Comptes Rendus
Partial Differential Equations
Reproductive solution of a second-grade fluid system
[Solution reproductive d'un système de fluide de grade deux]
Comptes Rendus. Mathématique, Volume 348 (2010) no. 15-16, pp. 879-883.

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.

Reçu le :
Accepté le :
Publié le :
DOI : 10.1016/j.crma.2010.07.021

Luis Friz 1 ; Francisco Guillén-González 2 ; M.A. Rojas-Medar 1

1 Depto. Ciencias Básicas, Facultad de Ciencias, Universidad del Bío-Bío, Avenida Andrés Bello s/n, Casilla 447, Chillán, Chile
2 Dpto. de Ecuaciones Diferenciales y Análisis Numérico, Universidad de Sevilla, Apto. 1160, 41080 Sevilla, Spain
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Luis Friz; Francisco Guillén-González; M.A. Rojas-Medar. Reproductive solution of a second-grade fluid system. Comptes Rendus. Mathématique, Volume 348 (2010) no. 15-16, pp. 879-883. doi : 10.1016/j.crma.2010.07.021. https://comptes-rendus.academie-sciences.fr/mathematique/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.

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