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

Mathematics

Indiana University Bloomington
Université de Tunis El Manar
Ulsan National Institute of Science and Technology

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

8 Scopus citations

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	English
Pages (from-to)	873-889
Number of pages	17
Journal	Journal of Applied Analysis and Computation
Volume	8
Issue number	3
DOIs	https://doi.org/10.11948/2018.873
State	Published - Jun 2018

Keywords

Boundary layer
Primitive equations
Vanishing viscosity limit
Zero-mode

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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 Jung, \{Chang Yeol\} and Roger Temam",

year = "2018",

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doi = "10.11948/2018.873",

language = "English",

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T2 - The zero-mode

AU - Hamouda, Makram

AU - Han, Daozhi

AU - Jung, Chang Yeol

AU - Temam, Roger

PY - 2018/6

Y1 - 2018/6

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://www.scopus.com/pages/publications/85049893860

U2 - 10.11948/2018.873

DO - 10.11948/2018.873

M3 - Article

AN - SCOPUS:85049893860

SN - 2156-907X

VL - 8

SP - 873

EP - 889

JO - Journal of Applied Analysis and Computation

JF - Journal of Applied Analysis and Computation

IS - 3

ER -

Boundary layers for the 3d primitive equations in a cube: The zero-mode

Abstract

Keywords

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