On the Lorenz Systems for the Incompressible Flow between Two Concentric Rotating Cylinders

被引：3

作者：

Wang Heyuan ^{[1
,2
]}

Li Kaitai ^{[2
]}

机构：

[1] Liaoning Univ Technol, Sch Sci, Jinzhou 121001, Peoples R China

[2] Xi An Jiao Tong Univ, Sch Sci, Xian 710049, Shaanxi, Peoples R China

来源：

JOURNAL OF PARTIAL DIFFERENTIAL EQUATIONS | 2010年 / 23卷 / 03期

关键词：

Couette-Taylor flow; attractor; Hausdorff dimension;

D O I：

10.4208/jpde.v23.n3.1

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A spectral method is used to derive a series of equations for axisymmetric Couette-Taylor flow. A three-modes system, which is similar to the Lorenz systems, is obtained by a suitable three-modes truncation of the Navier-Stokes equations for the incompressible flow between two concentric rotating cylinders. The stability of the three-modes systems is discussed. Moreover, the existence of its attractor and the estimation of Hausdorff dimension are given.

引用

页码：209 / 221

页数：13

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