On the controllability of the 2-D incompressible Navier-Stokes equations with the Navier slip boundary conditions
Jean-Michel Coron (2010)
ESAIM: Control, Optimisation and Calculus of Variations
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For boundary or distributed controls, we get an approximate controllability result for the Navier-Stokes equations in dimension 2 in the case where the fluid is incompressible and slips on the boundary in agreement with the Navier slip boundary conditions.