Pullback attractor of 2D nonautonomous g-Navier-Stokes equations with linear dampness  

作　　者：姜金平 候延仁 王小霞 

机构地区：[1]School of Science,Xi'an Jiaotong University [2]College of Mathematics and Computer Science,Yan'an University [3]Centre of Computational Geoscience,Xi'an Jiaotong University

出　　处：《Applied Mathematics and Mechanics(English Edition)》2011年第2期151-166,共16页应用数学和力学（英文版）

基　　金：supported by the National Natural Science Foundation of China (No.10871156);the Fund of Xi'an Jiaotong University (No.2009xjtujc30)

摘　　要：The pullback attractors for the 2D nonautonomous g-Navier-Stokes equations with linear dampness axe investigated on some unbounded domains. The existence of the pullback attractors is proved by verifying the existence of pullback D-absorbing sets with cocycle and obtaining the pullback ：D-asymptotic compactness. Furthermore, the estimation of the fractal dimensions for the 2D g-Navier-Stokes equations is given.The pullback attractors for the 2D nonautonomous g-Navier-Stokes equations with linear dampness axe investigated on some unbounded domains. The existence of the pullback attractors is proved by verifying the existence of pullback D-absorbing sets with cocycle and obtaining the pullback ：D-asymptotic compactness. Furthermore, the estimation of the fractal dimensions for the 2D g-Navier-Stokes equations is given.

关 键 词：pullback attractor g-Navier-Stokes equation pullback asymptotic com-pactness fractal dimension linear dampness 

分 类 号：O175[理学—数学] O35[理学—基础数学]