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Averaging method applied to the three-dimensional primitive equations

Petcu, M.; Temam, R.; Wirosoetisno, D.

Averaging method applied to the three-dimensional primitive equations Thumbnail


Authors

M. Petcu

R. Temam



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.

Citation

Petcu, M., Temam, R., & Wirosoetisno, D. (2016). Averaging method applied to the three-dimensional primitive equations. Discrete and Continuous Dynamical Systems - Series A, 36(10), 5681-5707. https://doi.org/10.3934/dcds.2016049

Journal Article Type Article
Acceptance Date Mar 18, 2016
Online Publication Date Jul 1, 2016
Publication Date Jul 1, 2016
Deposit Date Sep 29, 2016
Publicly Available Date Sep 13, 2017
Journal Discrete and Continuous Dynamical Systems - Series A
Print ISSN 1078-0947
Electronic ISSN 1553-5231
Publisher American Institute of Mathematical Sciences (AIMS)
Peer Reviewed Peer Reviewed
Volume 36
Issue 10
Pages 5681-5707
DOI https://doi.org/10.3934/dcds.2016049

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Copyright 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





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