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

  • Sergio Guerrero

    Laboratoire Jacques-Louis Lions, Université Pierre et Marie Curie, Boîte Corrier 187, 75035 Cedex 05 Paris, France

Abstract

In this paper we establish some exact controllability results for systems of two parabolic equations of the Stokes kind. In a first part, we prove the existence of insensitizing controls for the 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, respectively), we prove this result for some general couplings.

Cite this article

Sergio Guerrero, Controllability of systems of Stokes equations with one control force: existence of insensitizing controls. Ann. Inst. H. Poincaré Anal. Non Linéaire 24 (2007), no. 6, pp. 1029–1054

DOI 10.1016/J.ANIHPC.2006.11.001