[Solution reproductive d'un système de fluide de grade deux]
On traite l'existence et l'unicité de la solution reproductive d'un système de fluide de grade deux avec des termes sources suffisamments petits, en utilisant la méthode d'approximation de Galerkin et des arguments de compacité.
We treat the existence and uniqueness of reproductive solution (weak time-periodic solution) of a second-grade fluid system for small enough source terms, by using the Galerkin approximation method and compactness arguments.
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@article{CRMATH_2010__348_15-16_879_0,
author = {Friz, Luis and Guill\'en-Gonz\'alez, Francisco and Rojas-Medar, M.A.},
title = {Reproductive solution of a second-grade fluid system},
journal = {Comptes Rendus. Math\'ematique},
pages = {879--883},
publisher = {Elsevier},
volume = {348},
number = {15-16},
year = {2010},
doi = {10.1016/j.crma.2010.07.021},
language = {en},
url = {http://www.numdam.org/articles/10.1016/j.crma.2010.07.021/}
}
TY - JOUR AU - Friz, Luis AU - Guillén-González, Francisco AU - Rojas-Medar, M.A. TI - Reproductive solution of a second-grade fluid system JO - Comptes Rendus. Mathématique PY - 2010 SP - 879 EP - 883 VL - 348 IS - 15-16 PB - Elsevier UR - http://www.numdam.org/articles/10.1016/j.crma.2010.07.021/ DO - 10.1016/j.crma.2010.07.021 LA - en ID - CRMATH_2010__348_15-16_879_0 ER -
%0 Journal Article %A Friz, Luis %A Guillén-González, Francisco %A Rojas-Medar, M.A. %T Reproductive solution of a second-grade fluid system %J Comptes Rendus. Mathématique %D 2010 %P 879-883 %V 348 %N 15-16 %I Elsevier %U http://www.numdam.org/articles/10.1016/j.crma.2010.07.021/ %R 10.1016/j.crma.2010.07.021 %G en %F CRMATH_2010__348_15-16_879_0
Friz, Luis; Guillén-González, Francisco; Rojas-Medar, M.A. Reproductive solution of a second-grade fluid system. Comptes Rendus. Mathématique, Tome 348 (2010) no. 15-16, pp. 879-883. doi : 10.1016/j.crma.2010.07.021. http://www.numdam.org/articles/10.1016/j.crma.2010.07.021/
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Cité par Sources :
☆ The first author is supported by FONDECYT-Chile Grant 1090510. The second and third authors were supported by project DGI-MEC Grant MTM2006-07932, Spain and FONDECYT-Chile Grant 1080628. Moreover, the second author also was supported by Junta de Andalucía project P06-FQM-02373, Spain.
