A shallow-water sedimentation model with friction and Coriolis:: An existence theorem

被引：4

作者：

Toumbou, Babacar ^{[1
,2
]}

Le Roux, Daniel Y. ^{[1
]}

Sene, Abdou ^{[2
]}

机构：

[1] Univ Laval, Dept Math & Stat, Ste Foy, PQ G1K 7P4, Canada

[2] Univ Gaston Berger, UFR Sci Appl & Technol, St Louis, Senegal

来源：

JOURNAL OF DIFFERENTIAL EQUATIONS | 2008年 / 244卷 / 08期

关键词：

shallow water model; sediment transport; Galerkin method;

D O I：

10.1016/j.jde.2007.12.010

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We present an existence theorem of a two-dimensional sedimentation model coupling a shallow water system with a sediment transport equation. The shallow water system includes Coriolis and friction terms. A Galerkin method is used to obtain a finite-dimensional problem which is solved using a Brouwer fixed point theorem. We prove that the limits of the resulting solution sequences satisfy the model equations. (C) 2008 Elsevier Inc. All rights reserved.

引用

页码：2020 / 2040

页数：21

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