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Comptes Rendus Mathématique
Volume 348, n° 15-16
pages 879-883 (août 2010)
Doi : 10.1016/j.crma.2010.07.021
Received : 15 September 2009 ;  accepted : 22 July 2010
Reproductive solution of a second-grade fluid system
Solution reproductive d'un système de fluide de grade deux
 

Luis Friz a , Francisco Guillén-González b , M.A. Rojas-Medar a
a Depto. Ciencias Básicas, Facultad de Ciencias, Universidad del Bío-Bío, Avenida Andrés Bello s/n, Casilla 447, Chillán, Chile 
b Dpto. de Ecuaciones Diferenciales y Análisis Numérico, Universidad de Sevilla, Apto. 1160, 41080 Sevilla, Spain 

Abstract

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.

The full text of this article is available in PDF format.
Résumé

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.

The full text of this article is available in PDF format.

 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.



© 2010  Published by Elsevier Masson SAS de la part de Académie des sciences.
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