[Le système de Boussinesq à données limites mixtes peu regulières]
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 l'existence, la dépendance continue de la solution par rapport aux données et l'unicité de solution très faible pour ce système.
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.
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@article{CRMATH_2006__343_3_191_0,
author = {Villamizar-Roa, Elder J. and Rodr{\'\i}guez-Bellido, Maria Angeles and Rojas-Medar, Marko A.},
title = {The {Boussinesq} system with mixed nonsmooth boundary data},
journal = {Comptes Rendus. Math\'ematique},
pages = {191--196},
publisher = {Elsevier},
volume = {343},
number = {3},
year = {2006},
doi = {10.1016/j.crma.2006.06.011},
language = {en},
url = {http://www.numdam.org/articles/10.1016/j.crma.2006.06.011/}
}
TY - JOUR AU - Villamizar-Roa, Elder J. AU - Rodríguez-Bellido, Maria Angeles AU - Rojas-Medar, Marko A. TI - The Boussinesq system with mixed nonsmooth boundary data JO - Comptes Rendus. Mathématique PY - 2006 SP - 191 EP - 196 VL - 343 IS - 3 PB - Elsevier UR - http://www.numdam.org/articles/10.1016/j.crma.2006.06.011/ DO - 10.1016/j.crma.2006.06.011 LA - en ID - CRMATH_2006__343_3_191_0 ER -
%0 Journal Article %A Villamizar-Roa, Elder J. %A Rodríguez-Bellido, Maria Angeles %A Rojas-Medar, Marko A. %T The Boussinesq system with mixed nonsmooth boundary data %J Comptes Rendus. Mathématique %D 2006 %P 191-196 %V 343 %N 3 %I Elsevier %U http://www.numdam.org/articles/10.1016/j.crma.2006.06.011/ %R 10.1016/j.crma.2006.06.011 %G en %F CRMATH_2006__343_3_191_0
Villamizar-Roa, Elder J.; Rodríguez-Bellido, Maria Angeles; Rojas-Medar, Marko A. The Boussinesq system with mixed nonsmooth boundary data. Comptes Rendus. Mathématique, Tome 343 (2006) no. 3, pp. 191-196. doi : 10.1016/j.crma.2006.06.011. http://www.numdam.org/articles/10.1016/j.crma.2006.06.011/
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⁎ 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.
