On the existence of global weak solutions of a 2D sediment transport model-Reference-Cited by-同舟云学术

On the existence of global weak solutions of a 2D sediment transport model

Published:2022-01-01 Issue:1 Volume:9 Page:182-204
ISSN:2353-0626
Container-title:Nonautonomous Dynamical Systems
language:en
Short-container-title:

Author:

Zongo Yacouba¹,Roamba Brahima²,Yira Boulaye³,De Dieu Zabsonré Jean²

Affiliation:

1. Classes Préparatoires aux Grandes Ecoles, Ecole Polytechnique de Ouagadougou , 08 BP 143 Ouaga 08 , Burkina Faso

2. IUT, Université Nazi BONI , 01 BP 1091 Bobo-Dioulasso 01 , Burkina Faso

3. UFR/SEA, Université Nazi BONI , 01 BP 1091 Bobo-Dioulasso 01 , Burkina Faso

Abstract

Abstract In the abstract, homogenize the references as follows: In this paper,we study the existence of global weak solutions of a two dimensionnal model. The model is inspired by the one studied in [Math. Models Methods Appl. Sci. 19 (2009), 477-499]. Our model is a particular case of the two-dimensionnal sediment transport model derived in [Mathematical Modelling and Numerical Analysis 51 (2017), 115-145]. The main contribution of this article is to extend the results obtained 10 in [C. R. Math. Acad. Sci. Paris, 344 (2007), 443-446; Math. Models Methods Appl. Sci. 19 (2009), 477-499] by showing the existence of global weak solution of a sediment transport model without assuming the data to be small enough, following the ideas proposed in [Inv. Math.206 (2016), 935-974].

Publisher

Walter de Gruyter GmbH

Subject

Applied Mathematics,Numerical Analysis,Statistics and Probability,Analysis

Link

https://www.degruyter.com/document/doi/10.1515/msds-2022-0153/pdf

Reference26 articles.

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