letras e Ciências Exatas, São José do Rio Pretopt

Arquivos

Licença do Pacote
Agora exibindo 1 - 2 de 2
Nenhuma Miniatura disponível
Nome:
license.txt
Tamanho:
1.71 KB
Formato:
Item-specific license agreed upon to submission
Descrição:
Nenhuma Miniatura disponível
Nome:
license.txt
Tamanho:
1.71 KB
Formato:
Item-specific license agreed upon to submission
Descrição:

Coleções

Artigos - Matemática - IBILCE