**Prof. Andrei Fursikov**

Moscow State University

**"Stabilization of parabolic equation and 2D Navier-Stokes System by Feedback Boundary Control"**

**Abstract:**

After discussion connected with physical notion of feedback control new mathematical formalization of this notion will be given. With its help and using the theory of not self-adjoint operators and theory of semigroups, stabilization problem for linear parabolic equation and for Oseen system will be solved. After that the result of (local) stabilization for 2D Navier-Stokes system by boundary feedback control will be formulated. This result is based on theory of invariant manifolds for evolution equations.

#### Friday, March 16, 2001

3:00 PM in 335 Jabara Hall

Please join us for refreshments before the lecture at 2:30p.m. in room 353 Jabara Hall.

[ Spring 2001]