On the loss of mass for the heat equation in an exterior domain with general boundary conditions

In this work, we study the decay of mass for solutions to the heat equation in exterior domains, i.e., domains which are the complement of a compact set in RN . Different homogeneous boundary conditions are considered, including Dirichlet, Robin, and Neumann conditions. We determine the exact amount...

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Detalles Bibliográficos
Autores: Rodríguez Bernal, Aníbal, Domínguez de Tena, Joaquín
Tipo de recurso: artículo
Fecha de publicación:2023
País:España
Institución:Universidad Complutense de Madrid (UCM)
Repositorio:Docta Complutense
Idioma:inglés
OAI Identifier:oai:docta.ucm.es:20.500.14352/88909
Acceso en línea:https://hdl.handle.net/20.500.14352/88909
Access Level:acceso abierto
Palabra clave:Heat equation
Exterior domain
Mass loss
Asymptotic mass
Decay rates
Dirichlet
Neumann
Robin
Boundary conditions
Ecuaciones diferenciales
1202.20 Ecuaciones Diferenciales en derivadas Parciales
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spelling On the loss of mass for the heat equation in an exterior domain with general boundary conditionsRodríguez Bernal, AníbalDomínguez de Tena, JoaquínHeat equationExterior domainMass lossAsymptotic massDecay ratesDirichletNeumannRobinBoundary conditionsEcuaciones diferenciales1202.20 Ecuaciones Diferenciales en derivadas ParcialesIn this work, we study the decay of mass for solutions to the heat equation in exterior domains, i.e., domains which are the complement of a compact set in RN . Different homogeneous boundary conditions are considered, including Dirichlet, Robin, and Neumann conditions. We determine the exact amount of mass loss and identify criteria for complete mass decay, in which the dimension of the space plays a key role. Furthermore, the paper provides explicit mass decay rates.Universidad Complutense de Madrid20232023-10-3020232023-10-30journal articlehttp://purl.org/coar/resource_type/c_6501info:eu-repo/semantics/articleapplication/pdfhttps://hdl.handle.net/20.500.14352/88909reponame:Docta Complutenseinstname:Universidad Complutense de Madrid (UCM)InglésengAgencia Estatal de Investigación http://dx.doi.org/10.13039/501100011033 Plan Estatal de Investigación Científica y Técnica y de Innovación 2017-2020 PID2019-103860GB-I00 ASPECTOS LINEALES Y NO LINEALES EN ECUACIONES EN DERIVADAS PARCIALES. DINAMICA ASINTOTICA Y PERTURBACIONESopen accesshttp://purl.org/coar/access_right/c_abf2info:eu-repo/semantics/openAccessoai:docta.ucm.es:20.500.14352/889092026-06-02T12:44:21Z
dc.title.none.fl_str_mv On the loss of mass for the heat equation in an exterior domain with general boundary conditions
title On the loss of mass for the heat equation in an exterior domain with general boundary conditions
spellingShingle On the loss of mass for the heat equation in an exterior domain with general boundary conditions
Rodríguez Bernal, Aníbal
Heat equation
Exterior domain
Mass loss
Asymptotic mass
Decay rates
Dirichlet
Neumann
Robin
Boundary conditions
Ecuaciones diferenciales
1202.20 Ecuaciones Diferenciales en derivadas Parciales
title_short On the loss of mass for the heat equation in an exterior domain with general boundary conditions
title_full On the loss of mass for the heat equation in an exterior domain with general boundary conditions
title_fullStr On the loss of mass for the heat equation in an exterior domain with general boundary conditions
title_full_unstemmed On the loss of mass for the heat equation in an exterior domain with general boundary conditions
title_sort On the loss of mass for the heat equation in an exterior domain with general boundary conditions
dc.creator.none.fl_str_mv Rodríguez Bernal, Aníbal
Domínguez de Tena, Joaquín
author Rodríguez Bernal, Aníbal
author_facet Rodríguez Bernal, Aníbal
Domínguez de Tena, Joaquín
author_role author
author2 Domínguez de Tena, Joaquín
author2_role author
dc.contributor.none.fl_str_mv Universidad Complutense de Madrid
dc.subject.none.fl_str_mv Heat equation
Exterior domain
Mass loss
Asymptotic mass
Decay rates
Dirichlet
Neumann
Robin
Boundary conditions
Ecuaciones diferenciales
1202.20 Ecuaciones Diferenciales en derivadas Parciales
topic Heat equation
Exterior domain
Mass loss
Asymptotic mass
Decay rates
Dirichlet
Neumann
Robin
Boundary conditions
Ecuaciones diferenciales
1202.20 Ecuaciones Diferenciales en derivadas Parciales
description In this work, we study the decay of mass for solutions to the heat equation in exterior domains, i.e., domains which are the complement of a compact set in RN . Different homogeneous boundary conditions are considered, including Dirichlet, Robin, and Neumann conditions. We determine the exact amount of mass loss and identify criteria for complete mass decay, in which the dimension of the space plays a key role. Furthermore, the paper provides explicit mass decay rates.
publishDate 2023
dc.date.none.fl_str_mv 2023
2023-10-30
2023
2023-10-30
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/20.500.14352/88909
url https://hdl.handle.net/20.500.14352/88909
dc.language.none.fl_str_mv Inglés
eng
language_invalid_str_mv Inglés
language eng
dc.relation.none.fl_str_mv Agencia Estatal de Investigación http://dx.doi.org/10.13039/501100011033 Plan Estatal de Investigación Científica y Técnica y de Innovación 2017-2020 PID2019-103860GB-I00 ASPECTOS LINEALES Y NO LINEALES EN ECUACIONES EN DERIVADAS PARCIALES. DINAMICA ASINTOTICA Y PERTURBACIONES
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.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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