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Theses

Modélisation et analyse mathématique de problèmes d'interaction fluide-structure

Abstract : This thesis deals with fluid-structure interaction problems. We consider two types of problems: the interaction between an elastic structure and an incompressible fluid and the interaction between an elastic structure and a compressible fluid. The structure is immersed in the fluid and the fluid and the structure are contained in a fixed bounded set. The displacement of the structure is composed of a rigid motion (translation and rotation) combined with an elastic motion. In the equation of the solid motion, we add a regularizing term. After explanations on the derivation of the models, we give existence results of weak solutions defined as long as no collisions occur and as long as conditions of non-interpenetration and of preservation of orientation are satisfied.
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https://tel.archives-ouvertes.fr/tel-00008138
Contributor : Muriel Boulakia <>
Submitted on : Thursday, January 20, 2005 - 11:42:05 AM
Last modification on : Tuesday, November 17, 2020 - 1:50:03 PM
Long-term archiving on: : Friday, April 2, 2010 - 9:09:45 PM

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  • HAL Id : tel-00008138, version 1

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Muriel Boulakia. Modélisation et analyse mathématique de problèmes d'interaction fluide-structure. Mathématiques [math]. Université de Versailles-Saint Quentin en Yvelines, 2004. Français. ⟨tel-00008138⟩

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