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.
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页码：371 / 395
页数：25
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