Averaging method applied to the three-dimensional primitive equations

Madalina Petcu; Roger Temam; Djoko  Wirosoetisno

doi:10.3934/dcds.2016049

Article Contents

2016, Volume 36, Issue 10: 5681-5707. Doi: 10.3934/dcds.2016049

This issue Previous Article On parameter dependence of exponential stability of equilibrium solutions in differential equations with a single constant delay Next Article Matsaev's type theorems for solutions of the stationary Schrödinger equation and its applications

Averaging method applied to the three-dimensional primitive equations

1.
Laboratoire de Mathématiques et applications, Univ. de Poitiers, Teleport 2 - BP 30179, Boulevard Marie et Pierre Curie, 86962, Futuroscope Chasseneuil Cedex
2.
The Institute for Scientific Computing and Applied Mathematics, Indiana University, 831 East Third Street, Bloomington, Indiana 47405
3.
Mathematical Sciences, Durham University, Durham DH1 3LE

Received: February 2015

Revised: April 2016

Published: May 2017

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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.

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Mathematics Subject Classification: 35C20, 35Q35, 76D03, 76D50.

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References

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