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

Published online by Cambridge University Press:  03 June 2015

Jinping Jiang ,
Yanren Hou  and
Xiaoxia Wang
Jinping Jiang*
Affiliation:
College of Computer, Yan’an University, Yan’an 716000, Shaanxi, China
Yanren Hou*
Affiliation:
School of mathematics and statistics, xi’an jiaotong university, Xi’an 710049, Shaanxi, China Center of Computational Geosciences, Xi’an Jiaotong University, Xi’an 710049, Shaanxi, China
Xiaoxia Wang*
Affiliation:
College of Computer, Yan’an University, Yan’an 716000, Shaanxi, China
*
Corresponding author. Email: yadxjjp@163.com
Email: yrhou@mail.xjtu.edu.cn
Email: yd-wxx@163.com
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Abstract

The pullback asymptotic behavior of the solutions for 2D Nonau-tonomous G-Navier-Stokes equations is studied, and the existence of its L2-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.

Keywords

76D0537L3037B55Pullback attractorG-Navier-Stokes equationfractal dimensionthe measure of noncompactnessbounded domains
Type
Research Article
Information
Advances in Applied Mathematics and Mechanics , Volume 4 , Issue 2 , April 2012 , pp. 223 - 237
Copyright
Copyright © Global-Science Press 2012

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