非等熵Chaplygin气体极限黎曼解 关于扰动的依赖性

主要研究了非等熵Chaplygin气体黎曼问题初值扰动后解的结构,分析了经典的黎曼问题和扰动问题解的结构及极限结构,发现后者的极限解在δ质量权趋于零时不同于前者解的结构.该结果表明对非等熵Chaplygin气体而言,经典的黎曼问题与带δ初值的黎曼问题有着本质的区别.

The Dependence of Limit Riemann Solution for a Non-isentropic Chaplygin Gas on Perturbation

A perturbation of the Riemann problem for a non-isentropic Chaplygin gas is studied in this paper. Both the respective solutions to the usual Riemann problem and Riemann problem with initial delta datum, which could be reviewed as a limit process of perturbation of the usual Riemann data, are obtained. It is found that the limit solution to the latter one differs from the former one when the weight of the initial delta datum goes to zero. This conclusion indicates that there is essential difference between the usual Riemann problem and the Riemann problem with initial delta datum for a non-isentropic gas.