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Local null controllability of a two-dimensional fluid-structure interaction problem

Local null controllability of a two-dimensional fluid-structure interaction problem

In this paper, we prove a controllability result for a fluid-structure interaction problem. In dimension two, a rigid structure moves into an incompressible fluid governed by Navier-Stokes equations. The control acts on a fixed subset of the fluid domain. We prove that, for small initial data, this system is null …