Uniqueness for Optimal control problems of two-dimensional second grade fluids

Bibliographic Details
Main Author: Almeida, Adilson
Publication Date: 2022
Other Authors: Chemetov, Nikolai V., Cipriano, Fernanda
Format: Article
Language: eng
Source: Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)
Download full: http://hdl.handle.net/10362/143320
Summary: Nikolai V. Chemetov was supported by the project no. 2021/03758-8 of Regular Research Grant-FAPESP, Brazil, and by the Program of "Docentes Novos", Process no. 20.1.4175.1.0 of Universidade de Sao Paulo. F. Cipriano was partially supported by the Fundacao para a Ciencia e a Tec-nologia.
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spelling Uniqueness for Optimal control problems of two-dimensional second grade fluidsoptimal controlSecond grade fluidsuniquenessAnalysisNikolai V. Chemetov was supported by the project no. 2021/03758-8 of Regular Research Grant-FAPESP, Brazil, and by the Program of "Docentes Novos", Process no. 20.1.4175.1.0 of Universidade de Sao Paulo. F. Cipriano was partially supported by the Fundacao para a Ciencia e a Tec-nologia.We study an optimal control problem with a quadratic cost functional for non-Newtonian fluids of differential type. More precisely, we consider the system governing the evolution of a second grade fluid filling a two-dimensional bounded domain, supplemented with a Navier slip boundary con-dition. Under certain assumptions on the size of the initial data and pa-rameters of the model, we prove second-order sufficient optimality conditions. Furthermore, we establish a global uniqueness result for the solutions of the first-order optimality system.CMA - Centro de Matemática e AplicaçõesDM - Departamento de MatemáticaRUNAlmeida, AdilsonChemetov, Nikolai V.Cipriano, Fernanda2022-08-26T22:17:11Z2022-03-182022-03-18T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/article12application/pdfhttp://hdl.handle.net/10362/143320engPURE: 43585734info:eu-repo/semantics/openAccessreponame:Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)instname:FCCN, serviços digitais da FCT – Fundação para a Ciência e a Tecnologiainstacron:RCAAP2024-05-22T18:04:42Zoai:run.unl.pt:10362/143320Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireinfo@rcaap.ptopendoar:https://opendoar.ac.uk/repository/71602025-05-28T17:35:28.128569Repositórios Científicos de Acesso Aberto de Portugal (RCAAP) - FCCN, serviços digitais da FCT – Fundação para a Ciência e a Tecnologiafalse
dc.title.none.fl_str_mv Uniqueness for Optimal control problems of two-dimensional second grade fluids
title Uniqueness for Optimal control problems of two-dimensional second grade fluids
spellingShingle Uniqueness for Optimal control problems of two-dimensional second grade fluids
Almeida, Adilson
optimal control
Second grade fluids
uniqueness
Analysis
title_short Uniqueness for Optimal control problems of two-dimensional second grade fluids
title_full Uniqueness for Optimal control problems of two-dimensional second grade fluids
title_fullStr Uniqueness for Optimal control problems of two-dimensional second grade fluids
title_full_unstemmed Uniqueness for Optimal control problems of two-dimensional second grade fluids
title_sort Uniqueness for Optimal control problems of two-dimensional second grade fluids
author Almeida, Adilson
author_facet Almeida, Adilson
Chemetov, Nikolai V.
Cipriano, Fernanda
author_role author
author2 Chemetov, Nikolai V.
Cipriano, Fernanda
author2_role author
author
dc.contributor.none.fl_str_mv CMA - Centro de Matemática e Aplicações
DM - Departamento de Matemática
RUN
dc.contributor.author.fl_str_mv Almeida, Adilson
Chemetov, Nikolai V.
Cipriano, Fernanda
dc.subject.por.fl_str_mv optimal control
Second grade fluids
uniqueness
Analysis
topic optimal control
Second grade fluids
uniqueness
Analysis
description Nikolai V. Chemetov was supported by the project no. 2021/03758-8 of Regular Research Grant-FAPESP, Brazil, and by the Program of "Docentes Novos", Process no. 20.1.4175.1.0 of Universidade de Sao Paulo. F. Cipriano was partially supported by the Fundacao para a Ciencia e a Tec-nologia.
publishDate 2022
dc.date.none.fl_str_mv 2022-08-26T22:17:11Z
2022-03-18
2022-03-18T00:00:00Z
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/10362/143320
url http://hdl.handle.net/10362/143320
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv PURE: 43585734
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv 12
application/pdf
dc.source.none.fl_str_mv reponame:Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)
instname:FCCN, serviços digitais da FCT – Fundação para a Ciência e a Tecnologia
instacron:RCAAP
instname_str FCCN, serviços digitais da FCT – Fundação para a Ciência e a Tecnologia
instacron_str RCAAP
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reponame_str Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)
collection Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)
repository.name.fl_str_mv Repositórios Científicos de Acesso Aberto de Portugal (RCAAP) - FCCN, serviços digitais da FCT – Fundação para a Ciência e a Tecnologia
repository.mail.fl_str_mv info@rcaap.pt
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