Flows of incompressible viscous liquids with anisotropic wall slip

被引：9
|
作者：
Le Roux, C. [1 ]
机构：
[1] Univ Pretoria, Dept Math & Appl Math, Private Bag X20, ZA-0028 Hatfield, South Africa
来源：
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2018年 / 465卷 / 02期
关键词：
Stokes equations; Slip boundary condition; Rough boundary; EFFECTIVE BOUNDARY-CONDITIONS; STOKES-FLOW; KORNS TYPE; ROUGH; INEQUALITIES; LAW;
D O I：
10.1016/j.jmaa.2018.05.020
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper deals with a boundary-value problem for the Stokes equations with a genera] direction-dependent Navier type slip boundary condition. This problem models the steady laminar flow of an incompressible linearly viscous liquid in a bounded domain with an impermeable rough boundary with variable and anisotropic roughness. It is proved that the problem has a unique weak solution. (C) 2018 Elsevier Inc. All rights reserved.
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页码：723 / 730
页数：8
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