Navier wall law for nonstationary viscous incompressible flows

被引：8

作者：

Higalci, Mitsuo ^{[1
]}

机构：

[1] Tohoku Univ, Math Inst, Sendai, Miyagi 9808578, Japan

来源：

JOURNAL OF DIFFERENTIAL EQUATIONS | 2016年 / 260卷 / 10期

关键词：

Navier-Stokes equations; Rough boundary; Navier wall law; Boundary layer; EFFECTIVE BOUNDARY-CONDITIONS; STOKES EQUATIONS; HALF-SPACE; ROUGHNESS;

D O I：

10.1016/j.jde.2016.01.028

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study the Navier wall law for the two-dimensional initial boundary value problem of the Navier-Stokes equations in a domain with a rough boundary. The Navier wall law is verified for the initial data in C-1 class under the natural compatibility condition. Our proof relies on the boundary layer analysis and the L-infinity theory of the Navier-Stokes equations in the half space. (C) 2016 Elsevier Inc. All rights reserved.

引用

页码：7358 / 7396

页数：39