Year: 2010
Journal of Partial Differential Equations, Vol. 23 (2010), Iss. 3 : pp. 209–221
Abstract
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.
You do not have full access to this article.
Already a Subscriber? Sign in as an individual or via your institution
Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/jpde.v23.n3.1
Journal of Partial Differential Equations, Vol. 23 (2010), Iss. 3 : pp. 209–221
Published online: 2010-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 13
Keywords: Couette-Taylor flow
-
Chaos Control and Synchronization of a Three-Mode System of Couette-Taylor Flow
Wang, Heyuan | Zhang, Xiaoli2011 Fourth International Workshop on Chaos-Fractals Theories and Applications, (2011), P.306
https://doi.org/10.1109/IWCFTA.2011.36 [Citations: 0] -
Low-Dimensional Analysis and Numerical Simulation of the Incompressible Flow Between Two Concentric Rotating Cylinders
Wang, Heyuan | Song, Yukun | Cui, JinInternational Journal of Applied and Computational Mathematics, Vol. 3 (2017), Iss. 4 P.3021
https://doi.org/10.1007/s40819-016-0282-4 [Citations: 1]