Null controllability in a fluid-solid structure model (Q960830)

The authors investigate a system coupling the Stokes equations in a two-dimensional domain with a structure equation, which is a system of ordinary differential equations corresponding to a finite dimensional approximation of equations modeling deformations of an elastic body or vibrations of a rigid body. For that system, they establish a null controllability result for localized distributed controls acting only in the fluid equations and there is no control in the solid part. This controllability result follows from a Carleman inequality that the authors prove for the adjoint system.