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一类广义压力下的二维可压缩欧拉方程的特征分解
Characteristic Decomposition of the Two-Dimensional Compressible Euler System for a Class of Pressure Laws

DOI: 10.12677/PM.2021.114073, PP. 599-605

Keywords: 欧拉方程，特征分解，简单波
Euler Equations, Characteristic Decomposition, Simple Wave

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Abstract:

本文利用直接方法讨论了一类压力下二维可压缩欧拉系统的特征分解存在的充分条件，得到了压强p与特征值Λ±的特征分解，证明了与常状态相邻的任何波都是简单波。
This paper is considering a two-dimensional compressible Euler system for a class of pressure laws, a direct method is used to discuss the sufficient conditions for the existence of the characteristic decomposition and the decompositions of the pressure p and the characteristics Λ± are obtained. It is found that any wave adjacent to a constant state is a simple wave.

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