Stabilization for the 3D Navier-Stokes system by feedback boundary control
A. V. Fursikov - Department of Mechanics and Mathematics, Moscow State University, 119899 Moscow, Russian Federation (email)
Abstract: We study the problem of stabilization a solution to 3D Navier-Stokes system given in a bounded domain $\Omega$. This stabilization is carried out with help of feedback control defined on a part $\Gamma$ of boundary $\partial \Omega$. We assume that $\Gamma$ is closed 2D manifold without boundary. Here we continuer investigation begun in ,  where stabilization problem for parabolic equation and for 2D Navier-Stokes system was studied.
Keywords: Navier-Stokes equations, stabilization, Carleman estimate, extension operator, invariant manifold.
Received: November 2001; Revised: December 2002; Published: October 2003.
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