On the existence of optimal and ϵ−optimal feedback controls for stochastic second grade fluids

Detalhes bibliográficos
Autor(a) principal: Cipriano, Fernanda
Data de Publicação: 2019
Outros Autores: Pereira, Diogo
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
Texto Completo: https://doi.org/10.1016/j.jmaa.2019.03.064
Resumo: The authors are very grateful to the institutions Fundacao Calouste Gulbenkian, and Fundacao para a Ciencia e a Tecnologia due to the financial support. The work of D. Pereira was supported by the Fundacao Calouste Gulbenkian through the program "Estimulo a Investigacao 2016", project "Monte Carlo na equagdo Hamilton-Jacobi-Bellman". The work of F. Cipriano was supported by the Fundacao Calouste Gulbenkian through the project "Monte Carlo na equagao Hamilton-Jacobi-Bellman", and Fundacao para a Ciencia e a Tecnologia (Portuguese Foundation for Science and Technology) through the project UID/MAT/00297/2019 (Centro de Matematica e Aplicacoes).
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spelling On the existence of optimal and ϵ−optimal feedback controls for stochastic second grade fluidsFeedback optimal controlSecond grade fluidsStochastic differential equationϵ−Optimal feedback controlAnalysisApplied MathematicsThe authors are very grateful to the institutions Fundacao Calouste Gulbenkian, and Fundacao para a Ciencia e a Tecnologia due to the financial support. The work of D. Pereira was supported by the Fundacao Calouste Gulbenkian through the program "Estimulo a Investigacao 2016", project "Monte Carlo na equagdo Hamilton-Jacobi-Bellman". The work of F. Cipriano was supported by the Fundacao Calouste Gulbenkian through the project "Monte Carlo na equagao Hamilton-Jacobi-Bellman", and Fundacao para a Ciencia e a Tecnologia (Portuguese Foundation for Science and Technology) through the project UID/MAT/00297/2019 (Centro de Matematica e Aplicacoes).This article deals with a feedback optimal control problem for the stochastic second grade fluids. More precisely, we establish the existence of an optimal feedback control for the two-dimensional stochastic second grade fluids, with Navier-slip boundary conditions. In addition, using the Galerkin approximations, we show that the optimal cost can be approximated by a sequence of finite dimensional optimal costs, showing the existence of the so-called ϵ−optimal feedback control.DM - Departamento de MatemáticaCMA - Centro de Matemática e AplicaçõesRUNCipriano, FernandaPereira, Diogo2019-07-24T22:48:09Z2019-07-152019-07-15T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/article22application/pdfhttps://doi.org/10.1016/j.jmaa.2019.03.064eng0022-247XPURE: 12727114http://www.scopus.com/inward/record.url?scp=85063573777&partnerID=8YFLogxKhttps://doi.org/10.1016/j.jmaa.2019.03.064info: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:RCAAP2024-03-11T04:34:50Zoai:run.unl.pt:10362/76441Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-20T03:35:37.939684Repositório 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 the existence of optimal and ϵ−optimal feedback controls for stochastic second grade fluids
title On the existence of optimal and ϵ−optimal feedback controls for stochastic second grade fluids
spellingShingle On the existence of optimal and ϵ−optimal feedback controls for stochastic second grade fluids
Cipriano, Fernanda
Feedback optimal control
Second grade fluids
Stochastic differential equation
ϵ−Optimal feedback control
Analysis
Applied Mathematics
title_short On the existence of optimal and ϵ−optimal feedback controls for stochastic second grade fluids
title_full On the existence of optimal and ϵ−optimal feedback controls for stochastic second grade fluids
title_fullStr On the existence of optimal and ϵ−optimal feedback controls for stochastic second grade fluids
title_full_unstemmed On the existence of optimal and ϵ−optimal feedback controls for stochastic second grade fluids
title_sort On the existence of optimal and ϵ−optimal feedback controls for stochastic second grade fluids
author Cipriano, Fernanda
author_facet Cipriano, Fernanda
Pereira, Diogo
author_role author
author2 Pereira, Diogo
author2_role author
dc.contributor.none.fl_str_mv DM - Departamento de Matemática
CMA - Centro de Matemática e Aplicações
RUN
dc.contributor.author.fl_str_mv Cipriano, Fernanda
Pereira, Diogo
dc.subject.por.fl_str_mv Feedback optimal control
Second grade fluids
Stochastic differential equation
ϵ−Optimal feedback control
Analysis
Applied Mathematics
topic Feedback optimal control
Second grade fluids
Stochastic differential equation
ϵ−Optimal feedback control
Analysis
Applied Mathematics
description The authors are very grateful to the institutions Fundacao Calouste Gulbenkian, and Fundacao para a Ciencia e a Tecnologia due to the financial support. The work of D. Pereira was supported by the Fundacao Calouste Gulbenkian through the program "Estimulo a Investigacao 2016", project "Monte Carlo na equagdo Hamilton-Jacobi-Bellman". The work of F. Cipriano was supported by the Fundacao Calouste Gulbenkian through the project "Monte Carlo na equagao Hamilton-Jacobi-Bellman", and Fundacao para a Ciencia e a Tecnologia (Portuguese Foundation for Science and Technology) through the project UID/MAT/00297/2019 (Centro de Matematica e Aplicacoes).
publishDate 2019
dc.date.none.fl_str_mv 2019-07-24T22:48:09Z
2019-07-15
2019-07-15T00:00:00Z
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 https://doi.org/10.1016/j.jmaa.2019.03.064
url https://doi.org/10.1016/j.jmaa.2019.03.064
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 0022-247X
PURE: 12727114
http://www.scopus.com/inward/record.url?scp=85063573777&partnerID=8YFLogxK
https://doi.org/10.1016/j.jmaa.2019.03.064
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
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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)
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