Homogenization of variational equations and inequalities with small oscillating parameters. Application to the study of thin film unstationary lubrication flow

被引：7

作者：

Bayada, G ^{[1
]}

Ciuperca, S

Jai, M

机构：

[1] Inst Natl Sci Appl Lyon, CNRS, UMR 5585, F-69621 Villeurbanne, France

[2] Univ Lyon 1, MAPLY, CNRS, UMR 5585, F-69622 Villeurbanne, France

[3] Inst Natl Sci Appl Lyon, CNRS, UMR 5514, F-69621 Villeurbanne, France

来源：

COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE II FASCICULE B-MECANIQUE | 2000年 / 328卷 / 11期

关键词：

homogenization; variational inequalities; lubrication;

D O I：

10.1016/S1620-7742(00)01266-6

中图分类号：

O3 [力学];

学科分类号：

08 ; 0801 ;

摘要：

Double scale homogenization is used to average stationary equation or inequalities in which both highly oscillating variables and parameters appear. We demonstrate how the limit is obtained using a two-stage procedure, firstly by carrying out a classical homogenization process by freezing the oscillating parameter, then by averaging the result with respect to this parameter. These results allow us to average the pressure for a newtonian fluid in a narrow gap between two rough unstationnary surfaces. (C) 2000 Academie des sciences/Editions scientifiques et medicales Elsevier SAS.

引用

页码：819 / 824

页数：6