Comparison of Riemann Solutions for Non-isentropic Modified and Pure Chaplygin Gas Dynamics

被引：0

作者：

Wu, Wen-jia ^{[1
]}

Wang, Li ^{[1
]}

机构：

[1] Shanghai Dianji Univ, Dept Arts & Sci, Shanghai 201306, Peoples R China

来源：

ACTA MATHEMATICAE APPLICATAE SINICA-ENGLISH SERIES | 2023年 / 39卷 / 03期

关键词：

modified Chaplygin gas; & delta; -shock waves; Riemann problem; generalized Rankine-Hugoniot conditions; VANISHING PRESSURE LIMIT; EULER EQUATIONS; VACUUM STATES; DELTA-SHOCKS;

D O I：

10.1007/s10255-023-1085-0

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we investigate the Riemann solutions of the non-isentropic Euler equations for the modified Chaplygin gas and the pure Chaplygin gas, which are the set of all rarefaction waves, shock waves, contact discontinuity and d-shock waves. Under some appropriate conditions, by studing the limiting behavior, we find that the Riemann solutions of modified Chaplygin gas is the same as pure Chaplygin gas including the d-shock waves.

引用

页码：733 / 751

页数：19

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