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Internal stabilizability of the Navier–Stokes equations
Authors:Viorel Barbu  C t lin Lefter
Affiliation:Department of Mathematics, “Al.I. Cuza” University, Bd. Carol I nr. 11, 6600, IaImage 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”.
Keywords:Navier–  Stokes equations  Eigenvalue  Stabilizable  Steady-state solutions  Feedback controller
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