三维可压Euler方程简单波及双重波结构

The Simple Waves and Double Waves Patterns for Three-Dimensional Compressible Euler Equations

本文研究了三维可压欧拉方程简单波解和双重波解的结构.给出了简单波的流动区域是被一族相互独立的平面所覆盖,沿着每个平面u,v,w从而p,ρ,c均为常数.双重波的流动区域是被一族相互独立的直线所覆盖,沿着每个特征平面u,v,w从而p,ρ,c均为常数.

In this paper,we are mainly concerned with simple waves and double waves of flow patterns for three-dimensional compressible Euler equations.The three-dimensional isentropic ir-rotational steady simple waves are a type of flow whose flow region is covered by a one parametric family of independent planes,along each of which u,v,w and consequently p,ρ,c remain constant,double waves are a type of flow whose flow region is covered by a two parametric family of independent lines,along each of which u,v,w and consequently p,ρ,c also remain constant.