[Existence d'une solution faible pour un problème d'interaction fluide visqueux compressible-solide élastique]
Nous présentons ici un résultat d'existence de solutions faibles pour un problème d'interaction entre une structure élastique et un fluide compressible en dimension trois. Les solutions sont définies tant qu'il n'y pas de chocs et tant que le déplacement de la structure vérifie des conditions de non-interpénétration et de préservation de l'orientation.
We prove an existence result of weak solutions for an interaction problem between an elastic structure and a compressible fluid in three space dimensions. Solutions are defined as long as there is no collision and as long as conditions of non-interpenetration and of preservation of orientation are satisfied by the displacement field of the structure.
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@article{CRMATH_2005__340_2_113_0,
author = {Boulakia, Muriel},
title = {Existence of weak solutions for an interaction problem between an elastic structure and a compressible viscous fluid},
journal = {Comptes Rendus. Math\'ematique},
pages = {113--118},
publisher = {Elsevier},
volume = {340},
number = {2},
year = {2005},
doi = {10.1016/j.crma.2004.11.003},
language = {en},
url = {http://www.numdam.org/articles/10.1016/j.crma.2004.11.003/}
}
TY - JOUR AU - Boulakia, Muriel TI - Existence of weak solutions for an interaction problem between an elastic structure and a compressible viscous fluid JO - Comptes Rendus. Mathématique PY - 2005 SP - 113 EP - 118 VL - 340 IS - 2 PB - Elsevier UR - http://www.numdam.org/articles/10.1016/j.crma.2004.11.003/ DO - 10.1016/j.crma.2004.11.003 LA - en ID - CRMATH_2005__340_2_113_0 ER -
%0 Journal Article %A Boulakia, Muriel %T Existence of weak solutions for an interaction problem between an elastic structure and a compressible viscous fluid %J Comptes Rendus. Mathématique %D 2005 %P 113-118 %V 340 %N 2 %I Elsevier %U http://www.numdam.org/articles/10.1016/j.crma.2004.11.003/ %R 10.1016/j.crma.2004.11.003 %G en %F CRMATH_2005__340_2_113_0
Boulakia, Muriel. Existence of weak solutions for an interaction problem between an elastic structure and a compressible viscous fluid. Comptes Rendus. Mathématique, Tome 340 (2005) no. 2, pp. 113-118. doi : 10.1016/j.crma.2004.11.003. http://www.numdam.org/articles/10.1016/j.crma.2004.11.003/
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