Asymptotic behavior of the Navier-Stokes flow in a general 2D domain

Yinnian He; Chunshan Zhao

doi:10.1016/j.aml.2005.02.005

Asymptotic behavior of the Navier-Stokes flow in a general 2D domain

Yinnian He, Chunshan Zhao

Mathematical Sciences

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

Abstract

In this work, we consider the convergence of the Navier-Stokes flow to the Euler flow at small viscosity in a general 2D domain and derive some explicit asymptotic formulas for the convergence at small viscosity under some smoothness assumptions on the solution of the Euler flow.

Original language	English
Pages (from-to)	1170-1176
Number of pages	7
Journal	Applied Mathematics Letters
Volume	18
Issue number	10
DOIs	https://doi.org/10.1016/j.aml.2005.02.005
State	Published - Oct 2005

Scopus Subject Areas

Applied Mathematics

Keywords

Asymptotic behavior
Boundary layer flow
Euler flow
Navier-Stokes flow

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10.1016/j.aml.2005.02.005

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title = "Asymptotic behavior of the Navier-Stokes flow in a general 2D domain",

abstract = "In this work, we consider the convergence of the Navier-Stokes flow to the Euler flow at small viscosity in a general 2D domain and derive some explicit asymptotic formulas for the convergence at small viscosity under some smoothness assumptions on the solution of the Euler flow.",

keywords = "Asymptotic behavior, Boundary layer flow, Euler flow, Navier-Stokes flow",

author = "Yinnian He and Chunshan Zhao",

year = "2005",

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doi = "10.1016/j.aml.2005.02.005",

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AB - In this work, we consider the convergence of the Navier-Stokes flow to the Euler flow at small viscosity in a general 2D domain and derive some explicit asymptotic formulas for the convergence at small viscosity under some smoothness assumptions on the solution of the Euler flow.

KW - Asymptotic behavior

KW - Boundary layer flow

KW - Euler flow

KW - Navier-Stokes flow

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EP - 1176

JO - Applied Mathematics Letters

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Asymptotic behavior of the Navier-Stokes flow in a general 2D domain

Abstract

Scopus Subject Areas

Keywords

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