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

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^q4Q'{[Nd?0Pullback attractor of 2D nonautonomous g-Navier-Stokes equations with linear dampness

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m,dT~:]w7a3}.w'A B0Abstract:The pullback attractors for the 2D nonautonomous g-Navier-Stokes equa-tions 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.水利论文"~#ZZ3O*X;Tg j+Q

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作者:

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Jin-ping JIANG[1] Yan-ren HOU[2] Xiao-xia WANG[3]

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School of Science, Xi'an Jiaotong University, Xi'an 710049, P. R. China;College of Mathematics and Computer Science, Yan'an University, Yan'an 716000, Shaanxi Province, P. R. ChinaSchool of Science, Xi'an Jiaotong University, Xi'an 710049, P. R. China; Centre of Computational Geoscience, Xi'an Jiaotong University, Xi'an 710049, P. R. ChinaCollege of Mathematics and Computer Science, Yan'an University,Yan'an 716000, Shaanxi Province, P. R. China

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"A4]c[ Y0应用数学和力学(英文版)水利论文#D2da+b_t

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Journal:

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APPLIED MATHEMATICS AND MECHANICS

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年,卷(期):

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H+O*Q c5W&i6_w02011, 32(2)

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U7~(? {` G.B n0pullback attractor水利论文:q8o'g {.~v1W6S

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g-Navier-Stokes equation水利论文azcJQ'z ZT-t

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pullback asymptotic com-pactness水利论文 tYm:ixT@b$]

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fractal dimension水利论文4a2f%A%n[r0B$]R t8_

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linear dampness

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~)y,n3[&r0fractal dimensions existence cocycle

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"TX0i f4\({{.[0Project supported by the National Natural Science Foundation of China,the Fund of Xi'an Jiaotong University水利论文/n6l(L*d4P$fi _g

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