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Dynamics in Dumbbell domains II. The limiting problem

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dc.contributor.authorArrieta Algarra, José María
dc.contributor.authorCarvalho, Alexandre N.
dc.contributor.authorLozada-Cruz, Germán
dc.date.accessioned2023-06-20T00:04:28Z
dc.date.available2023-06-20T00:04:28Z
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 domains started in [3]. Here we study the limiting problem, that is, an evolution problem in a \domain" which consists of an open, bounded and smooth set Ω RN with a curve R0 attached to it. The evolution in both parts of the domain is governed by a parabolic equation. In Ω the evolution is independent of the evolution in R0 whereas in R0 the evolution depends of the evolution in 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.
dc.description.departmentDepto. de Análisis Matemático y Matemática Aplicada
dc.description.facultyFac. de Ciencias Matemáticas
dc.description.refereedTRUE
dc.description.sponsorshipMEC
dc.description.sponsorshipPrograma de Financiación de Grupos de Investigación UCM-Comunidad de Madrid
dc.description.sponsorshipCNP
dc.description.sponsorshipCAPES/DGU
dc.description.sponsorshipFAPESP
dc.description.statuspub
dc.eprint.idhttps://eprints.ucm.es/id/eprint/12127
dc.identifier.doi10.1016/j.jde.2009.03.014
dc.identifier.issn1090-2732
dc.identifier.officialurlhttp://www.sciencedirect.com/science/journal/00220396
dc.identifier.relatedurlhttp://www.ucm.es/centros/cont/descargas/documento11225.pdf
dc.identifier.urihttps://hdl.handle.net/20.500.14352/41891
dc.issue.number1
dc.journal.titleJournal of Differential Equations
dc.language.isoeng
dc.page.final202
dc.page.initial174
dc.publisherAcademic Press
dc.relation.projectIDPHB2006-003-PC
dc.relation.projectIDMTM2006-08262
dc.relation.projectIDCCG07-UCM/ESP-239
dc.relation.projectIDGrupo 920894
dc.relation.projectIDSIMUMAT-Comunidad de Madrid
dc.relation.projectID305447/2005-0
dc.relation.projectID451761/2008-1
dc.relation.projectID267/2008
dc.relation.projectID2008/53094-4
dc.relation.projectID06/04781-3
dc.relation.projectID07/00981-0
dc.rights.accessRightsopen access
dc.subject.cdu517.9
dc.subject.keywordDomain with attached curve
dc.subject.keywordLinear and nonlinear semigroups
dc.subject.ucmEcuaciones diferenciales
dc.subject.unesco1202.07 Ecuaciones en Diferencias
dc.titleDynamics in Dumbbell domains II. The limiting problem
dc.typejournal article
dc.volume.number247
dspace.entity.typePublication
relation.isAuthorOfPublication2f8ee04e-dfcb-4000-a2ae-18047c5f0f4a
relation.isAuthorOfPublication.latestForDiscovery2f8ee04e-dfcb-4000-a2ae-18047c5f0f4a

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