Existence of optimal boundary control for the Navier-Stokes equations with mixed boundary conditions
Autor(a) principal: | |
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Data de Publicação: | 2015 |
Outros Autores: | , |
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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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 |
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Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação |
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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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1799135359872794624 |