吉首大学学报:自然科学版2012,Vol.33Issue(5):19-22,4.
1维零压流体运动方程组的解的局部结构
Local Structure of the Solutions to One-Dimensional Zero-Pressure Flow Equations
摘要
Abstract
This paper is concerned with one-dimensional zero-pressure flow equations. By introducing a potential function and discussing its minimizing point, the following conclusions on the local structure of the solution are drawn for each point (x, t)∈RX (0, ∞). When potential function has a uniqe non-degenerate minimizing point, solutions are smooth in the neighborhood of (x, t) ;When potential function has more than two non-degenerate minimizing points or a uniqe degenerate minimizing point, solutions are discontinuous in the neighborhood of (x ,t).关键词
零压流体运动方程组/局部结构/退化点/非退化点Key words
zero-pressure flow equations/local structure/degenerate point/non-degenerate point分类
数理科学引用本文复制引用
张茜,赵引川..1维零压流体运动方程组的解的局部结构[J].吉首大学学报:自然科学版,2012,33(5):19-22,4.基金项目
国家自然科学基金资助项目 ()
中央高校基本科研业务费专项资金资助 ()