A bidimensional bi-layer shallow-water model
Date
2017-07-05
Authors
Roamba, Brahima
Zabsonre, Jean de Dieu
Journal Title
Journal ISSN
Volume Title
Publisher
Texas State University, Department of Mathematics
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.
Description
Keywords
Shallow water, Bi-layer, Viscous models, Energetic consistency, Global weak solution
Citation
Roamba, B., & Zabsonre, J. (2017). A bidimensional bi-layer shallow-water model. <i>Electronic Journal of Differential Equations, 2017</i>(168), pp. 1-19.
Rights
Attribution 4.0 International