The Global Attractor of Navier-Stokes Equations With Linear Dampness on the Whole Two-Dimensional Space and Estimates of Its Dimensions

Chunshan Zhao; Kaitai Li

The Global Attractor of Navier-Stokes Equations With Linear Dampness on the Whole Two-Dimensional Space and Estimates of Its Dimensions

Chunshan Zhao
, Kaitai Li

Mathematical Sciences

Xi'an Jiaotong University

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

Abstract

The long time behaviors of Navier-Stokes equations with linear dampness on the whole two-dimensional space were investigated. The existence of global attractor of the equations was proved under only condition f(x) E (L2(R2))2. Moreover, the upper bounds of Hausdorff and Fractal dimensions of the global attractor were given.

Original language	American English
Journal	Acta Mathematicae Applicatae Sinica
Volume	23
State	Published - 2000

Disciplines

Mathematics

Keywords

Linear Dampness
Navier-stokes Equations
Whole Two-dimensional Space

Cite this

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abstract = " The long time behaviors of Navier-Stokes equations with linear dampness on the whole two-dimensional space were investigated. The existence of global attractor of the equations was proved under only condition f(x) E (L2(R2))2. Moreover, the upper bounds of Hausdorff and Fractal dimensions of the global attractor were given.",

keywords = "Linear Dampness, Navier-stokes Equations, Whole Two-dimensional Space",

author = "Chunshan Zhao and Kaitai Li",

note = "The long time behaviors of Navier-Stokes equations with linear dampness on the whole two-dimensional space were investigated. The existence of global attractor of the equations was proved under only condition f(x) E (L2(R2))2. Moreover, the upper bounds of Hausdorff and Fractal dimensions of the global attractor were given.",

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AU - Zhao, Chunshan

AU - Li, Kaitai

N1 - The long time behaviors of Navier-Stokes equations with linear dampness on the whole two-dimensional space were investigated. The existence of global attractor of the equations was proved under only condition f(x) E (L2(R2))2. Moreover, the upper bounds of Hausdorff and Fractal dimensions of the global attractor were given.

PY - 2000

Y1 - 2000

N2 - The long time behaviors of Navier-Stokes equations with linear dampness on the whole two-dimensional space were investigated. The existence of global attractor of the equations was proved under only condition f(x) E (L2(R2))2. Moreover, the upper bounds of Hausdorff and Fractal dimensions of the global attractor were given.

AB - The long time behaviors of Navier-Stokes equations with linear dampness on the whole two-dimensional space were investigated. The existence of global attractor of the equations was proved under only condition f(x) E (L2(R2))2. Moreover, the upper bounds of Hausdorff and Fractal dimensions of the global attractor were given.

KW - Linear Dampness

KW - Navier-stokes Equations

KW - Whole Two-dimensional Space

UR - http://en.cnki.com.cn/Article_en/CJFDTotal-YYSU200001010.htm

M3 - Article

SN - 0168-9673

VL - 23

JO - Acta Mathematicae Applicatae Sinica

JF - Acta Mathematicae Applicatae Sinica

ER -

The Global Attractor of Navier-Stokes Equations With Linear Dampness on the Whole Two-Dimensional Space and Estimates of Its Dimensions

Abstract

Disciplines

Keywords

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