Simultaneous Optimal Controls for Non-Stationary Stokes Systems

This paper deal with optimal control problems for a non-stationary Stokes system. We study a simultaneous distributed-boundary optimal control problem with distributed observation. We prove the existence and uniqueness of a simultaneous optimal control and we give the first order optimality conditio...

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Bibliographic Details
Published inAnalysis in theory & applications Vol. 33; no. 3; pp. 229 - 239
Main Authors Gariboldi, Claudia M., Schwindt, Erica
Format Journal Article
LanguageEnglish
Published Departamento de Matemática, Facultad de Ciencias Exactas, Físico–Químicas y Naturales, Universidad Nacional de Río Cuarto, 5800–Río Cuarto, Córdoba, Argentina%Laboratoire Jacques-Louis Lions, Université Pierre et Marie Curie Paris 6, UMR 7598, 75005 Paris, France 13.01.2017
Global Science Press
Subjects
Mathematics
Simultaneous optimal controls
optimality condition
unsteady Stokes system
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Summary:This paper deal with optimal control problems for a non-stationary Stokes system. We study a simultaneous distributed-boundary optimal control problem with distributed observation. We prove the existence and uniqueness of a simultaneous optimal control and we give the first order optimality condition for this problem. We also consider a distributed optimal control problem and a boundary optimal control problem and we obtain estimations between the simultaneous optimal control and the optimal controls of these last ones. Finally, some regularity results are presented.
ISSN:1672-4070
1573-8175
DOI:10.4208/ata.2017.v33.n3.4