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Length scales for the Navier–Stokes equations on a rotating sphere

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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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
Divisions : Faculty of Engineering and Physical Sciences > Mathematics
Authors :
Kyrychko, Yuliya N.
Bartuccelli, Michele
Date : 24 March 2004
Uncontrolled Keywords : Length scales, Navier–Stokes equations, Rotating sphere
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.
Depositing User : Mr Adam Field
Date Deposited : 27 May 2010 14:41
Last Modified : 16 Jan 2019 16:22

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