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Comptes Rendus Mathématique
Volume 343, n° 3
pages 191-196 (août 2006)
Doi : 10.1016/j.crma.2006.06.011
Received : 8 July 2005 ;  accepted : 1 June 2006
The Boussinesq system with mixed nonsmooth boundary data
Le système de Boussinesq à données limites mixtes peu regulières
 

Elder J. Villamizar-Roa a , Maria Angeles Rodríguez-Bellido b , Marko A. Rojas-Medar c
a Escuela de Matemáticas, Universidad Industrial de Santander, A.A. 678, Bucaramanga-Santander, Colombia 
b Dpto. de Ecuaciones Diferenciales y Análisis Numérico, Universidad de Sevilla, Apto. 1160, 41080 Sevilla, Spain 
c IMECC-UNICAMP, CP 6065, 13083-970, Campinas-SP, Brazil 

Abstract

We treat the stationary Boussinesq system with nonsmooth mixed boundary conditions for the temperature, and nonsmooth Dirichlet boundary condition for the velocity. We prove the existence, the continuous dependence of the solution with respect to the data and the uniqueness of the very weak solution. To cite this article: E.J. Villamizar-Roa et al., C. R. Acad. Sci. Paris, Ser. I 343 (2006).

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

On traite le système de Boussinesq stationnaire aux conditions limites mixtes peu régulières pour la température, et aux conditions limites Dirichlet peu régulière pour la vitesse. On montre lʼexistence, la dépendance continue de la solution par rapport aux données et lʼunicité de solution très faible pour ce système. Pour citer cet article : E.J. Villamizar-Roa et al., C. R. Acad. Sci. Paris, Ser. I 343 (2006).

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

 The first author is supported by Universidad Industrial de Santander and COLCIENCIAS-Colombia, Project COLCIENCIAS-BID III etapa. The second and third authors have been partially supported by D.G.E.S. & M.C. y T. (Spain), Projet BFM2003-06446-C02-01. The third author has been partially supported by CNPq-Brazil, grant No. 301354/03-0.



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