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

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 s...

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Main Authors: Zongo Yacouba, Roamba Brahima, Yira Boulaye, De Dieu Zabsonré Jean
Format: Article
Language:English
Published: De Gruyter 2022-10-01
Series:Nonautonomous Dynamical Systems
Subjects:
Online Access:https://doi.org/10.1515/msds-2022-0153
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author Zongo Yacouba
Roamba Brahima
Yira Boulaye
De Dieu Zabsonré Jean
author_facet Zongo Yacouba
Roamba Brahima
Yira Boulaye
De Dieu Zabsonré Jean
author_sort Zongo Yacouba
collection DOAJ
description 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].
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spelling doaj.art-07ec116671964a6bb477cac76f4791cd2023-03-06T10:26:17ZengDe GruyterNonautonomous Dynamical Systems2353-06262022-10-019118220410.1515/msds-2022-0153On the existence of global weak solutions of a 2D sediment transport modelZongo Yacouba0Roamba Brahima1Yira Boulaye2De Dieu Zabsonré Jean3Classes Préparatoires aux Grandes Ecoles, Ecole Polytechnique de Ouagadougou, 08 BP 143 Ouaga 08, Burkina FasoIUT, Université Nazi BONI, 01 BP 1091 Bobo-Dioulasso 01, Burkina FasoUFR/SEA, Université Nazi BONI, 01 BP 1091 Bobo-Dioulasso 01, Burkina FasoIUT, Université Nazi BONI, 01 BP 1091 Bobo-Dioulasso 01, Burkina FasoIn 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].https://doi.org/10.1515/msds-2022-0153sediment transport modelreynold equationviscosityexistenceweak solutions 1535q3076d0586a0535q3535q86
spellingShingle Zongo Yacouba
Roamba Brahima
Yira Boulaye
De Dieu Zabsonré Jean
On the existence of global weak solutions of a 2D sediment transport model
Nonautonomous Dynamical Systems
sediment transport model
reynold equation
viscosity
existence
weak solutions 15
35q30
76d05
86a05
35q35
35q86
title On the existence of global weak solutions of a 2D sediment transport model
title_full On the existence of global weak solutions of a 2D sediment transport model
title_fullStr On the existence of global weak solutions of a 2D sediment transport model
title_full_unstemmed On the existence of global weak solutions of a 2D sediment transport model
title_short On the existence of global weak solutions of a 2D sediment transport model
title_sort on the existence of global weak solutions of a 2d sediment transport model
topic sediment transport model
reynold equation
viscosity
existence
weak solutions 15
35q30
76d05
86a05
35q35
35q86
url https://doi.org/10.1515/msds-2022-0153
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AT roambabrahima ontheexistenceofglobalweaksolutionsofa2dsedimenttransportmodel
AT yiraboulaye ontheexistenceofglobalweaksolutionsofa2dsedimenttransportmodel
AT dedieuzabsonrejean ontheexistenceofglobalweaksolutionsofa2dsedimenttransportmodel