Characteristic decompositions and interactions of rarefaction waves of 2-D Euler equations

被引：83

作者：

Li, Jiequan ^{[2
]}

Yang, Zhicheng ^{[2
,3
]}

Zheng, Yuxi ^{[1
]}

机构：

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

[2] Capital Normal Univ, Sch Math Sci, Beijing 100048, Peoples R China

[3] Peking Univ, Sch Math Sci, Beijing 100871, Peoples R China

来源：

JOURNAL OF DIFFERENTIAL EQUATIONS | 2011年 / 250卷 / 02期

基金：

美国国家科学基金会;

关键词：

2-D Riemann problem; Direct approach; Gas expansion; Inclination angles of characteristics; Planar wave; Pseudo steady; Riemann variables; Simple waves; Vacuum; Wave interaction; 2-DIMENSIONAL RIEMANN PROBLEMS; GAS-DYNAMICS; REFLECTIONS; BOUNDARIES; DOMAINS;

D O I：

10.1016/j.jde.2010.07.009

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This paper is concerned with classical solutions to the interaction of two arbitrary planar rarefaction waves for the self-similar Euler equations in two space dimensions. We develop the direct approach, started in Chen and Zheng (in press) [3], to the problem to recover all the properties of the solutions obtained via the hodograph transformation of Li and Zheng (2009) [14]. The direct approach, as opposed to the hodograph transformation, is straightforward and avoids the common difficulties of the hodograph transformation associated with simple waves and boundaries. The approach is made up of various characteristic decompositions of the self-similar Euler equations for the speed of sound and inclination angles of characteristics. (C) 2010 Elsevier Inc. All rights reserved.

引用

页码：782 / 798

页数：17

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