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...
Main Authors: | , , , |
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Format: | Article |
Language: | English |
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De Gruyter
2022-10-01
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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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format | Article |
id | doaj.art-07ec116671964a6bb477cac76f4791cd |
institution | Directory Open Access Journal |
issn | 2353-0626 |
language | English |
last_indexed | 2024-04-10T05:40:36Z |
publishDate | 2022-10-01 |
publisher | De Gruyter |
record_format | Article |
series | Nonautonomous Dynamical Systems |
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 |
work_keys_str_mv | AT zongoyacouba ontheexistenceofglobalweaksolutionsofa2dsedimenttransportmodel AT roambabrahima ontheexistenceofglobalweaksolutionsofa2dsedimenttransportmodel AT yiraboulaye ontheexistenceofglobalweaksolutionsofa2dsedimenttransportmodel AT dedieuzabsonrejean ontheexistenceofglobalweaksolutionsofa2dsedimenttransportmodel |