Stability of the Riemann solution for a 2 × 2 strictly hyperbolic system of conservation laws

被引：0
作者：
Anupam Sen
T Raja Sekhar
Dia Zeidan
机构：
[1] Indian Institute of Technology Kharagpur,Department of Mathematics
[2] German Jordanian University,School of Basic Sciences and Humanities
来源：
Sādhanā | 2019年 / 44卷
关键词：
Riemann problem; delta shock wave; strictly hyperbolic system; flux approximation;
D O I：
暂无
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摘要：
In this work, we study the system of conservation laws that is strictly hyperbolic and whose Riemann solution contains delta shock waves as well as classical elementary waves. In order to study stability, we consider the linear approximation of flux functions with three parameters. The approximation does not affect the structure of Riemann solution. Furthermore, we prove that the solution of the Riemann problem for the approximated system converges to the solution of the original system when the perturbation parameter tends to zero.
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