Existence of optimal boundary control for the Navier-Stokes equations with mixed boundary conditions

Detalhes bibliográficos
Autor(a) principal: Guerra, Telma
Data de Publicação: 2015
Outros Autores: Sequeira, Adélia, Tiago, Jorge
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
Texto Completo: http://hdl.handle.net/10400.26/22333
Resumo: preprint
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spelling Existence of optimal boundary control for the Navier-Stokes equations with mixed boundary conditionsBoundary controloptimal controlsteady Navier-Stokes equationsmixed boundary conditionspreprintVariational approaches have been used successfully as a strategy to takeadvantage from real data measurements. In several applications, this approach allowsto increase the accuracy of numerical simulations. In the particular case of fluid dy-namics, it leads to optimal control problems with non-standard cost functionals which,when subject to the Navier-Stokes equations, require a non-standard theoretical frameto ensure the existence of solution. In this work, we prove the existence of solution fora class of such type of optimal control problems. Before doing that, we ensure the ex-istence and uniqueness of solution for the 3D stationary Navier-Stokes equations, withmixed-boundary conditions, a particular type of boundary conditions very common inapplications to biomedical problemsRepositório ComumGuerra, TelmaSequeira, AdéliaTiago, Jorge2018-04-17T10:33:13Z20152015-01-01T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10400.26/22333eng10.4171/PM/1968info: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:RCAAP2023-11-21T09:53:46Zoai:comum.rcaap.pt:10400.26/22333Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-19T23:09:41.216336Repositório 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 Existence of optimal boundary control for the Navier-Stokes equations with mixed boundary conditions
title Existence of optimal boundary control for the Navier-Stokes equations with mixed boundary conditions
spellingShingle Existence of optimal boundary control for the Navier-Stokes equations with mixed boundary conditions
Guerra, Telma
Boundary control
optimal control
steady Navier-Stokes equations
mixed boundary conditions
title_short Existence of optimal boundary control for the Navier-Stokes equations with mixed boundary conditions
title_full Existence of optimal boundary control for the Navier-Stokes equations with mixed boundary conditions
title_fullStr Existence of optimal boundary control for the Navier-Stokes equations with mixed boundary conditions
title_full_unstemmed Existence of optimal boundary control for the Navier-Stokes equations with mixed boundary conditions
title_sort Existence of optimal boundary control for the Navier-Stokes equations with mixed boundary conditions
author Guerra, Telma
author_facet Guerra, Telma
Sequeira, Adélia
Tiago, Jorge
author_role author
author2 Sequeira, Adélia
Tiago, Jorge
author2_role author
author
dc.contributor.none.fl_str_mv Repositório Comum
dc.contributor.author.fl_str_mv Guerra, Telma
Sequeira, Adélia
Tiago, Jorge
dc.subject.por.fl_str_mv Boundary control
optimal control
steady Navier-Stokes equations
mixed boundary conditions
topic Boundary control
optimal control
steady Navier-Stokes equations
mixed boundary conditions
description preprint
publishDate 2015
dc.date.none.fl_str_mv 2015
2015-01-01T00:00:00Z
2018-04-17T10:33:13Z
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/10400.26/22333
url http://hdl.handle.net/10400.26/22333
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 10.4171/PM/1968
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.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
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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
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