Local null controllability of a two-dimensional fluid-structure interaction problem
Muriel Boulakia, Axel Osses (2008)
ESAIM: Control, Optimisation and Calculus of Variations
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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 controllable, that is, for a given , the system can be driven at rest and the structure to its reference configuration at time . To show this result, we first consider a linearized...