Interaction of Rarefaction Waves of the Two-Dimensional Self-Similar Euler Equations

被引：133

作者：

Li, Jiequan ^{[1
]}

Zheng, Yuxi ^{[2
]}

机构：

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

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

来源：

ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS | 2009年 / 193卷 / 03期

关键词：

GAS-DYNAMICS; REFLECTIONS; BOUNDARIES; DOMAINS;

D O I：

10.1007/s00205-008-0140-6

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We construct classical self-similar solutions to the interaction of two arbitrary planar rarefaction waves for the polytropic Euler equations in two space dimensions. The binary interaction represents a major type of interaction in the two-dimensional Riemann problems, and includes in particular the classical problem of the expansion of a wedge of gas into vacuum. Based on the hodograph transformation, the method employed here involves the phase space analysis of a second-order equation and the inversion back to (or development onto) the physical space.

引用

页码：623 / 657

页数：35

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