摘要
本文分析关于粘性不可压缩流体的修正的Navier-Stokes方程在什么程度上解的性态能被这些解在有限个离散结点上的缸的性态确定。二个典型结果如下:如果二个定常修正的Navier-Stokes方程的解在一个充分稠密但有限的结点集上相等,则这二个解在整个区域上相等;如果知道非定常修正的Navier-Stokes方程的解在一个充分稠密但有限的结点集上的渐近性,则这个解本身的渐近性也被完全决定。
In this paper we consider the modified Navier-Stokes equations, and want to see in what ex- tent the solution can be determined by a discrete set of nodal values of this solution. We find that the following two phenomena are typical: two stationary solutions coincide when they coincide on a sufficiently dense set (but finite); if the asymptotic behavior of the solution is known on a suffi- ciently dense set, then the asymptotic behavior of the solution itself is totally determined.
出处
《内蒙古大学学报（自然科学版）》
CAS
CSCD
1993年第5期455-463,共9页
Journal of Inner Mongolia University：Natural Science Edition
基金
内蒙古自然科学基金
关键词
结点
唯一性
渐近性
N-S方程
解
modified Navier-Stokes equation
nodal point
uniqueness
asymptotic behavior
