Abstract

In this paper we prove the existence of insensitizing controls, having one vanishing component, for the local L2-norm of the solutions of the Navier-Stokes system. This problem can be recast as a null controllability problem for a nonlinear cascade system. We first prove a controllability result, with controls having one vanishing component, for a linear problem. Then, by means of an inverse mapping theorem, we deduce the controllability for the cascade system. © 2013 Elsevier Masson SAS.