Controllability of systems of Stokes equations with one control force: existence of insensitizing controls

Sergio Guerrero (1)

1 LJLL - Laboratoire Jacques-Louis Lions

In this paper we establish some exact controllability results for systems of tow parabolic equations of the Stokes kind. In the first part, we prove the existence of insensitizing controls for the L2 norm of the solutions and the curl of solutions of linear Stokes equations. Then, in the limit case where one can expect null controllability to hold for a system of two Stokes equations (namely, when the coupling terms concern first and second order derivatives), we prove this result for some general couplings

Domaines: Analyse numérique [math.NA]

Sergio Guerrero. Controllability of systems of Stokes equations with one control force: existence of insensitizing controls. 2006. ⟨hal-00120136⟩