NEW STRUCTURES FOR NON-SELFSIMILAR SOLUTIONS OF MULTI-DIMENSIONAL CONSERVATION LAWS

被引：0

作者：

杨小舟 ^{[1
]}

魏涛 ^{[2
]}

机构：

[1] Wuhan Institute of Physics and Mathematics, Chinese Academy of Sciences, West No, Xiao Hong Shan

[2] Department of Mathematics, Shantou University

来源：

Acta Mathematica Scientia | 2009年 / 29卷 / 05期

关键词：

non-selfsimilar; shock wave; rarefaction wave; envelope; multi-dimensional conservation laws;

D O I：

暂无

中图分类号：

TP391.41 [];

学科分类号：

080203 ;

摘要：

In this article, we get non-selfsimilar elementary waves of the conservation laws in another kind of view, which is different from the usual self-similar transformation. The solution has different global structure. This article is divided into three parts. The first part is introduction. In the second part, we discuss non-selfsimilar elementary waves and their interactions of a class of twodimensional conservation laws. In this case, we consider the case that the initial discontinuity is parabola with u+ > 0, while explicit non-selfsimilar rarefaction wave can be obtained. In the second part, we consider the solution structure of case u+ < 0. The new solution structures are obtained by the interactions between different elementary waves, and will continue to interact with other states. Global solutions would be very different from the situation of one dimension.

引用

页码：1182 / 1202

页数：21

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