Delta-shock for a class of strictly hyperbolic systems of conservation laws

被引：0
|
作者：
Li, Shiwei [1 ]
机构：
[1] Henan Univ Engn, Coll Sci, Zhengzhou 451191, Peoples R China
来源：
INTERNATIONAL JOURNAL OF NONLINEAR SCIENCES AND NUMERICAL SIMULATION | 2024年 / 24卷 / 08期
关键词：
delta-shock; numerical simulation; over-compressive delta-entropy condition; Rankine-Hugoniot relations; strictly hyperbolic systems; RIEMANN PROBLEM; ENTROPY SOLUTIONS; EXISTENCE; WAVES; UNIQUENESS; MODELS;
D O I：
10.1515/ijnsns-2021-0299
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
In this paper, a class of strictly hyperbolic systems of conservation laws which arises in connection with enhanced oil recovery is studied. The Riemann problem is solved analytically. The Riemann solutions with two kinds of different structures involving the delta-shock are obtained. For delta-shock, the generalized Rankine-Hugoniot relations and over-compressive delta-entropy condition are clarified. Further, the existence and uniqueness of delta-shock are established. The theoretical analysis is tested accurately by the numerical results.
引用
收藏
页码：2865 / 2876
页数：12
相关论文
共 50 条
12345