摘要
考虑了2D周期边界条件下Navier-Stokes方程渐近吸引子,即构造了一个有限维解序列,首先证明了该序列不会远离方程的整体吸引子,然后证明了它在长时间后无限趋于方程的整体吸引子,并给出了渐近吸引子的维数估计.
The asymptotic attractor of 2D Navier-Stokes equation with periodic boundary conditions is studied, and some estimates on the dimension of the asymptotic attractor are given.
出处
《数学研究》
CSCD
2007年第3期251-257,共7页
Journal of Mathematical Study
基金
This research is partially supported by the Key Teachers Foundation of Chongqing Uni-versity (No2003018)
the Key Teachers Foundation of Universities in Chongqing (No20020126)
