Null controllability of a penalized Stokes problem in dimension two with one scalar control

Jon Asier Bárcena-Petisco (1)

1 LJLL - Laboratoire Jacques-Louis Lions

In this paper we consider a penalized Stokes equation defined in a regular domain Ω ⊂ R² and with Dirichlet boundary conditions. We prove that our system is null controllable using a scalar control defined in an open subset inside Ω and whose cost is bounded uniformly with respect to the parameter that converges to 0.

Mots clés: penalized Stokes system; Carleman inequality; controllability

Domaines: Optimisation et contrôle [math.OC]; Equations aux dérivées partielles [math.AP]

Jon Asier Bárcena-Petisco. Null controllability of a penalized Stokes problem in dimension two with one scalar control. 2019. ⟨hal-01811354v4⟩