The Riemann problem for the shallow water equations with discontinuous topography

被引：1

作者：

Lefloch, Philippe G. ^{[1
,2
]}

Thanh, Mai Duc ^{[3
]}

机构：

[1] Univ Paris 06, Lab Jacques Louis Lions, F-75252 Paris, France

[2] Univ Paris 06, CNRS, F-75252 Paris, France

[3] Int Univ, Dept Math, Ho Chi Minh City, Vietnam

来源：

COMMUNICATIONS IN MATHEMATICAL SCIENCES | 2007年 / 5卷 / 04期

关键词：

shallow water; conservation law; Riemann problem; discontinuous topography;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We construct the solution of the Riemann problem for the shallow water equations with discontinuous topography. The system under consideration is non-strictly hyperbolic and does not admit a fully conservative form, and we establish the existence of two-parameter wave sets, rather than wave curves. The selection of admissible waves is particularly challenging. Our construction is fully explicit, and leads to formulas that can be implemented numerically for the approximation of the general initial-value problem.

引用

页码：865 / 885

页数：21

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