The estimation of the Hausdorff and Fractal dimensions of the Global Attractor for 2D autonomous g-Navier-Stokes Equations

被引：0

作者：

Jiang, Jinping ^{[1
]}

Wang, Xiaoxia ^{[1
]}

机构：

[1] Yanan Univ, Coll Comp, Yanan 716000, Shaanxi, Peoples R China

来源：

SENSORS, MECHATRONICS AND AUTOMATION | 2014年 / 511-512卷

关键词：

Linear dampness; g-Navier-Stokes equations; Global attractor; Hausdorff and Fractal dimensions;

D O I：

10.4028/www.scientific.net/AMM.511-512.1235

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

In this paper, by using the energy equation method, the 2D g-Navier-Stokes equations with linear dampness on some unbounded domains were investigated without the restriction of the forcing term belonging to some weighted Sobolev space. Moreover, the estimation of the Hausdorff and Fractal dimensions of such attractors were also obtained.

引用

页码：1235 / 1238

页数：4

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