广义Chaplygin气体Euler方程组的Riemann 问题

摘要

研究了一维广义Chaplygin气体Euler方程组的Riemann问题.利用特征分析方法,得到了Riemann问题解的存在性和唯一性.和多方气体不同的是,广义Chaplygin气体Euler方程组会出现质量集中的解.%This paper is concerned with the Riemann problem of Euler equations for one-dimensional generalized Chaplygin gas. Using characteristic analysis, we get the existence and uniqueness of the Riemann solutions. Different from the polytropic gas, the Euler equations for generalized Chaplygin Gas appear the mass concentration solution.