Delta-shock for a class of systems of conservation laws of the Keyfitz-Kranzer type

被引：3

作者：

Li, Shiwei ^{[1
,2
]}

机构：

[1] Henan Univ Engn, Coll Sci, Zhengzhou, Peoples R China

[2] Henan Univ Engn, Coll Sci, Zhengzhou 451191, Peoples R China

来源：

MATHEMATISCHE NACHRICHTEN | 2024年 / 297卷 / 03期

关键词：

conservation laws; delta-shock; entropy condition; Rankine-Hugoniot relation; vanishing viscosity method; LIMITING VISCOSITY APPROACH; RIEMANN PROBLEM; HYPERBOLIC SYSTEMS; VANISHING VISCOSITY; WAVES; EQUATIONS;

D O I：

10.1002/mana.202300053

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Riemann problem for a class of systems of conservation laws of Keyfitz-Kranzer type is solved. The Riemann solutions contain three kinds of interesting structures, two of which contain vacuum and the other includes delta-shock. The generalized Rankine-Hugoniot relation and improved entropy condition are proposed to solve the delta-shock. Besides, with the use of the vanishing viscosity method, all of the existence, uniqueness, and stability of the solutions involving the delta-shock are proved.

引用

页码：1042 / 1061

页数：20

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