Abstract:
The question of the approximate controllability for the 2- and
the 3-dimensional Navier–Stokes system defined in the exterior of
a bounded domain $\omega$ or in the entire space is studied. It is shown that one can find
boundary controls or locally distributed controls (having support in a prescribed bounded domain) defined on the right-hand side of the system such that in prescribed time the solution of the Navier–Stokes system becomes arbitrarily close to an arbitrary prescribed divergence-free vector field.
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