广义Chaplygin气体磁流体力学方程组的Riemann问题

Riemann problem for generalized Chaplygin magnetogasdynamics equations

利用特征分析和相平面分析的方法,由Rankine-Hugoniot条件和稳定性条件,构造性地得到了一维等熵广义Chaplygin气体磁流体力学方程组的Riemann解的存在唯一性.同时,详细研究了疏散波曲线和激波曲线的性质.

Utilizing the characteristic analysis and the phase plane analysis meth- od, the existence and uniqueness of the Riemann solutions to one dimensional isen- tropic magnetogasdynamics equations for the generalized Chaplygin gas are ob- tained constructively by the Rankine-Hugoniot relation and the entropy condition. Furthermore, the behavior of rarefaction wave curves and shock wave curves are considered in detail.