Electron. J. Differential Equations, Vol. 2017 (2017), No. 168, pp. 1-19.

A bidimensional bi-layer shallow-water model

Brahima Roamba, Jean de Dieu Zabsonre

Abstract:
The existence of global weak solutions in a periodic domain for a non-linear viscous bi-layer shallow-water model with capillarity effects and extra friction terms in a two-dimensional space has been proved in [21]. The main contribution of this article is to show the existence of global weak solutions without friction term or capillary effect following the ideas of [20] for the two dimensional case.

Submitted January 20, 2017. Published July 5, 2017.
Math Subject Classifications: 35Q30, 76B15.
Key Words: Shallow water; bi-layer; viscous models; energetic consistency; global weak solution.

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Brahima Roamba
UFR/ST, IUT, Université Nazi Boni
10 BP 1091 Bobo-Dioulasso, Burkina Faso
email: braroamba@gmail.com
Jean de Dieu Zabsonre
IUT, Université Nazi Boni
10 BP 1091 Bobo-Dioulasso, Burkina Faso
email: jzabsonre@gmail.com

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