Department of Mathematics, “Al.I. Cuza” University, Bd. Carol I nr. 11, 6600, Ia
i, Romania
Abstract:
One shows that the steady-state solutions to Navier–Stokes equations in d-dimensional domains Ω, d=2,3 with Dirichlet and slip curl boundary conditions are exponentially stabilizable by proportional controllers with the support in open subsets ωΩ such that Ωω is sufficiently “small”.