Volume 23, Issue 3
On the Lorenz Systems for the Incompressible Flow Between Two Concentric Rotating Cylinders

Heyuan Wang & Kaitai Li

J. Part. Diff. Eq., 23 (2010), pp. 209-221.

Published online: 2010-08

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  • 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.

  • Keywords

Couette-Taylor flow attractor Hausdorff dimension

  • AMS Subject Headings

65J15 47H15 65M60

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COPYRIGHT: © Global Science Press

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@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} }
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 -

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.

Heyuan Wang & Kaitai Li. (2019). On the Lorenz Systems for the Incompressible Flow Between Two Concentric Rotating Cylinders. Journal of Partial Differential Equations. 23 (3). 209-221. doi:10.4208/jpde.v23.n3.1
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