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

Heyuan Wang & Kaitai Li

DOI: 10.4208/jpde.v23.n3.1

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

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{JPDE-23-209, author = {Heyuan Wang and Kaitai Li}, 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 AU - Heyuan Wang & Kaitai Li 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 and Kaitai Li. (2010). 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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