Null controllability in a fluid-solid structure model

Raymond, J. -P. ; Vanninathan, M. (2010) Null controllability in a fluid-solid structure model Journal of Differential Equations, 248 (7). pp. 1826-1865. ISSN 0022-0396

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Related URL: http://dx.doi.org/10.1016/j.jde.2009.09.015

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.

Item Type:Article
Source:Copyright of this article belongs to Elsevier Science.
ID Code:55333
Deposited On:18 Aug 2011 07:10
Last Modified:18 May 2016 07:38

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