Averaging method applied to the three-dimensional primitive equations

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

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
• Public URL: https://durham-repository.worktribe.com/output/1403815