The Long Time Behaviors of Non-Autonomous Navier-Stokes Equations With Linear Dampness on the Whole R² Space

Chunshan Zhao; Kaitai Li

The Long Time Behaviors of Non-Autonomous Navier-Stokes Equations With Linear Dampness on the Whole R² Space

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 with linear dampness on the whole R² space are considered. The existence of uniform attractor is proved when the external force terms satisfy suitable conditions. Moreover, the upper bounds of the uniform attractor's Hausdorff and Fractal dimensions are obtained.

Original language	American English
Journal	Journal of Partial Differential Equations
Volume	13
State	Published - 2000

Keywords

Hausdorff and Fractal dimension
Linear dampness
Non-autonomous Navier-Stokes equations
Uniform attractor

DC Disciplines

Mathematics

Cite this

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title = "The Long Time Behaviors of Non-Autonomous Navier-Stokes Equations With Linear Dampness on the Whole R² Space",

abstract = " In this paper, the long time behaviors of non-autonomous Navier-Stokes equations with linear dampness on the whole R² space are considered. The existence of uniform attractor is proved when the external force terms satisfy suitable conditions. Moreover, the upper bounds of the uniform attractor's Hausdorff and Fractal dimensions are obtained.",

keywords = "Hausdorff and Fractal dimension, Linear dampness, Non-autonomous Navier-Stokes equations, Uniform attractor",

author = "Chunshan Zhao and Kaitai Li",

note = "In this paper, the long time behaviors of non-autonomous Navier-Stokes equations with linear dampness on the whole R&sup2 space are considered. The existence of uniform attractor is proved when the external force terms satisfy suitable conditions. Moreover, the upper bounds of the uniform attractor's Hausdorff and Fractal dimensions are obtained.",

year = "2000",

language = "American English",

volume = "13",

journal = "Journal of Partial Differential Equations",

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T1 - The Long Time Behaviors of Non-Autonomous Navier-Stokes Equations With Linear Dampness on the Whole R² Space

AU - Zhao, Chunshan

AU - Li, Kaitai

N1 - In this paper, the long time behaviors of non-autonomous Navier-Stokes equations with linear dampness on the whole R&sup2 space are considered. The existence of uniform attractor is proved when the external force terms satisfy suitable conditions. Moreover, the upper bounds of the uniform attractor's Hausdorff and Fractal dimensions are obtained.

PY - 2000

Y1 - 2000

N2 - In this paper, the long time behaviors of non-autonomous Navier-Stokes equations with linear dampness on the whole R² space are considered. The existence of uniform attractor is proved when the external force terms satisfy suitable conditions. Moreover, the upper bounds of the uniform attractor's Hausdorff and Fractal dimensions are obtained.

AB - In this paper, the long time behaviors of non-autonomous Navier-Stokes equations with linear dampness on the whole R² space are considered. The existence of uniform attractor is proved when the external force terms satisfy suitable conditions. Moreover, the upper bounds of the uniform attractor's Hausdorff and Fractal dimensions are obtained.

KW - Hausdorff and Fractal dimension

KW - Linear dampness

KW - Non-autonomous Navier-Stokes equations

KW - Uniform attractor

UR - http://www.global-sci.org/jpde/readabs.php?vol=13&no=2&page=163&year=2000&ppage=175

M3 - Article

VL - 13

JO - Journal of Partial Differential Equations

JF - Journal of Partial Differential Equations

ER -

The Long Time Behaviors of Non-Autonomous Navier-Stokes Equations With Linear Dampness on the Whole R² Space

Abstract

Keywords

DC Disciplines

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