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Averaging method applied to the three-dimensional primitive equations.

Petcu, M. and Temam, R. and Wirosoetisno, D. (2016) 'Averaging method applied to the three-dimensional primitive equations.', Discrete and continuous dynamical systems., 36 (10). pp. 5681-5707.

Abstract

In this article we study the small Rossby number asymptotics for the three-dimensional primitive equations of the oceans and of the atmosphere. The fast oscillations present in the exact solution are eliminated using an averaging method, the so-called renormalisation group method.

Item Type:Article
Full text:(AM) Accepted Manuscript
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Status:Peer-reviewed
Publisher Web site:https://doi.org/10.3934/dcds.2016049
Publisher statement:This is a pre-copy-editing, author-produced PDF of an article accepted for publication in Discrete and continuous dynamical systems following peer review. The definitive publisher-authenticated version Petcu, M., Temam, R. & Wirosoetisno, D. (2016). Averaging method applied to the three-dimensional primitive equations. Discrete and Continuous Dynamical Systems 36(10): 5681-5707 is available online at: https://doi.org/10.3934/dcds.2016049
Date accepted:18 March 2016
Date deposited:13 September 2017
Date of first online publication:01 July 2016
Date first made open access:No date available

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