Uniqueness of weak solutions to systems of conservation laws

被引：68
|
作者：
Bressan, A
LeFloch, P
机构：
[1] SISSA, I-34014 Trieste, Italy
[2] Ecole Polytech, CNRS, F-91128 Palaiseau, France
[3] Ecole Polytech, CMAP, F-91128 Palaiseau, France
来源：
ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS | 1997年 / 140卷 / 04期
关键词：
D O I：
10.1007/s002050050068
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Consider a strictly hyperbolic n x n system of conservation laws in one space dimension: u(t) + F(u)(x) = 0. (*) Relying on the existence of the Standard Riemann Semigroup generated by (*), we establish the uniqueness of entropy-admissible weak solutions to the Cauchy problem, under a mild assumption on the variation of u along spacelike segments.
引用
收藏
页码：301 / 317
页数：17
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