SIMULTANEOUS OPTIMAL CONTROLS FOR UNSTEADY STOKES SYSTEMS

Claudia M. Gariboldi (1) , Erica Schwindt (2)

1 UNRC - National University of Río Cuarto = Universidad Nacional de Río Cuarto
2 MAPMO - Mathématiques - Analyse, Probabilités, Modélisation - Orléans

This paper deal with optimal control problems for an unsteady Stokes system. We consider a simultaneous distributed-boundary optimal control problem with distributed observation. We prove the existence and uniqueness of an 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 problems.

Mots clés: unsteady Stokes equations; optimality conditions; Optimal control problems

Domaines: Mathématiques [math]; Optimisation et contrôle [math.OC]

Claudia M. Gariboldi, Erica Schwindt. SIMULTANEOUS OPTIMAL CONTROLS FOR UNSTEADY STOKES SYSTEMS. V MACI, May 2015, Tandil, Argentina. ⟨hal-01115036⟩