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

JIANG Jin-Ping;HOU Yan-Ren

doi:10.1007/s10483-010-1304-x

Applied Mathematics and Mechanics >

2010 , Vol. 31 >Issue 6: 697 - 708

DOI: https://doi.org/10.1007/s10483-010-1304-x

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

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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 date: 2009-11-18

Revised date: 2010-05-01

Online published: 2010-06-01

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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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JIANG Jin-Ping;HOU Yan-Ren . Pullback attractor of 2D non-autonomous g-Navier-Stokes equations on some bounded domains[J]. Applied Mathematics and Mechanics, 2010 , 31(6) : 697 -708 . DOI: 10.1007/s10483-010-1304-x

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