Homogenization of a Class of Nonlinear Variational Inequalities with Applications in Fluid Film Flow

被引：0
作者：
Dag LUKKASSEN
Annette MEIDELL
Peter WALL
机构：
[1] Narvik University College
[2] Department of Mathematics,Lule University of Technology
来源：
Chinese Annals of Mathematics(Series B) | 2011年 / 32卷 / 03期
关键词：
Homogenization; Two-scale convergence; Lubrication; Variational inequalities;
D O I：
暂无
中图分类号：
O178 [不等式及其他];
学科分类号：
0701 ; 070101 ;
摘要：
The authors consider the homogenization of a class of nonlinear variational inequalities,which include rapid oscillations with respect to a parameter.The homogenization of the corresponding class of differential equations is also studied.The results are applied to some models for the pressure in a thin fluid film fluid between two surfaces which are in relative motion.This is an important problem in the lubrication theory.In particular,the analysis includes the effects of surface roughness on both faces and the phenomenon of cavitation.Moreover,the fluid can be modeled as Newtonian or non-Newtonian by using a Rabinowitsch fluid model.
引用
收藏
页码：417 / 434
页数：18
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