UAH > Math > Colloquia > 4/14/2006
We study the exponential stabilization of Navier-Stokes equations around an unstable stationary solution, by boundary feedback control. The feedback law is determined by Linear-Quadratic problem associated with the linearized Navier-Stokes equations. We show that the linear feedback law exponentially stabilizes stationary solutions for arbitrary Reynolds numbers. The feedback law is shown to provide stability in both L2 and H1 norms. Feasibility of the proposed feedback design is numerically demonstrated for the stabilization of flow past an airfoil at high angle of attack. The feedback gain is computed using a novel model-order reduction via POD-Galerkin projection technique. The computational results confirm the stability properties predicted by the theory.