Differential and Integral Equations

Asymptotic analysis of the linearized Navier-Stokes equations in a channel

Roger Temam and Xiao Ming Wang

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Abstract

In this article we study and derive explicit formulas for the boundary layers occurring in the linearized channel flows in the limit of small viscosity. Our study is based on classical boundary layer techniques combined with a new global treatment of the pressure term.

Article information

Source
Differential Integral Equations, Volume 8, Number 7 (1995), 1591-1618.

Dates
First available in Project Euclid: 12 May 2013

Permanent link to this document
https://projecteuclid.org/euclid.die/1368397749

Mathematical Reviews number (MathSciNet)
MR1347972

Zentralblatt MATH identifier
0832.35112

Subjects
Primary: 35Q30: Navier-Stokes equations [See also 76D05, 76D07, 76N10]
Secondary: 35B40: Asymptotic behavior of solutions 76D05: Navier-Stokes equations [See also 35Q30] 76D10: Boundary-layer theory, separation and reattachment, higher-order effects 76D30

Citation

Temam, Roger; Wang, Xiao Ming. Asymptotic analysis of the linearized Navier-Stokes equations in a channel. Differential Integral Equations 8 (1995), no. 7, 1591--1618. https://projecteuclid.org/euclid.die/1368397749


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