Mathematical Problems in Mechanics
Existence of strong solutions for the problem of a rigid-fluid system
[Existence de solutions fortes pour le problème d'un système fluide–solide rigide]

Présenté par : Pierre-Louis Lions

Takahashi, Takéo1, 2
1 Institut Elie Cartan, faculté des sciences, BP 239, 54506 Vandoeuvre-lès-Nancy cedex, France
2 INRIA Lorraine, projet CORIDA, France
Comptes Rendus. Mathématique, Tome 336 (2003) no. 5, pp. 453-458.

Cette Note est consacrée à l'étude d'un problème d'interaction fluide–solide rigide. Le mouvement du fluide est modélisé par les équations de Navier–Stokes écrites dans un domaine qui dépend du déplacement du solide rigide. Notre résultat principal donne l'existence et l'unicité de solutions fortes, ces dernières étant globales tant que le corps rigide ne touche pas le bord.

This Note is devoted to the study of a fluid–rigid body interaction problem. The motion of the fluid is modelled by the Navier–Stokes equations, written in an unknown bounded domain depending on the displacement of the rigid body. Our main result yields the existence and uniqueness of strong solutions, which are global provided that the rigid body does not touch the boundary.

Reçu le :
Accepté le :
Publié le :
DOI : 10.1016/S1631-073X(03)00081-5
Takahashi, Takéo 1, 2

1 Institut Elie Cartan, faculté des sciences, BP 239, 54506 Vandoeuvre-lès-Nancy cedex, France
2 INRIA Lorraine, projet CORIDA, France 
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Takahashi, Takéo. Existence of strong solutions for the problem of a rigid-fluid system. Comptes Rendus. Mathématique, Tome 336 (2003) no. 5, pp. 453-458. doi : 10.1016/S1631-073X(03)00081-5. http://www.numdam.org/articles/10.1016/S1631-073X(03)00081-5/

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