Viscous boundary layers for the Navier–Stokes equations with the Navier slip conditions

被引：2

作者：

Dragoş Iftimie

Franck Sueur

机构：

[1] Université de Lyon,Institut Camille Jordan

[2] Université Lyon 1,Laboratoire Jacques

[3] CNRS,Louis Lions

[4] UMR 5208,undefined

[5] Université Pierre et Marie Curie,undefined

[6] Université Paris 6,undefined

[7] CNRS,undefined

[8] UMR 7598,undefined

来源：

Archive for Rational Mechanics and Analysis | 2011年 / 199卷

关键词：

Boundary Layer; Energy Inequality; Euler System; Velocity Boundary Layer; Viscous Boundary Layer;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

We tackle the issue of the inviscid limit of the incompressible Navier–Stokes equations when the Navier slip-with-friction conditions are prescribed on impermeable boundaries. We justify an asymptotic expansion which involves a weak amplitude boundary layer, with the same thickness as in Prandtl’s theory and a linear behavior. This analysis holds for general regular domains, in both dimensions two and three.

引用

页码：145 / 175

页数：30

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