Numerical criterion for the stabilization of steady states of the Navier-Stokes equations
Numerical criterion for the stabilization of steady states of the Navier-Stokes equations
This paper introduces an explicit numerical criterion for the stabilization of steady state solutions of the Navier-Stokes equations (NSE) with linear feedback control.Given a linear feedback controller that stabilizes a steady state solution to the closed-loop standard Galerkin (or nonlinear Galerkin) NSE discretization, it is shown that, if the number …