非线性退化波方程的Riemann问题

孙文华; 盛万成

doi:10.3879/j.issn.1000-0887.2010.06.001

非线性退化波方程的Riemann问题

doi: 10.3879/j.issn.1000-0887.2010.06.001

孙文华¹,
盛万成²

山东理工大学理学院,山东淄博 255049;

基金项目: 国家自然科学基金资助项目(10671120;10971130)

详细信息

作者简介:
孙文华(1976- ),男,山东人,博士(E-mail:sunwenhua@yahoo.com);盛万成(1963- ),男,教授,博士,博士生导师(联系人.E-mail:mathwcsheng@shu.edu.cn).

中图分类号: O175.27
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- 被引次数: 0
出版历程
- 收稿日期: 1900-01-01
- 修回日期: 2010-05-10
- 刊出日期: 2010-06-15

Riemann Problem for the Nonlinear Degenerate Wave Equations

SUN Wen-hua¹,
SHENG Wan-cheng²

School of Sciences, Shandong University of Technology, Zibo, Shandong 255049, P. R. China;
Department of Mathematics, Shanghai University, Shanghai 200444, P. R. China

摘要

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．
- 退化波方程 /
- Riemann问题 /
- 稀疏波 /
- 激波 /
- 退化激波
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.
- degenerate wave equations /
- Riemann problem /
- rarefaction wave /
- shock wave /
- degenerate shock

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参考文献(14)

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