@Article{JPDE-23-209, author = {}, title = {On the Lorenz Systems for the Incompressible Flow Between Two Concentric Rotating Cylinders}, journal = {Journal of Partial Differential Equations}, year = {2010}, volume = {23}, number = {3}, pages = {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.

}, issn = {2079-732X}, doi = {https://doi.org/10.4208/jpde.v23.n3.1}, url = {http://global-sci.org/intro/article_detail/jpde/5230.html} }