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Theses

Stabilisation frontière du système élastodynamique en présence de singularités

Abstract : We consider the case of a weakly elastic body, with a sinked part along its boundary. Our problem is to build a control along the free part of the boundary, such that the energy function vanishes as quick as possible.

In other words, we consider an elastodynamic system, damped by a Neumann feedback on the free part of the boundary. We assume that homogen Dirichlet condition holds on the other part. We obtain linear and nonlinear boundary stabilization results, and a controllability result. We need so-called Rellich relations, and we use multipliers method.

The originality of this work lies in the existence of a non-empty interface between Dirichlet part and Neumann part, which generates singularities.
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https://tel.archives-ouvertes.fr/tel-00008910
Contributor : Romain Brossard <>
Submitted on : Wednesday, March 30, 2005 - 7:17:14 PM
Last modification on : Wednesday, July 8, 2020 - 12:42:05 PM
Long-term archiving on: : Friday, September 14, 2012 - 12:30:33 PM

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  • HAL Id : tel-00008910, version 1

Citation

Romain Brossard. Stabilisation frontière du système élastodynamique en présence de singularités. Mathématiques [math]. Ecole Centrale de Lyon, 2004. Français. ⟨tel-00008910⟩

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