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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Official URL: http://www.sciencedirect.com/science/article/pii/S...
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 |
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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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