On a p-curl system arising in electromagnetism

Detalhes bibliográficos
Autor(a) principal: Miranda, Fernando
Data de Publicação: 2012
Outros Autores: Rodrigues, José Francisco, Santos, Lisa
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
Texto Completo: http://hdl.handle.net/1822/17881
Resumo: We prove existence of solution of a $p$-curl type evolutionary system arising in electromagnetism with a power nonlinearity of order $p$, $1<p<\infty$, assuming natural tangential boundary conditions. We consider also the asymptotic behaviour in the power obtaining, when $p$ tends to infinity, a variational inequality with a curl constraint. We also discuss the existence, uniqueness and continuous dependence on the data of the solutions to general variational inequalities with curl constraints dependent on time, as well as the asymptotic stabilization in time towards the stationary solution with and without constraint.
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spelling On a p-curl system arising in electromagnetismElectromagnetic problemsVariational methodsVariational inequalitiesSuperconductivity modelsElectromagnetic problems; variational methodsScience & TechnologyWe prove existence of solution of a $p$-curl type evolutionary system arising in electromagnetism with a power nonlinearity of order $p$, $1<p<\infty$, assuming natural tangential boundary conditions. We consider also the asymptotic behaviour in the power obtaining, when $p$ tends to infinity, a variational inequality with a curl constraint. We also discuss the existence, uniqueness and continuous dependence on the data of the solutions to general variational inequalities with curl constraints dependent on time, as well as the asymptotic stabilization in time towards the stationary solution with and without constraint.The first an last authors are supported by the Research Centre of Mathematics of the University of Minho through the FCT Pluriannual Funding Program and FCT project UT-Austin/MAT/0035/2008.American Institute of Mathematical Sciences (AIMS)Universidade do MinhoMiranda, FernandoRodrigues, José FranciscoSantos, Lisa2012-062012-06-01T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/1822/17881eng1937-1632 (print)10.3934/dcdss.2012.5.605http://dx.doi.org/10.3934/dcdss.2012.5.605info:eu-repo/semantics/openAccessreponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãoinstacron:RCAAP2023-07-21T11:55:49Zoai:repositorium.sdum.uminho.pt:1822/17881Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-19T18:45:22.591612Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãofalse
dc.title.none.fl_str_mv On a p-curl system arising in electromagnetism
title On a p-curl system arising in electromagnetism
spellingShingle On a p-curl system arising in electromagnetism
Miranda, Fernando
Electromagnetic problems
Variational methods
Variational inequalities
Superconductivity models
Electromagnetic problems; variational methods
Science & Technology
title_short On a p-curl system arising in electromagnetism
title_full On a p-curl system arising in electromagnetism
title_fullStr On a p-curl system arising in electromagnetism
title_full_unstemmed On a p-curl system arising in electromagnetism
title_sort On a p-curl system arising in electromagnetism
author Miranda, Fernando
author_facet Miranda, Fernando
Rodrigues, José Francisco
Santos, Lisa
author_role author
author2 Rodrigues, José Francisco
Santos, Lisa
author2_role author
author
dc.contributor.none.fl_str_mv Universidade do Minho
dc.contributor.author.fl_str_mv Miranda, Fernando
Rodrigues, José Francisco
Santos, Lisa
dc.subject.por.fl_str_mv Electromagnetic problems
Variational methods
Variational inequalities
Superconductivity models
Electromagnetic problems; variational methods
Science & Technology
topic Electromagnetic problems
Variational methods
Variational inequalities
Superconductivity models
Electromagnetic problems; variational methods
Science & Technology
description We prove existence of solution of a $p$-curl type evolutionary system arising in electromagnetism with a power nonlinearity of order $p$, $1<p<\infty$, assuming natural tangential boundary conditions. We consider also the asymptotic behaviour in the power obtaining, when $p$ tends to infinity, a variational inequality with a curl constraint. We also discuss the existence, uniqueness and continuous dependence on the data of the solutions to general variational inequalities with curl constraints dependent on time, as well as the asymptotic stabilization in time towards the stationary solution with and without constraint.
publishDate 2012
dc.date.none.fl_str_mv 2012-06
2012-06-01T00:00:00Z
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
format article
status_str publishedVersion
dc.identifier.uri.fl_str_mv http://hdl.handle.net/1822/17881
url http://hdl.handle.net/1822/17881
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 1937-1632 (print)
10.3934/dcdss.2012.5.605
http://dx.doi.org/10.3934/dcdss.2012.5.605
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv American Institute of Mathematical Sciences (AIMS)
publisher.none.fl_str_mv American Institute of Mathematical Sciences (AIMS)
dc.source.none.fl_str_mv reponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação
instacron:RCAAP
instname_str Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação
instacron_str RCAAP
institution RCAAP
reponame_str Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
collection Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
repository.name.fl_str_mv Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação
repository.mail.fl_str_mv
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