2D Navier-Stokes方程的渐近吸引子(英文)  

The Asymptotic Attractor of 2D Navier-Stokes Equation

作　　者：赵磊娜[1] 张兴友[1] 刑庭莉 

机构地区：[1]重庆交通大学理学院,重庆400074 [2]Institute of Fundamental Sciences,Massey University,Palmerston North,New Zealand

出　　处：《数学研究》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)

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.

关 键 词：Navier—Stokes方程 渐近吸引子 整体吸引子 

分 类 号：O175[理学—数学]