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Applied Mathematics and Mechanics (English Edition) ›› 2010, Vol. 31 ›› Issue (6): 697-708.doi: https://doi.org/10.1007/s10483-010-1304-x

• Articles • 上一篇    下一篇

Pullback attractor of 2D non-autonomous g-Navier-Stokes equations on some bounded domains

姜金平1,2 侯延仁1   

  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
  • 收稿日期:2009-11-18 修回日期:2010-05-01 出版日期:2010-06-01 发布日期:2010-06-01

Pullback attractor of 2D non-autonomous g-Navier-Stokes equations on some bounded domains

JIANG Jin-Ping1,2, HOU Yan-Ren1   

  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
  • Received:2009-11-18 Revised:2010-05-01 Online:2010-06-01 Published:2010-06-01

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摘要： The existence of the pullback attractor for the 2D non-autonomous g-Navier-Stokes equations on some bounded domains is investigated under the general assumptions of pullback asymptotic compactness. A new method to prove the existence of the pullback attractor for the 2D g-Navier-Stokes equations is given.

关键词: pullback attractor, g-Navier-Stokes equation, pullback asymptotic compactness, pullback condition, bounded domain

Abstract: The existence of the pullback attractor for the 2D non-autonomous g-Navier-Stokes equations on some bounded domains is investigated under the general assumptions of pullback asymptotic compactness. A new method to prove the existence of the pullback attractor for the 2D g-Navier-Stokes equations is given.

Key words: pullback attractor, g-Navier-Stokes equation, pullback asymptotic compactness, pullback condition, bounded domain

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