带有源项的Chaplygin气体非对称Keyfitz-Kranzer方程组含狄拉克初值的广义黎曼问题

宋赟; 郭俐辉

doi:10.13568/j.cnki.651094.2019.03.006

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带有源项的Chaplygin气体非对称Keyfitz-Kranzer方程组含狄拉克初值的广义黎曼问题

更新时间：2026-01-21

- 带有源项的Chaplygin气体非对称Keyfitz-Kranzer方程组含狄拉克初值的广义黎曼问题
- Journal of Xinjiang University (Natural Science Edition in Chinese and English) Vol. 36, Issue 3, Pages: 292-302(2019)
- 作者机构：
  
  新疆大学数学与系统科学学院
- 作者简介：
- 基金信息：
- DOI：10.13568/j.cnki.651094.2019.03.006
  CLC： O175
- Published：2019
- 稿件说明：
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[1]宋赟,郭俐辉.带有源项的Chaplygin气体非对称Keyfitz-Kranzer方程组含狄拉克初值的广义黎曼问题[J].新疆大学学报(自然科学版),2019,36(03):292-302.
[1]宋赟,郭俐辉.带有源项的Chaplygin气体非对称Keyfitz-Kranzer方程组含狄拉克初值的广义黎曼问题[J].新疆大学学报(自然科学版),2019,36(03):292-302. DOI： 10.13568/j.cnki.651094.2019.03.006.

DOI：10.13568/j.cnki.651094.2019.03.006.

摘要

本文主要研究了带有源项的Chaplygin气体非对称Keyfitz-Kranzer方程组含狄拉克初值的广义黎曼问题.由于非齐次项的影响

带有源项的Chaplygin气体非对称Keyfitz-Kranzer方程组的黎曼解不再是自相似的.我们利用广义Rankine-Hugoniot条件和熵条件

构造性地得到了带有源项的Chaplygin气体非对称Keyfitz-Kranzer方程组含狄拉克初值的整体广义解.

Abstract

This paper is concerned with the Riemann problem with delta initial data for Chaplygin nonsymmetric Keyfitz-Kranzer system with a Coulomb-like friction term. It is interesting to see that the source term makes the Riemann solutions no longer self-similar. Delta contact discontinuities appear in some situations. Under generalized Rankine-Hugoniot conditions and entropy condition

we obtain the propagation speed

position and strength of delta shock wave. Furthermore

under delta initial data

stability of generalized solutions are obtained.

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Keywords

references

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