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ASYMPTOTIC ANALYSIS FOR THE 3D PRIMITIVE EQUATIONS IN A CHANNEL
Journal article   Peer reviewed

ASYMPTOTIC ANALYSIS FOR THE 3D PRIMITIVE EQUATIONS IN A CHANNEL

Makram Hamouda, Chang-Yeol Jung, Roger Temam and School of Technology Management/ Mechanical, and Advanced Materials Engineering/ Natural Science, Ulsan National Institute of Science and Technology, San 194, Banyeon-ri, Eonyang-eup, Ulju-gun, Ulsan
Discrete and continuous dynamical systems. Series S, Vol.6(2), pp.401-422
01/04/2013
DOI: https://doi.org/10.3934/dcdss.2013.6.401

Abstract

Mathematics Mathematics, Applied Physical Sciences Science & Technology
In this article, we give an asymptotic expansion, with respect to the viscosity which is considered here to be small, of the solutions of the 3D linearized Primitive Equations (EPs) in a channel with lateral periodicity. A rigorous convergence result, in some physically relevant space, is proven. This allows, among other consequences, to confirm the natural choice of the non-local boundary conditions for the non-viscous PEs.

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