Generalized characteristic analysis and Guckenheimer structure

被引：34

作者：

Zhang, P ^{[1
]}

Zhang, T

机构：

[1] Beijing Informat & Technol Inst, Beijing 100101, Peoples R China

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

来源：

JOURNAL OF DIFFERENTIAL EQUATIONS | 1999年 / 152卷 / 02期

基金：

中国国家自然科学基金;

关键词：

Riemann problem; two dimensions; scalar conservation law; Guckenheimer structure;

D O I：

10.1006/jdeq.1998.3526

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We develop a generalized characteristic analysis method. Using this method we study interactions of elementary waves and construct the Riemann solutions for two dimensional scalar conservation laws. Especially, we obtain the necessary and sufficient condition of appearance of Guckenheimer structure, which is something like Mach reflection in gas dynamics. (C) 1999 Academic Press.

引用

页码：409 / 430

页数：22

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