| 一类二维单个守恒律方程的Riemann问题 |
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| 引用本文： | 张泓知,盛万成.一类二维单个守恒律方程的Riemann问题[J].应用数学与计算数学学报,2010,24(2):1-12. |
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| 作者姓名： | 张泓知 盛万成 |
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| 作者单位： | [1]上海应用数学与力学研究所,上海200072 [2]海南大学信息学院应用数学系,海南570228 [3]上海大学数学系,上海200444 |
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| 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.
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| 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 |
The Two Dimensional Riemann Problems for a Class of Scalar Conservation Laws |
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| Zhang Hongzhi,Shang Wancheng.The Two Dimensional Riemann Problems for a Class of Scalar Conservation Laws[J].Communication on Applied Mathematics and Computation,2010,24(2):1-12. |
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| Authors: | Zhang Hongzhi Shang Wancheng |
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| Institution: | Zhang Hongzhi Shang Wancheng Shanghai Institute of Applied Mathematics and Mechanics, Shanghai 200072,China Department of Applied Mathematics,College of Information Science ＆ Technology Hainan University,Hainan 570228,China Department of Mathematics,Shanghai University,Shanghai 200444, China |
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| Abstract: | 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. |
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| Keywords: | Two-dimension Riemann problem scalar conservation laws generalized characteristic analysis method elementary wave shock wave rarefaction wave |
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