Simple waves and a characteristic decomposition of the two dimensional compressible Euler equations

被引：167

作者：

Li, Jiequan ^{[1
]}

Zhang, Tong

Zheng, Yuxi

机构：

[1] Capital Normal Univ, Dept Math, Beijing 100037, Peoples R China

[2] Chinese Acad Sci, Inst Math, Beijing 100080, Peoples R China

[3] Penn State Univ, Dept Math, University Pk, PA 16802 USA

来源：

COMMUNICATIONS IN MATHEMATICAL PHYSICS | 2006年 / 267卷 / 01期

关键词：

Constant State; Simple Wave; Euler System; Riemann Invariant; Characteristic Decomposition;

D O I：

10.1007/s00220-006-0033-1

中图分类号：

O4 [物理学];

学科分类号：

0702 [物理学];

摘要：

We present a characteristic decomposition of the potential flow equation in the self-similar plane. The decomposition allows for a proof that any wave adjacent to a constant state is a simple wave for the adiabatic Euler system. This result is a generalization of the well-known result on 2-d steady potential flow and a recent similar result on the pressure gradient system.

引用

页码：1 / 12

页数：12

共 9 条

[1]

Quasi-one-dimensional Riemann problems and their role in self-similar two-dimensional problems [J].