Dynamics in Dumbbell domains. I: Continuity of the set of equilibria.

We analyze the dynamics of a reaction–diffusion equation with homogeneous Neumann boundary conditions in a dumbbell domain. We provide an appropriate functional setting to treat this problem and, as a first step, we show in this paper the continuity of the set of equilibria and of its linear unstabl...

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Detalhes bibliográficos
Autores: Arrieta Algarra, José María, Carvalho, Alexandre N., Lozada-Cruz, Germán
Tipo de documento: artigo
Data de publicação:2006
País:España
Recursos:Universidad Complutense de Madrid (UCM)
Repositório:Docta Complutense
Idioma:inglês
OAI Identifier:oai:docta.ucm.es:20.500.14352/49744
Acesso em linha:https://hdl.handle.net/20.500.14352/49744
Access Level:Acceso aberto
Palavra-chave:517.9
Reaction-diffusion equation
Stationary solutions
Dumbbell domains
continuity
Homogeneous Neumann boundary conditions
Ecuaciones diferenciales
1202.07 Ecuaciones en Diferencias
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oai_identifier_str oai:docta.ucm.es:20.500.14352/49744
network_acronym_str ES
network_name_str España
repository_id_str
spelling Dynamics in Dumbbell domains. I: Continuity of the set of equilibria.Arrieta Algarra, José MaríaCarvalho, Alexandre N.Lozada-Cruz, Germán517.9Reaction-diffusion equationStationary solutionsDumbbell domainscontinuityHomogeneous Neumann boundary conditionsEcuaciones diferenciales1202.07 Ecuaciones en DiferenciasWe analyze the dynamics of a reaction–diffusion equation with homogeneous Neumann boundary conditions in a dumbbell domain. We provide an appropriate functional setting to treat this problem and, as a first step, we show in this paper the continuity of the set of equilibria and of its linear unstable manifolds.ElsevierUniversidad Complutense de Madrid20062006-01-0120062006-01-01journal articlehttp://purl.org/coar/resource_type/c_6501info:eu-repo/semantics/articleapplication/pdfhttps://hdl.handle.net/20.500.14352/49744reponame:Docta Complutenseinstname:Universidad Complutense de Madrid (UCM)Inglésengopen accesshttp://purl.org/coar/access_right/c_abf2info:eu-repo/semantics/openAccessoai:docta.ucm.es:20.500.14352/497442026-06-02T12:44:21Z
dc.title.none.fl_str_mv Dynamics in Dumbbell domains. I: Continuity of the set of equilibria.
title Dynamics in Dumbbell domains. I: Continuity of the set of equilibria.
spellingShingle Dynamics in Dumbbell domains. I: Continuity of the set of equilibria.
Arrieta Algarra, José María
517.9
Reaction-diffusion equation
Stationary solutions
Dumbbell domains
continuity
Homogeneous Neumann boundary conditions
Ecuaciones diferenciales
1202.07 Ecuaciones en Diferencias
title_short Dynamics in Dumbbell domains. I: Continuity of the set of equilibria.
title_full Dynamics in Dumbbell domains. I: Continuity of the set of equilibria.
title_fullStr Dynamics in Dumbbell domains. I: Continuity of the set of equilibria.
title_full_unstemmed Dynamics in Dumbbell domains. I: Continuity of the set of equilibria.
title_sort Dynamics in Dumbbell domains. I: Continuity of the set of equilibria.
dc.creator.none.fl_str_mv Arrieta Algarra, José María
Carvalho, Alexandre N.
Lozada-Cruz, Germán
author Arrieta Algarra, José María
author_facet Arrieta Algarra, José María
Carvalho, Alexandre N.
Lozada-Cruz, Germán
author_role author
author2 Carvalho, Alexandre N.
Lozada-Cruz, Germán
author2_role author
author
dc.contributor.none.fl_str_mv Universidad Complutense de Madrid
dc.subject.none.fl_str_mv 517.9
Reaction-diffusion equation
Stationary solutions
Dumbbell domains
continuity
Homogeneous Neumann boundary conditions
Ecuaciones diferenciales
1202.07 Ecuaciones en Diferencias
topic 517.9
Reaction-diffusion equation
Stationary solutions
Dumbbell domains
continuity
Homogeneous Neumann boundary conditions
Ecuaciones diferenciales
1202.07 Ecuaciones en Diferencias
description We analyze the dynamics of a reaction–diffusion equation with homogeneous Neumann boundary conditions in a dumbbell domain. We provide an appropriate functional setting to treat this problem and, as a first step, we show in this paper the continuity of the set of equilibria and of its linear unstable manifolds.
publishDate 2006
dc.date.none.fl_str_mv 2006
2006-01-01
2006
2006-01-01
dc.type.none.fl_str_mv journal article
http://purl.org/coar/resource_type/c_6501
dc.type.openaire.fl_str_mv info:eu-repo/semantics/article
format article
dc.identifier.none.fl_str_mv https://hdl.handle.net/20.500.14352/49744
url https://hdl.handle.net/20.500.14352/49744
dc.language.none.fl_str_mv Inglés
eng
language_invalid_str_mv Inglés
language eng
dc.rights.none.fl_str_mv open access
http://purl.org/coar/access_right/c_abf2
dc.rights.openaire.fl_str_mv info:eu-repo/semantics/openAccess
rights_invalid_str_mv open access
http://purl.org/coar/access_right/c_abf2
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv Elsevier
publisher.none.fl_str_mv Elsevier
dc.source.none.fl_str_mv reponame:Docta Complutense
instname:Universidad Complutense de Madrid (UCM)
instname_str Universidad Complutense de Madrid (UCM)
reponame_str Docta Complutense
collection Docta Complutense
repository.name.fl_str_mv
repository.mail.fl_str_mv
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score 15.300724

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