A class of stationary nonlinear Maxwell systems

Detalhes bibliográficos
Autor(a) principal: Miranda, Fernando
Data de Publicação: 2009
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/1822/9725
Resumo: We study a new class of electromagnetostatic problems in the variational framework of the subspace of $W^{1,p}(\Omega)^3$ of vector functions with zero divergence and zero normal trace, for $p>6/5$, in smooth, bounded and simply connected domains $\Omega$ of $\mathbb R^3$. We prove a Poincaré-Friedrichs type inequality and we obtain the existence of steady-state solutions for an electromagnetic induction heating problem and for a quasi-variational inequality modelling a critical state generalized problem for type-II superconductors.
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spelling A class of stationary nonlinear Maxwell systemsElectromagnetostatic problemsVariational methodsVariational inequalitiesSuperconductivity modelsScience & TechnologyWe study a new class of electromagnetostatic problems in the variational framework of the subspace of $W^{1,p}(\Omega)^3$ of vector functions with zero divergence and zero normal trace, for $p>6/5$, in smooth, bounded and simply connected domains $\Omega$ of $\mathbb R^3$. We prove a Poincaré-Friedrichs type inequality and we obtain the existence of steady-state solutions for an electromagnetic induction heating problem and for a quasi-variational inequality modelling a critical state generalized problem for type-II superconductors.World Scientific PublishingUniversidade do MinhoMiranda, FernandoRodrigues, José FranciscoSantos, Lisa20092009-01-01T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/1822/9725eng"Mathematical Models and Methods in Applied Sciences". ISSN 0218-2025. 19:10 (2009) 1883-1905.0218-202510.1142/S0218202509003966www.worldscinet.com/m3asinfo: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:RCAAP2023-07-21T12:53:05Zoai:repositorium.sdum.uminho.pt:1822/9725Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-19T19:52:23.037866Repositório 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 A class of stationary nonlinear Maxwell systems
title A class of stationary nonlinear Maxwell systems
spellingShingle A class of stationary nonlinear Maxwell systems
Miranda, Fernando
Electromagnetostatic problems
Variational methods
Variational inequalities
Superconductivity models
Science & Technology
title_short A class of stationary nonlinear Maxwell systems
title_full A class of stationary nonlinear Maxwell systems
title_fullStr A class of stationary nonlinear Maxwell systems
title_full_unstemmed A class of stationary nonlinear Maxwell systems
title_sort A class of stationary nonlinear Maxwell systems
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 Electromagnetostatic problems
Variational methods
Variational inequalities
Superconductivity models
Science & Technology
topic Electromagnetostatic problems
Variational methods
Variational inequalities
Superconductivity models
Science & Technology
description We study a new class of electromagnetostatic problems in the variational framework of the subspace of $W^{1,p}(\Omega)^3$ of vector functions with zero divergence and zero normal trace, for $p>6/5$, in smooth, bounded and simply connected domains $\Omega$ of $\mathbb R^3$. We prove a Poincaré-Friedrichs type inequality and we obtain the existence of steady-state solutions for an electromagnetic induction heating problem and for a quasi-variational inequality modelling a critical state generalized problem for type-II superconductors.
publishDate 2009
dc.date.none.fl_str_mv 2009
2009-01-01T00:00:00Z
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/1822/9725
url http://hdl.handle.net/1822/9725
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv "Mathematical Models and Methods in Applied Sciences". ISSN 0218-2025. 19:10 (2009) 1883-1905.
0218-2025
10.1142/S0218202509003966
www.worldscinet.com/m3as
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 World Scientific Publishing
publisher.none.fl_str_mv World Scientific Publishing
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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