Contractive metrics for scalar conservation laws

被引：22

作者：

Bolley, F

Brenier, Y

Loeper, G

机构：

[1] Ecole Normale Super Lyon, F-69364 Lyon 07, France

[2] Univ Nice Sophia Antipolis, CNRS, UMR 6621, Lab JA Dieudonne, F-06108 Nice, France

[3] Ecole Polytech Fed Lausanne, CH-10015 Lausanne, Switzerland

[4] Univ Toronto, Toronto, ON, Canada

来源：

JOURNAL OF HYPERBOLIC DIFFERENTIAL EQUATIONS | 2005年 / 2卷 / 01期

关键词：

conservation laws; entropy solutions; Wasserstein distance;

D O I：

10.1142/S0219891605000397

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider non-decreasing entropy solutions to 1-d scalar conservation laws and show that the spatial derivatives of such solutions satisfy a contraction property with respect to the Wasserstein distance of any order. This result extends the L-1-contraction property shown by Kruzkov.

引用

页码：91 / 107

页数：17

共 6 条

[1]

[Anonymous], 1999, SYSTEMS CONSERVATION

[2] SOLUTION OF QUASILINEAR EQUATION IN N-DIMENSIONAL SPACE USING LINEAR-EQUATIONS IN DIMENSION N+1 [J].