TY - JOUR
T1 - On the Lorenz Systems for the Incompressible Flow Between Two Concentric Rotating Cylinders
JO - Journal of Partial Differential Equations
VL - 3
SP - 209
EP - 221
PY - 2010
DA - 2010/08
SN - 23
DO - http://doi.org/10.4208/jpde.v23.n3.1
UR - https://global-sci.org/intro/article_detail/jpde/5230.html
KW - Couette-Taylor flow
KW - attractor
KW - Hausdorff dimension
AB - <p>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.</p>