A Remark on the Uniqueness of Solutions to Hyperbolic Conservation Laws

被引：0
|
作者：
Bressan, Alberto [1 ]
De Lellis, Camillo [2 ]
机构：
[1] Penn State Univ, Dept Math, University Pk, PA 16803 USA
[2] Inst Adv Study, Princeton, NJ 08540 USA
来源：
ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS | 2023年 / 247卷 / 06期
关键词：
RIEMANN PROBLEM; SYSTEMS;
D O I：
10.1007/s00205-023-01936-y
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Given a strictly hyperbolic n x n system of conservation laws, it is well known that there exists a unique Lipschitz semigroup of weak solutions, defined on a domain of functions with small total variation, which are limits of vanishing viscosity approximations. The aim of this note is to prove that everyweak solution taking values in the domain of the semigroup, and whose shocks satisfy the Liu admissibility conditions, actually coincides with a semigroup trajectory.
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