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Jung, Chang-Yeol
Numerical Analysis Lab.
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Asymptotic analysis for the 3D primitive equations in a channel

Author(s)
Hamouda, MakramJung, Chang-YeolTemam, Roger
Issued Date
2013-04
DOI
10.3934/dcdss.2013.6.401
URI
https://scholarworks.unist.ac.kr/handle/201301/2430
Fulltext
http://www.scopus.com/inward/record.url?partnerID=HzOxMe3b&scp=84874143953
Citation
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS - SERIES S, v.6, no.2, pp.401 - 422
Abstract
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.
Publisher
AMER INST MATHEMATICAL SCIENCES
ISSN
1937-1632
Keyword (Author)
Boundary layersPrimitive equationsSingular perturbation analysis

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