简单波和二维非线性波动系统的特征分解

Simple Waves and Characteristic Decompositions of the Two-Dimensional Nonlinear Wave System

本文考虑具有广义Chaplygin气体的二维非线性波动系统,对可压缩欧拉系统进行简化,得到了自相似平面上压力变量和倾斜角变量沿着特征线的简单波和一些特征分解,这些结果是Courant和Friedrichs专著中关于可约方程的著名定理的推广。

In this paper, we consider a two-dimensional nonlinear wave system with generalized Chaplygin gas which is simplified model of the compressible Euler system and get simple waves and some characteristic decompositions for the pressure variable and inclination angle variables along the characteristic curves in the self-similar plane. These results are generalization of the well-known theorem on reducible equations in Courant and Friedrichs’s monograph.