The limits of Riemann solutions for the isentropic Euler system with extended Chaplygin gas

被引：10

作者：

Tong, Meizi ^{[1
]}

Shen, Chun ^{[1
]}

机构：

[1] Ludong Univ, Sch Math & Stat Sci, Yantai 264025, Peoples R China

来源：

APPLICABLE ANALYSIS | 2019年 / 98卷 / 15期

关键词：

Extended Chaplygin gas; Chaplygin gas; delta shock wave; Riemann problem; isentropic Euler system; VANISHING PRESSURE LIMIT; DELTA-SHOCK-WAVES; VACUUM STATES; HYPERBOLIC SYSTEMS; EQUATIONS; PROPAGATION; DYNAMICS;

D O I：

10.1080/00036811.2018.1469009

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The Riemann problem for the isentropic Euler system with the state equation for the extended Chaplygin gas is considered, and the Riemann solutions are constructed completely for all the cases. The limiting relations of Riemann solutions for the isentropic Euler system with the state equation from the extended Chaplygin gas to the Chaplygin gas are derived in detail when the corrected term tends to zero. The formation of delta shock wave solution and two-contact-discontinuity solution is investigated during the process of taking the limit.

引用

页码：2668 / 2687

页数：20

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