# American Institute of Mathematical Sciences

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On parameter dependence of exponential stability of equilibrium solutions in differential equations with a single constant delay
October  2016, 36(10): 5681-5707. doi: 10.3934/dcds.2016049

## 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, United Kingdom

Received  February 2015 Revised  April 2016 Published  July 2016

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: Madalina Petcu, Roger Temam, Djoko Wirosoetisno. Averaging method applied to the three-dimensional primitive equations. Discrete & Continuous Dynamical Systems, 2016, 36 (10) : 5681-5707. doi: 10.3934/dcds.2016049
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