| 一维非线性弹性力学方程组的Riemann问题 |
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| 引用本文： | 孙文华.一维非线性弹性力学方程组的Riemann问题[J].应用数学与计算数学学报,2007,21(1):48-54. |
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| 作者姓名： | 孙文华 |
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| 作者单位： | 上海大学理学院数学系,上海,200444;山东理工大学数学与信息科学学院,山东,淄博,255049 |
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| 摘 要： | 本文研究了一维非线性弹性力学方程组的Riemann问题.根据左右状态所处的相对位置,分情况构造了问题的唯一整体解.由于激波条件退化,系统的基本波除了稀疏波和激波还包含退化激波.
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| 关 键 词： | 非线性弹性力学 Riemann问题 Rankine-Hugoiniot关系 熵条件 |
| 修稿时间： | 2006-11-13 |
The Riemann Problem for One-Dimensional System of Nonlinear Elasticity |
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| Sun Wenhua.The Riemann Problem for One-Dimensional System of Nonlinear Elasticity[J].Communication on Applied Mathematics and Computation,2007,21(1):48-54. |
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| Authors: | Sun Wenhua |
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| Institution: | 1. Department of Mathematics, College of Sciences, Shanghai University, Shanghai 200444, China; 2. Department of Mathematics, Shandong University of Technology, Zibo 255049, Shandong, China |
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| Abstract: | The Riemann problem for the system of nonlinear elasticity is solved.The global solutions according to the relative locations of left and right states are constructively obtained,respectively.For the shock condition of the system is degenerate,the elementary waves of the system involve degenerate shock besides rarefaction wave and shock wave. |
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| Keywords: | nonlinear elasticity Riemann problem Rankine-Hugoiniot relation entropy condition |
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