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

Jin-ping JIANG;Xiao-xia WANG

doi:10.1007/s10483-013-1678-7

Applied Mathematics and Mechanics >

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

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

Received date: 2011-09-26

Revised date: 2012-08-02

Online published: 2013-02-06

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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

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Jin-ping JIANG;Xiao-xia WANG . Global attractor of 2D autonomous g-Navier-Stokes equations[J]. Applied Mathematics and Mechanics, 2013 , 34(3) : 385 -394 . DOI: 10.1007/s10483-013-1678-7

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