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Applied Mathematics and Mechanics (English Edition) ›› 2011, Vol. 2 ›› Issue (32): 151-166.doi: https://doi.org/10.1007/s10483-011-1402-x

• Articles • 上一篇    下一篇

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

姜金平1,2 侯延仁1,3 王小霞2   

  1. 1. School of Science, Xi’an Jiaotong University, Xi’an 710049, P. R. China;
    2. College of Mathematics and Computer Science, Yan’an University, Yan’an 716000, Shaanxi Province, P. R. China;
    3. Centre of Computational Geoscience, Xi’an Jiaotong University, Xi’an 710049, P. R. China
  • 收稿日期:2010-06-05 修回日期:2011-01-05 出版日期:2011-01-24 发布日期:2011-01-24

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

JIANG Jin-Ping1,2, HOU Yan-Ren1,3, WANG Xiao-Xia2   

  1. 1. School of Science, Xi’an Jiaotong University, Xi’an 710049, P. R. China;
    2. College of Mathematics and Computer Science, Yan’an University, Yan’an 716000, Shaanxi Province, P. R. China;
    3. Centre of Computational Geoscience, Xi’an Jiaotong University, Xi’an 710049, P. R. China
  • Received:2010-06-05 Revised:2011-01-05 Online:2011-01-24 Published:2011-01-24

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摘要： The pullback attractors for the 2D nonautonomous g-Navier-Stokes equations with linear dampness are 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.

Abstract: The pullback attractors for the 2D nonautonomous g-Navier-Stokes equations with linear dampness are 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. Key words pullback attractor, g-Navier-Stokes equation, pullback asymptotic compactness, fractal dimension, linear dampness

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