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Jung, Chang-Yeol
Numerical Analysis Lab.
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SINGULAR PERTURBATION ANALYSIS ON A HOMOGENEOUS OCEAN CIRCULATION MODEL

Author(s)
Jung, Chang-YeolPetcu, MadalinaTemam, Roger
Issued Date
2011-07
DOI
10.1142/S0219530511001832
URI
https://scholarworks.unist.ac.kr/handle/201301/2912
Fulltext
http://www.scopus.com/inward/record.url?partnerID=HzOxMe3b&scp=79960830288
Citation
ANALYSIS AND APPLICATIONS, v.9, no.3, pp.275 - 313
Abstract
In this article, we consider the barotropic quasigeostrophic equation of the ocean in the context of the beta-plane approximation and small viscosity (see, e. g., [21, 22]). The aim is to study the behavior of the solutions when the viscosity goes to zero. To avoid the substantial complications due to the corners (see, e. g., [25]) which will be addressed elsewhere, we assume periodicity in one direction (0y). The behavior of the solution in the boundary layers at x = 0, 1 necessitate the introduction of several correctors, solving various analogues of the Prandtl equation. Convergence is obtained at all orders even in the nonlinear case. We also establish as an auxiliary result, the C-infinity regularity of the solutions of the viscous and inviscid quasigeotrophic equations.
Publisher
WORLD SCIENTIFIC PUBL CO PTE LTD
ISSN
0219-5305

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