# American Institute of Mathematical Sciences

January & February  2004, 10(1&2): 289-314. doi: 10.3934/dcds.2004.10.289

## Stabilization for the 3D Navier-Stokes system by feedback boundary control

 1 Department of Mechanics and Mathematics, Moscow State University, 119899 Moscow, Russian Federation

Received  November 2001 Revised  December 2002 Published  October 2003

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 [6], [7] where stabilization problem for parabolic equation and for 2D Navier-Stokes system was studied.
Citation: A. V. Fursikov. Stabilization for the 3D Navier-Stokes system by feedback boundary control. Discrete & Continuous Dynamical Systems - A, 2004, 10 (1&2) : 289-314. doi: 10.3934/dcds.2004.10.289
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