Boundary Layers for the 3D Primitive Equations in a Cube: The Zero-Mode

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

doi:10.11948/2018.873

Boundary Layers for the 3D Primitive Equations in a Cube: The Zero-Mode

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

Missouri University of Science and Technology

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

Abstract

We establish the vanishing viscosity limit of the zero-mode of the linearized Primitive Equations in a cube. Our method is based on the explicit construction and estimates of the boundary layers. This result, together with that in [12, 15], allows us to conclude the vanishing viscosity limit of the linearized Primitive Equations in a cube.

Original language	American English
Journal	Journal of Applied Analysis and Computation
Volume	8
DOIs	https://doi.org/10.11948/2018.873
State	Published - Jun 1 2018

Keywords

Boundary layer
Primitive equations
Vanishing viscosity limit
Zero-mode

Disciplines

Mathematics
Statistics and Probability

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10.11948/2018.873License: Unspecified

https://doi.org/10.11948/2018.873

Cite this

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title = "Boundary Layers for the 3D Primitive Equations in a Cube: The Zero-Mode",

abstract = " We establish the vanishing viscosity limit of the zero-mode of the linearized Primitive Equations in a cube. Our method is based on the explicit construction and estimates of the boundary layers. This result, together with that in [12, 15], allows us to conclude the vanishing viscosity limit of the linearized Primitive Equations in a cube.",

keywords = "Boundary layer, Primitive equations, Vanishing viscosity limit, Zero-mode",

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

year = "2018",

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doi = "10.11948/2018.873",

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AU - Hamouda, Makram

AU - Han, Daozhi

AU - Jung, Chang-Yeol

AU - Temam, Roger

PY - 2018/6/1

Y1 - 2018/6/1

N2 - We establish the vanishing viscosity limit of the zero-mode of the linearized Primitive Equations in a cube. Our method is based on the explicit construction and estimates of the boundary layers. This result, together with that in [12, 15], allows us to conclude the vanishing viscosity limit of the linearized Primitive Equations in a cube.

AB - We establish the vanishing viscosity limit of the zero-mode of the linearized Primitive Equations in a cube. Our method is based on the explicit construction and estimates of the boundary layers. This result, together with that in [12, 15], allows us to conclude the vanishing viscosity limit of the linearized Primitive Equations in a cube.

KW - Boundary layer

KW - Primitive equations

KW - Vanishing viscosity limit

KW - Zero-mode

UR - https://scholarsmine.mst.edu/math_stat_facwork/819

UR - https://doi.org/10.11948/2018.873

U2 - 10.11948/2018.873

DO - 10.11948/2018.873

M3 - Article

SN - 2158-5644

VL - 8

JO - Journal of Applied Analysis and Computation

JF - Journal of Applied Analysis and Computation

ER -

Boundary Layers for the 3D Primitive Equations in a Cube: The Zero-Mode

Abstract

Keywords

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