Year: 2012
Author: Jinping Jiang, Yanren Hou, Xiaoxia Wang
Advances in Applied Mathematics and Mechanics, Vol. 4 (2012), Iss. 2 : pp. 223–237
Abstract
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.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/aamm.10-m1071
Advances in Applied Mathematics and Mechanics, Vol. 4 (2012), Iss. 2 : pp. 223–237
Published online: 2012-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 15
Keywords: Pullback attractor G-Navier-Stokes equation fractal dimension the measure of noncompactness bounded domains.
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