The Pullback Asymptotic Behavior of the Solutions for 2D Nonautonomous G-Navier-Stokes Equations  

作　　者：Jinping Jiang Yanren Hou Xiaoxia Wang 

机构地区：[1]College of Computer,Yan’an University,Yan’an 716000,Shaanxi,China [2]School of mathematics and statistics,xi’an jiaotong university,Xi’an 710049,Shaanxi,China [3]Center of Computational Geosciences,Xi’an Jiaotong University,Xi’an 710049,Shaanxi,China

出　　处：《Advances in Applied Mathematics and Mechanics》2012年第2期223-237,共15页应用数学与力学进展（英文）

基　　金：This work was partially supported by the National Natural Science Fund of China(Grant No.10871156);the Fund of XJTU(Grant No.2009xjtujc30).

摘　　要：The pullback asymptotic behavior of the solutions for 2D Nonautonomous G-Navier-Stokes equations is studied,and the existence of its L^(2)-pullback attractors on some bounded domains with Dirichlet boundary conditions is investigated by using the measure of noncompactness.Then the estimation of the fractal dimensions for the 2D G-Navier-Stokes equations is given.

关 键 词：Pullback attractor G-Navier-Stokes equation fractal dimension the measure of noncompactness bounded domains 

分 类 号：O17[理学—数学]