无界区域上非自治Navier-Stokes方程的一致吸引子及其维数估计

赵春山;李开泰

数学学报 ›› 2000, Vol. 43 ›› Issue (1) : 33-42.

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中国科学院数学与系统科学研究院期刊网
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数学学报 ›› 2000, Vol. 43 ›› Issue (1) : 33-42. DOI: 10.12386/A2000sxxb0005
论文

无界区域上非自治Navier-Stokes方程的一致吸引子及其维数估计

    赵春山;李开泰
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The Uniform Attractor of Non-Autonomous Navier-Stokes Equations on Unbounded Domains and Estimates of Its Dimensions

    Chun Shan ZHAO,Kai Tai LI
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摘要

本文研究了二维无界区域上非自治Navier－Stokes方程的长时间行为．在外力项满足适当的条件下，证明了一致吸引子的存在性并给出了一致吸引子维数的上界估计．

Abstract

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

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无界区域 / 非自治Navier－Stokes方程 / 一致吸引子 / Hausdorff及Fractal维数

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赵春山;李开泰. 无界区域上非自治Navier-Stokes方程的一致吸引子及其维数估计. 数学学报, 2000, 43(1): 33-42 https://doi.org/10.12386/A2000sxxb0005
Chun Shan ZHAO,Kai Tai LI. The Uniform Attractor of Non-Autonomous Navier-Stokes Equations on Unbounded Domains and Estimates of Its Dimensions. Acta Mathematica Sinica, Chinese Series, 2000, 43(1): 33-42 https://doi.org/10.12386/A2000sxxb0005
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