Abstract
In this paper we prove a local exact controllability of the Navier-Stokes equations with the condition on the pressure on parts of the boundary. The local exact controllability is proved by using a global Carleman inequality and an estimate of an equation adjoint to a linearized Navier-Stokes equation with the nonstandard boundary condition. We also obtain the null controllability of the linearized system by controls acting on an arbitrarily given subdomain.
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