On a Mathematical model for traveling sand dune

被引：0
|
作者：
Igbida, Noureddine [1 ]
Karami, Fahd [2 ]
Meskine, Driss [2 ]
机构：
[1] Univ Limoges, Fac Sci & Tech, CNRS, Inst Rech XLIM DMI,UMR 6172, Limoges, France
[2] Univ Cadi Ayyad, Ecole Super Technol Essaouira, BP 383, Essaouira El Jadida, Essaouira, Morocco
来源：
NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS | 2021年 / 62卷
关键词：
Sand dunes; Evolution surface model; Nonlocal equation; diffusion-transport equation; VELOCITIES; SELECTION; EVOLUTION; SHAPES;
D O I：
10.1016/j.nonrwa.2021.103356
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Our aim in this paper is to introduce and study a mathematical model for the description of traveling sand dunes. We use surface flow process of sand under the effect of wind and gravity. We model this phenomenon by a nonlinear diffusion- transport equation coupling the effect of transportation of sand due to the wind and the avalanches due to the gravity and the repose angle. The avalanche flow is governed by the evolution surface model and we use a nonlocal term to handle the transport of sand face to the wind. (C) 2021 Elsevier Ltd. All rights reserved.
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页数：12
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