Global attractor of 2D autonomous g-Navier-Stokes equations

doi:10.1007/s10483-013-1678-7

Applied Mathematics and Mechanics (English Edition) ›› 2013, Vol. 34 ›› Issue (3): 385-394.doi: https://doi.org/10.1007/s10483-013-1678-7

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Global attractor of 2D autonomous g-Navier-Stokes equations

姜金平王小霞

College of Computer, Yan’an University, Yan’an 716000, Shaanxi Province, P. R. China

收稿日期:2011-09-26 修回日期:2012-08-02 出版日期:2013-03-03 发布日期:2013-02-06
通讯作者: Jin-ping JIANG, Ph.D., E-mail: yadxjjp@163.com E-mail:yadxjjp@163.com

Global attractor of 2D autonomous g-Navier-Stokes equations

Jin-ping JIANG, Xiao-xia WANG

College of Computer, Yan’an University, Yan’an 716000, Shaanxi Province, P. R. China

Received:2011-09-26 Revised:2012-08-02 Online:2013-03-03 Published:2013-02-06
Contact: Jin-ping JIANG, Ph.D., E-mail: yadxjjp@163.com E-mail:yadxjjp@163.com

摘要/Abstract

摘要： In this paper, the existence of global attractors for the 2D autonomous g-Navier-Stokes equations on multi-connected bounded domains is investigated under the general assumptions of boundaries. The estimation of the Hausdorff dimensions for global attractors is given.

关键词: microchannel, electric double layer, electroosmosis, Joule heating effect, g-Navier-Stokes equation, semigroup, global attractor, multi-connected bounded domain, bounded absorbing set, Hausdorff dimension

Abstract: In this paper, the existence of global attractors for the 2D autonomous g-Navier-Stokes equations on multi-connected bounded domains is investigated under the general assumptions of boundaries. The estimation of the Hausdorff dimensions for global attractors is given.

Key words: microchannel, electric double layer, electroosmosis, Joule heating effect, semigroup, Hausdorff dimension, global attractor, multi-connected bounded domain, g-Navier-Stokes equation, bounded absorbing set

姜金平王小霞. Global attractor of 2D autonomous g-Navier-Stokes equations[J]. Applied Mathematics and Mechanics (English Edition), 2013, 34(3): 385-394.

Jin-ping JIANG;Xiao-xia WANG. Global attractor of 2D autonomous g-Navier-Stokes equations[J]. Applied Mathematics and Mechanics (English Edition), 2013, 34(3): 385-394.

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Global attractor of 2D autonomous g-Navier-Stokes equations

Global attractor of 2D autonomous g-Navier-Stokes equations

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