[Existence de solutions faibles globales dʼun modèle bicouche bidimensionnel de Saint-Venant]
Nous considérons un système composé par deux fluides immiscibles dans un domaine bidimensionnel pouvant être représenté par un modèle bicouche visqueux de Saint-Venant avec des termes de friction additionnels et des effets de capillarité. Nous donnons un théorème dʼexistence de solutions faibles globales dans un domaine périodique.
We consider a system composed by two immiscible fluids in two-dimensional space that can be modelized by a bilayer Shallow Water equations with extra friction terms and capillary effects. We give an existence theorem of global weak solutions in a periodic domain.
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@article{CRMATH_2011__349_5-6_285_0,
author = {Narbona-Reina, Gladys and Zabsonr\'e, Jean De Dieu},
title = {Existence of global weak solutions for a viscous {2D} bilayer {Shallow} {Water} model},
journal = {Comptes Rendus. Math\'ematique},
pages = {285--289},
publisher = {Elsevier},
volume = {349},
number = {5-6},
year = {2011},
doi = {10.1016/j.crma.2011.02.011},
language = {en},
url = {http://www.numdam.org/articles/10.1016/j.crma.2011.02.011/}
}
TY - JOUR AU - Narbona-Reina, Gladys AU - Zabsonré, Jean De Dieu TI - Existence of global weak solutions for a viscous 2D bilayer Shallow Water model JO - Comptes Rendus. Mathématique PY - 2011 SP - 285 EP - 289 VL - 349 IS - 5-6 PB - Elsevier UR - http://www.numdam.org/articles/10.1016/j.crma.2011.02.011/ DO - 10.1016/j.crma.2011.02.011 LA - en ID - CRMATH_2011__349_5-6_285_0 ER -
%0 Journal Article %A Narbona-Reina, Gladys %A Zabsonré, Jean De Dieu %T Existence of global weak solutions for a viscous 2D bilayer Shallow Water model %J Comptes Rendus. Mathématique %D 2011 %P 285-289 %V 349 %N 5-6 %I Elsevier %U http://www.numdam.org/articles/10.1016/j.crma.2011.02.011/ %R 10.1016/j.crma.2011.02.011 %G en %F CRMATH_2011__349_5-6_285_0
Narbona-Reina, Gladys; Zabsonré, Jean De Dieu. Existence of global weak solutions for a viscous 2D bilayer Shallow Water model. Comptes Rendus. Mathématique, Tome 349 (2011) no. 5-6, pp. 285-289. doi : 10.1016/j.crma.2011.02.011. http://www.numdam.org/articles/10.1016/j.crma.2011.02.011/
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