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 - <p style="text-align: justify;">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.</p>