Université de Toulouse
Local stabilization of 2D and 3D fluid-structure models
We shall address the problem of stabilizing systems coupling the incompressible Navier-Stokes equations in a 3D domain with an elastic damped structure located at the boundary of the fluid domain. The goal is to find a control acting in the structure equation, able to stabilize the underlying coupled system, with an arbitrarily prescribed exponential decay rate, around an unstable stationary solution of the coupled system. I shall present recent results obtained for 2D or 3D domains in collaboration with D. Maity, M. Ndiaye, M. Fournié, and some numerical simulations in 2D showing the efficiency of feedback control laws to stabilize coupled systems.
