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.
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.
引文
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