Boundary Layers for the Subcritical Modes of the 3d Primitive Equations in a Cube

Makram Hamouda; Daozhi Han; Chang-Yeol Jung; Krutika Tawri; Roger Temam

doi:10.1016/j.jde.2019.01.005

Boundary Layers for the Subcritical Modes of the 3d Primitive Equations in a Cube

Makram Hamouda
, Daozhi Han
, Chang-Yeol Jung
, Krutika Tawri
, Roger Temam

Missouri University of Science and Technology

Research output: Contribution to journal › Article › peer-review

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.

Original language	American English
Journal	Journal of Differential Equations
Volume	267
DOIs	https://doi.org/10.1016/j.jde.2019.01.005
State	Published - Jun 1 2019

Disciplines

Mathematics
Statistics and Probability

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https://doi.org/10.1016/j.jde.2019.01.005

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title = "Boundary Layers for the Subcritical Modes of the 3d Primitive Equations in a Cube",

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.",

author = "Makram Hamouda and Daozhi Han and Chang-Yeol Jung and Krutika Tawri and Roger Temam",

year = "2019",

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language = "American English",

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T1 - Boundary Layers for the Subcritical Modes of the 3d Primitive Equations in a Cube

AU - Hamouda, Makram

AU - Han, Daozhi

AU - Jung, Chang-Yeol

AU - Tawri, Krutika

AU - Temam, Roger

PY - 2019/6/1

Y1 - 2019/6/1

N2 - 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.

AB - 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.

UR - https://scholarsmine.mst.edu/math_stat_facwork/820

UR - https://doi.org/10.1016/j.jde.2019.01.005

U2 - 10.1016/j.jde.2019.01.005

DO - 10.1016/j.jde.2019.01.005

M3 - Article

VL - 267

JO - Journal of Differential Equations

JF - Journal of Differential Equations

ER -

Boundary Layers for the Subcritical Modes of the 3d Primitive Equations in a Cube

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