Asymptotic Analysis of the Linearized Navier-Stokes Equations in a General 2D Domain

Roger Temam; Xiaoming Wang

doi:10.3233/asy-1997-14401

Asymptotic Analysis of the Linearized Navier-Stokes Equations in a General 2D Domain

Roger Temam
, Xiaoming Wang

Mathematics and Statistics

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

Abstract

<p> We continue our study of the asymptotic behavior of the Navier-Stokes equations linearized around the rest state as viscostiy ε approaches zero. We study the convergence as ε → 0 to the inviscid type equations. Suitable correctors are obtained which resolve the boundary layer and we obtain convergence results valid up to the boundary. Explicit asymptotic expansion formulas are given which display the boundary layer phenomena. We improve our previous by treating here the general smooth bounded domain in &reals;2 instead of two-dimensional channels. Curvilinear coordinates are used to resolve the complex geometry. © 1997 - IOS Press. All rights reserved.</p>

Original language	American English
Journal	Asymptotic Analysis
Volume	14
DOIs	https://doi.org/10.3233/asy-1997-14401
State	Published - Jan 1 1997

Keywords

Asymptotic Expansions
Boundary Layer
Correctors
Curvilinear Coordinates
Navier-Stokes Equations

Disciplines

Mathematics
Statistics and Probability

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https://doi.org/10.3233/asy-1997-14401

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title = "Asymptotic Analysis of the Linearized Navier-Stokes Equations in a General 2D Domain",

abstract = " We continue our study of the asymptotic behavior of the Navier-Stokes equations linearized around the rest state as viscostiy \ε approaches zero. We study the convergence as \ε \→ 0 to the inviscid type equations. Suitable correctors are obtained which resolve the boundary layer and we obtain convergence results valid up to the boundary. Explicit asymptotic expansion formulas are given which display the boundary layer phenomena. We improve our previous by treating here the general smooth bounded domain in \&reals;2 instead of two-dimensional channels. Curvilinear coordinates are used to resolve the complex geometry. \© 1997 - IOS Press. All rights reserved.",

keywords = "Asymptotic Expansions, Boundary Layer, Correctors, Curvilinear Coordinates, Navier-Stokes Equations",

author = "Roger Temam and Xiaoming Wang",

year = "1997",

month = jan,

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doi = "10.3233/asy-1997-14401",

language = "American English",

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T1 - Asymptotic Analysis of the Linearized Navier-Stokes Equations in a General 2D Domain

AU - Temam, Roger

AU - Wang, Xiaoming

PY - 1997/1/1

Y1 - 1997/1/1

N2 - We continue our study of the asymptotic behavior of the Navier-Stokes equations linearized around the rest state as viscostiy ε approaches zero. We study the convergence as ε → 0 to the inviscid type equations. Suitable correctors are obtained which resolve the boundary layer and we obtain convergence results valid up to the boundary. Explicit asymptotic expansion formulas are given which display the boundary layer phenomena. We improve our previous by treating here the general smooth bounded domain in &reals;2 instead of two-dimensional channels. Curvilinear coordinates are used to resolve the complex geometry. © 1997 - IOS Press. All rights reserved.

AB - We continue our study of the asymptotic behavior of the Navier-Stokes equations linearized around the rest state as viscostiy ε approaches zero. We study the convergence as ε → 0 to the inviscid type equations. Suitable correctors are obtained which resolve the boundary layer and we obtain convergence results valid up to the boundary. Explicit asymptotic expansion formulas are given which display the boundary layer phenomena. We improve our previous by treating here the general smooth bounded domain in &reals;2 instead of two-dimensional channels. Curvilinear coordinates are used to resolve the complex geometry. © 1997 - IOS Press. All rights reserved.

KW - Asymptotic Expansions

KW - Boundary Layer

KW - Correctors

KW - Curvilinear Coordinates

KW - Navier-Stokes Equations

UR - https://scholarsmine.mst.edu/math_stat_facwork/1265

UR - https://doi.org/10.3233/asy-1997-14401

U2 - 10.3233/asy-1997-14401

DO - 10.3233/asy-1997-14401

M3 - Article

VL - 14

JO - Asymptotic Analysis

JF - Asymptotic Analysis

ER -

Asymptotic Analysis of the Linearized Navier-Stokes Equations in a General 2D Domain

Abstract

Keywords

Disciplines

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