Feedback stabilization of the 2-D and 3-D Navier-Stokes equations based on an extended system
Mehdi Badra (2008)
ESAIM: Control, Optimisation and Calculus of Variations
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We study the local exponential stabilization of the 2D and 3D Navier-Stokes equations in a bounded domain, around a given steady-state flow, by means of a boundary control. We look for a control so that the solution to the Navier-Stokes equations be a strong solution. In the 3D case, such solutions may exist if the Dirichlet control satisfies a compatibility condition with the initial condition. In order to determine a feedback law satisfying such a compatibility condition, we consider...