AVERAGING METHOD APPLIED TO THE THREE-DIMENSIONAL PRIMITIVE EQUATIONS

作者：Petcu Madalina^*; Temam Roger; Wirosoetisno Djoko

来源：Discrete and Continuous Dynamical Systems, 2016, 36(10): 5681-5707.

DOI：10.3934/dcds.2016049

• Averaging method
• primitive equations
• energy estimates
• error estimates
• quasi-geostrophic equation

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.

• 出版日期2016-10