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Jung, Chang-Yeol
Numerical Analysis Lab.
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Boundary layers for the subcritical modes of the 3D primitive equations in a cube

Author(s)
Hamouda, MakramHan, DaozhiJung, Chang-YeolTawri, KrutikaTemam, Roger
Issued Date
2019-06
DOI
10.1016/j.jde.2019.01.005
URI
https://scholarworks.unist.ac.kr/handle/201301/30408
Fulltext
https://www.sciencedirect.com/science/article/pii/S0022039619300130?via%3Dihub
Citation
JOURNAL OF DIFFERENTIAL EQUATIONS, v.267, no.1, pp.61 - 96
Abstract
In this article we study the boundary layers for the subcritical modes of the viscous Linearized Primitive Equations (LPEs) in a cube at small viscosity. The boundary layers include the parabolic boundary layers, ordinary boundary layers, and their interaction-corner layers. The boundary layer correctors are determined by a phenomenological study reminiscent of the Prandtl corrector approach and then a rigorous convergence result is proved which a posteriori justifies the phenomenological study.
Publisher
ACADEMIC PRESS INC ELSEVIER SCIENCE
ISSN
0022-0396
Keyword
SHALLOW-WATER EQUATIONSCONVECTION-DIFFUSION EQUATIONSSTRICTLY HYPERBOLIC SYSTEMSINGULAR PERTURBATIONSDIFFERENTIABILITYEXPANSION

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