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.
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页码：209 / 221
页数：13
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