Simultaneous Optimal Controls for Non-Stationary Stokes Systems

Simultaneous Optimal Controls for Non-Stationary Stokes Systems

Year:    2017

Author:    C. M. Gariboldi, E. L. Schwindt

Analysis in Theory and Applications, Vol. 33 (2017), Iss. 3 : pp. 229–239

Abstract

This paper deals 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.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/10.4208/ata.2017.v33.n3.4

Analysis in Theory and Applications, Vol. 33 (2017), Iss. 3 : pp. 229–239

Published online:    2017-01

AMS Subject Headings:    Global Science Press

Copyright:    COPYRIGHT: © Global Science Press

Pages:    11

Keywords:    Simultaneous optimal controls unsteady Stokes system optimality condition.

Author Details

C. M. Gariboldi

E. L. Schwindt