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Bresch, D. and Desjardins, B. (2003) Existence of Global Weak Solution for 2D Viscous Shallow Water Equations and Convergence to the Quasi-Geostrophic Model. Communications in Mathematical Physics, 238, 211-223.
https://doi.org/10.1007/s00220-003-0859-8

has been cited by the following article:

• TITLE: On the Existence of Global Weak Solutions to 1D Sediment Transport Model

  AUTHORS: Roamba Brahima, Zongo Yacouba, Yira Boulaye, Zabsonré Jean de Dieu

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

  JOURNAL NAME: Journal of Applied Mathematics and Physics, Vol.9 No.5, May 27, 2021

  ABSTRACT: 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).