Existence and uniqueness of entropy solution of scalar conservation laws with a flux function involving discontinuous coefficients

被引：58

作者：

Bachmann, F

Vovelle, J ^{[1
]}

机构：

[1] ENS Cachan, Lab IRMAR, Antenne Bretagne, Rennes, France

[2] CMI, Lab LATP, Marseille, France

来源：

COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS | 2006年 / 31卷 / 03期

关键词：

conservation law; discontinuous flux; uniqueness;

D O I：

10.1080/03605300500358095

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, the question of existence and uniqueness for entropy solutions of scalar conservation laws with a flux function which is discontinuous with respect to the space variable is investigated. We show that no extra assumption of convexity or genuine non-linearity with respect to the state variable of the flux function is required for the problem to be well-posed and prove it. The proof uses a kinetic formulation of the conservation law.

引用

页码：371 / 395

页数：25

共 26 条

[1] Uniqueness for scalar conservation laws with discontinuous flux via adapted entropies [J].