摘要
本文研究一类二维单个守恒律方程的Riemann问题.用广义特征分析方法研究了这类方程,给出了基本波的分类,解决了初值为两片常数的二维Riemann问题,给出了Riemann解.
This paper is conserned with the two dimensional Riemann problems of a class of scalar conservation laws.By use of the generalied characteristic analysis method, the classification of elementary waves is given,and the Riemann solutions for the two pieces constant initial data are constructed.
出处
《应用数学与计算数学学报》
2010年第2期1-12,共12页
Communication on Applied Mathematics and Computation
关键词
二维Riemann问题
单个守恒律方程
广义特征分析方法
基本波
激波
疏散波
Two-dimension Riemann problem
scalar conservation laws
generalized characteristic analysis method
elementary wave
shock wave
rarefaction wave
