On the interface boundary conditions between two interacting incompressible viscous fluid flows

被引：3

作者：

Brillard, Alain ^{[1
]}

El Jarroudi, Mustapha ^{[2
]}

机构：

[1] Univ Haute Alsace, Lab Gest Risques & Environm, F-68093 Mulhouse, France

[2] Univ Abdelmalek Essaadi, FST Tanger, Dept Math, Tanger, Morocco

来源：

JOURNAL OF DIFFERENTIAL EQUATIONS | 2013年 / 255卷 / 05期

关键词：

Navier-Stokes system; Thin non-Newtonian boundary layers; Gamma-convergence; Interfacial boundary conditions; SEA;

D O I：

10.1016/j.jde.2013.04.038

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We consider two incompressible viscous fluid flows interacting through thin non-Newtonian boundary layers of higher Reynolds' number. We study the asymptotic behaviour of the problem, with respect to the vanishing thickness of the layers, using Gamma-convergence methods. We derive general interfacial boundary conditions between the two fluid flows. These boundary conditions are specified for some particular cases including periodic or fractal structures of layers. (C) 2013 Elsevier Inc. All rights reserved.

引用

页码：881 / 904

页数：24