Length scales for the Navier–Stokes equations on a rotating sphere
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Kyrychko, Yuliya N. and Bartuccelli, Michele V. (2004) Length scales for the Navier–Stokes equations on a rotating sphere Physics Letters A, 324 . pp. 2-3.
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Abstract
In this Letter we obtain the dissipative length scale for the Navier–Stokes equations on a two-dimensional rotating sphere S2. This system is a fundamental model of the large scale atmospheric dynamics. Using the equations of motion in their vorticity form, we construct the ladder inequalities from which a set of time-averaged length scales is obtained.
| Item Type: | Article |
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| Additional Information: | This is a pre-copy-editing, author-produced PDF of an article accepted for publication in Physics Letters A follwing peer review. The definitive publisher's version was published in Physics Letters A, Volume 324, Issues 2-3, pp. 179-184. Copyright © 2004 Elsevier B. V. All rights reserved. Click here to access the publisher's version. |
| Uncontrolled Keywords: | Length scales, Navier–Stokes equations, Rotating sphere |
| Divisions: | Faculty of Engineering and Physical Sciences > Mathematics |
| ID Code: | 1496 |
| Deposited By: | Mr Adam Field |
| Deposited On: | 27 May 2010 15:41 |
| Last Modified: | 28 Sep 2012 10:50 |
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