Kruzkov's estimates for scalar conservation laws revisited

被引：96

作者：

Bouchut, F

Perthame, B

机构：

[1] Univ Orleans, F-45067 Orleans 2, France

[2] CNRS, UMR 6628, Dept Math, F-45067 Orleans, France

[3] Univ Paris 06, Anal Numer Lab, F-75252 Paris 05, France

[4] Univ Paris 06, URA 189, F-75252 Paris 05, France

来源：

TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY | 1998年 / 350卷 / 07期

关键词：

multi-dimensional scalar conservation laws; error estimates; entropy inequalities; finite volumes;

D O I：

10.1090/S0002-9947-98-02204-1

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We give a synthetic statement of Kruzkov-type estimates ibr multidimensional scalar conservation laws. We apply it to obtain various estimates for different approximation problems. In particular we recover for a model equation the rate of convergence in h(1/4) known for finite volume methods on unstructured grids.

引用

页码：2847 / 2870

页数：24

共 20 条

[1]

[Anonymous], 1970, MATH USSR SB

[2] STRONG SOLUTIONS IN L(1) OF DEGENERATE PARABOLIC EQUATIONS [J].