The Uniform Attractor of Non-Autonomous Navier-Stokes Equations on Unbounded Domains and Estimates of Its Dimensions

Chunshan Zhao; Kaitai Li

doi:ISSN:0583-1431.0.2000-01-004

The Uniform Attractor of Non-Autonomous Navier-Stokes Equations on Unbounded Domains and Estimates of Its Dimensions

Chunshan Zhao, Kaitai Li

Mathematical Sciences

Xi'an Jiaotong University

Research output: Contribution to journal › Article › peer-review

Abstract

In this paper, the long time behaviors of non-autonomous Navier-Stokes equations on unbounded domains were studied. The existence of uniform attractor was proven when external force terms satisfied suitable conditions. Moreover, the upper bounds of the uniform attractor's dimensions were given.

Original language	American English
Journal	Acta Mathematica Sinica
Volume	43
DOIs	https://doi.org/ISSN:0583-1431.0.2000-01-004
State	Published - 2000

Disciplines

Mathematics

Keywords

Navier-stokes Equations
Non-autonomous
Unbounded Domains

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abstract = " In this paper, the long time behaviors of non-autonomous Navier-Stokes equations on unbounded domains were studied. The existence of uniform attractor was proven when external force terms satisfied suitable conditions. Moreover, the upper bounds of the uniform attractor's dimensions were given.",

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author = "Chunshan Zhao and Kaitai Li",

note = "Acta Mathematica Sinica, Chinese Series 2000, 43(1) 33-42 DOI: cnki:ISSN:0583-1431.0.2000-01-004 ISSN: 0583-1431 CN: 11-2038/O1",

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AU - Li, Kaitai

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N2 - In this paper, the long time behaviors of non-autonomous Navier-Stokes equations on unbounded domains were studied. The existence of uniform attractor was proven when external force terms satisfied suitable conditions. Moreover, the upper bounds of the uniform attractor's dimensions were given.

AB - In this paper, the long time behaviors of non-autonomous Navier-Stokes equations on unbounded domains were studied. The existence of uniform attractor was proven when external force terms satisfied suitable conditions. Moreover, the upper bounds of the uniform attractor's dimensions were given.

KW - Navier-stokes Equations

KW - Non-autonomous

KW - Unbounded Domains

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M3 - Article

SN - 1439-8516

VL - 43

JO - Acta Mathematica Sinica

JF - Acta Mathematica Sinica

ER -

The Uniform Attractor of Non-Autonomous Navier-Stokes Equations on Unbounded Domains and Estimates of Its Dimensions

Abstract

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Keywords

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