| 非线性退化波方程的Riemann问题 |
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| 引用本文： | 孙文华,盛万成. 非线性退化波方程的Riemann问题[J]. 应用数学和力学, 2010, 31(6): 639-648. DOI: 10.3879/j.issn.1000-0887.2010.06.001 |
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| 作者姓名： | 孙文华 盛万成 |
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| 作者单位： | 山东理工大学 理学院,山东 淄博 255049; |
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| 摘 要： | 研究了弹性力学中一退化波方程的Riemann问题．其应力函数非凸非凹,从而使得激波条件退化．通过引入广义激波条件下的退化激波,构造性地得到了各种情形下Riemann问题的整体解．
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| 关 键 词： | 退化波方程 Riemann问题 稀疏波 激波 退化激波 |
| 收稿时间： | 1900-01-01 |
Riemann Problem for the Nonlinear Degenerate Wave Equations |
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| SUN Wen-hua,SHENG Wan-cheng. Riemann Problem for the Nonlinear Degenerate Wave Equations[J]. Applied Mathematics and Mechanics, 2010, 31(6): 639-648. DOI: 10.3879/j.issn.1000-0887.2010.06.001 |
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| Authors: | SUN Wen-hua SHENG Wan-cheng |
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| Affiliation: | School of Sciences, Shandong University of Technology, Zibo, Shandong 255049, P. R. China;Department of Mathematics, Shanghai University, Shanghai 200444, P. R. China |
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| Abstract: | The Riemann problem for a non linear degenerate wave equation system in elasticity was considered. Since the stress function was not convex or concave, the shock condition was degenerate. By in troducing a degenerate shock under the generalized shock condition, the global solutions were constructively obtained case by case. |
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