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Averaging method applied to the three-dimensional primitive equations. (English) Zbl 1354.35111

Summary: 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.

MSC:

35Q35 PDEs in connection with fluid mechanics
35C20 Asymptotic expansions of solutions to PDEs
76D50 Stratification effects in viscous fluids
76B65 Rossby waves (MSC2010)
35Q86 PDEs in connection with geophysics
86A05 Hydrology, hydrography, oceanography
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