Remarks on exact controllability for the Navier-Stokes equations
Oleg Yu. Imanuvilov (2010)
ESAIM: Control, Optimisation and Calculus of Variations
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We study the local exact controllability problem for the Navier-Stokes equations that describe an incompressible fluid flow in a bounded domain with control distributed in a subdomain . The result that we obtained in this paper is as follows. Suppose that is a given solution of the Navier-Stokes equations. Let be a given initial condition and where is small enough. Then there exists a locally distributed control such that the solution of the Navier-Stokes equations: ...