Abstract

One designs a stabilizable feedback controller for the Stokes–Oseen equation in an open domain O⊂Rd, d≥2, with support in a finite set of points ξk∈O, j=1,…,M. More precisely, Md≥N, where N is the number of unstable eigenvalues of the Stokes–Oseen operator. The controller is expressed in terms of eigenfunctions φj∗,1≤j≤N, of the dual Stokes–Oseen operator.

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