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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