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
收藏
页码：7358 / 7396
页数：39
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