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We provide explicit time-varying feedback laws that locally stabilize the twodimensional internal controlled incompressible Navier-Stokes equations inarbitrarily small time. We also obtain quantitative rapid stabilization viastationary feedback laws, as well as quantitative null controllability withexplicit controls having $e^{C/T}$ costs.

Small-time local stabilization of the two dimensional incompressible Navier-Stokes equations