Global Attractors and Asymptotic Smoothing Effect for Navier-Stokes Equations with Linear Damping on R^2  

二维全平面上具线性阻尼Navier-Stokes方程组的整体吸引子和渐近光滑效应(英文)

作　　者：赵才地 李用声 周盛凡 

机构地区：[1]Department of Mathematics and Information Science,Wenzhou University [2]Department of Mathematical Sciences,South China University of Technology [3]Department of Applied Mathematics,Shanghai Normal University

出　　处：《Chinese Quarterly Journal of Mathematics》2009年第3期445-452,共8页数学季刊（英文版）

基　　金：Supported by Natural Science Foundation of China(10771074;10771139);Supported by the NSF of Wenzhou University(2007L024);Supported by the NSF of Zhejiang Province(Y6080077)

摘　　要：This paper studies the long time behavior of solutions to the Navier-Stokes equations with linear damping on R^2. The authors prove the existence of L^2-global attractor and Hi-global attractor by showing that the corresponding semigroup is asymptotically compact. Thereafter, they establish that the two attractors are the same and thus reveal the asymptotic smoothing effect of the solutions.

关 键 词：Navier-Stokes equations global attractor asymptotic smoothing effect linear damping 

分 类 号：O175[理学—数学] O357.1[理学—基础数学]