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.
The Riemann problem for a nonlinear degenerate wave equation system in elasticity was considered. Since the stress function was not convex or concave, the shock condition was degenerate. By introducing a degenerate shock under the generalized shock condition, the global solutions were constructively obtained case by case.
出处
《应用数学和力学》
CSCD
北大核心
2010年第6期639-648,共10页
Applied Mathematics and Mechanics
基金
国家自然科学基金资助项目(10671120
10971130)
关键词
退化波方程
RIEMANN问题
稀疏波
激波
退化激波
degenerate wave equations
Riemann problem
rarefaction wave
shock wave
degenerate shock
