Author(s)

Roamba Brahima^1,2*, Zongo Yacouba³, Yira Boulaye³, Zabsonré Jean de Dieu^1,2

¹Laboratoire de Mathématiques d’Informatique et Applications (LaMIA), Université Nazi Boni, Bobo-Dioulasso, Burkina Faso.
²Intitut Universitaire de Technologie (IUT), Université Nazi Boni, Bobo-Dioulasso, Burkina Faso.
³UFR/Sciences et Techniques, Université Nazi Boni, Bobo-Dioulasso, Burkina Faso.

This paper is devoted to the study of the existence of weak solution in time with a periodic domain of sediment transport model. We consider a one-dimensional viscous sediment transport model which combines a viscous Shallow-Water system with a transport equation that describes the bottom evolution. The model studied does not take into account all the regularizing terms used by Roamba Brahima, Zongo Yacouba and Jean de Dieu Zabsonré (2017) and we use a better transport equation than that used by Zabsonré (2012).

Shallow-Water, Sediment Transport, Viscous Model, Weak Solution

Brahima, R. , Yacouba, Z. , Boulaye, Y. and Dieu, Z. (2021) On the Existence of Global Weak Solutions to 1D Sediment Transport Model. Journal of Applied Mathematics and Physics, 9, 1065-1075. doi: 10.4236/jamp.2021.95073.