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.