Pullback attractor of 2D nonautonomous g-Navier-Stokes equations with linear dampness |
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| Authors: | JIANG Jin-Ping HOU Yan-Ren WANG Xiao-Xia |
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| Institution: | 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 |
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| 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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| Keywords: | pullback attractor g-Navier-Stokes equation pullback asymptotic compactness fractal dimension linear dampness |
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