Null controllability in a fluid-solid structure model |
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Authors: | J-P Raymond M Vanninathan |
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Institution: | a Université de Toulouse, UPS, Institut de Mathématiques, 31062 Toulouse Cedex 9, France b CNRS, Institut de Mathématiques, UMR 5219, 31062 Toulouse Cedex 9, France c TIFR-CAM, Post Bag 6503, Bangalore 560065, India |
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Abstract: | We consider 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 we 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 we prove for the adjoint system. |
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