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

Pullback attractor of 2D nonautonomous g-Navier-Stokes equations with linear dampness
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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.
作者 姜金平 候延仁 王小霞
机构地区 School of Science College of Mathematics and Computer Science Centre of Computational Geoscience
出处 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI 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)
关键词 pullback attractor g-Navier-Stokes equation pullback asymptotic com-pactness fractal dimension linear dampness pullback attractor, g-Navier-Stokes equation, pullback asymptotic com-pactness, fractal dimension, linear dampness
分类号 O175 [理学—基础数学] O35 [理学—流体力学]
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Applied Mathematics and Mechanics(English Edition)
2011年 第2期

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