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Volume 33, Issue 3
Simultaneous Optimal Controls for Non-Stationary Stokes Systems

C. M. Gariboldi & E. L. Schwindt

DOI: 10.4208/ata.2017.v33.n3.4

Anal. Theory Appl., 33 (2017), pp. 229-239.

Published online: 2017-08

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  • 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.

  • Keywords

Simultaneous optimal controls, unsteady Stokes system, optimality condition.

  • AMS Subject Headings

49J20, 76D07, 65K10

  • Copyright

COPYRIGHT: © Global Science Press

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  • TXT
@Article{ATA-33-229, author = {Gariboldi , C. M. and Schwindt , E. L.}, title = {Simultaneous Optimal Controls for Non-Stationary Stokes Systems}, journal = {Analysis in Theory and Applications}, year = {2017}, volume = {33}, number = {3}, pages = {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.

}, issn = {1573-8175}, doi = {https://doi.org/10.4208/ata.2017.v33.n3.4}, url = {http://global-sci.org/intro/article_detail/ata/10514.html} }
TY - JOUR T1 - Simultaneous Optimal Controls for Non-Stationary Stokes Systems AU - Gariboldi , C. M. AU - Schwindt , E. L. JO - Analysis in Theory and Applications VL - 3 SP - 229 EP - 239 PY - 2017 DA - 2017/08 SN - 33 DO - http://doi.org/10.4208/ata.2017.v33.n3.4 UR - https://global-sci.org/intro/article_detail/ata/10514.html KW - Simultaneous optimal controls, unsteady Stokes system, optimality condition. AB -

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.

Gariboldi , C. M. and Schwindt , E. L.. (2017). Simultaneous Optimal Controls for Non-Stationary Stokes Systems. Analysis in Theory and Applications. 33 (3). 229-239. doi:10.4208/ata.2017.v33.n3.4
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