ON THE INVISCID LIMIT OF THE NAVIER-STOKES EQUATIONS

被引：41

作者：

Constantin, Peter ^{[1
]}

Kukavica, Igor ^{[2
]}

Vicol, Vlad ^{[1
]}

机构：

[1] Princeton Univ, Dept Math, Princeton, NJ 08544 USA

[2] Univ So Calif, Dept Math, Los Angeles, CA 90089 USA

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2015年 / 143卷 / 07期

基金：

美国国家科学基金会;

关键词：

Inviscid limit; Navier-Stokes equations; Euler equations; boundary layer; ZERO-VISCOSITY LIMIT; VANISHING VISCOSITY; ANALYTIC SOLUTIONS; PRANDTL EQUATIONS; BOUNDARY-LAYER; VORTICITY EQUATIONS; EULER EQUATIONS; ILL-POSEDNESS; HALF-SPACE; EXISTENCE;

D O I：

10.1090/S0002-9939-2015-12638-X

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider the convergence in the L-2 norm, uniformly in time, of the Navier-Stokes equations with Dirichlet boundary conditions to the Euler equations with slip boundary conditions. We prove that if the Oleinik conditions of no back-flow in the trace of the Euler flow, and of a lower bound for the Navier-Stokes vorticity is assumed in a Kato-like boundary layer, then the inviscid limit holds.

引用

页码：3075 / 3090

页数：16

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