Uniqueness of weak solutions to systems of conservation laws

被引：69

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

页码：301 / 317

页数：17

共 20 条

[1]

[Anonymous], 1970, MATH USSR SB

[2]

Bressan A, 1995, INDIANA U MATH J, V44, P677

[3] The semigroup generated by 2x2 conservation laws [J].