About thin film micropolar asymptotic equations

被引：10
|
作者：
Bayada, G
Chambat, M
Gamouana, SR
机构：
[1] Inst Natl Sci Appl, LMMCS, UMR 5585 5514, F-69621 Villeurbanne, France
[2] Univ Lyon 1, CNRS, UMR 5585, F-69622 Villeurbanne, France
来源：
QUARTERLY OF APPLIED MATHEMATICS | 2001年 / 59卷 / 03期
关键词：
D O I：
10.1090/qam/1848526
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We study from a mathematical point of view the asymptotic behaviour of micropolar fluids in lubrication theory. Different assumptions are made on the dependence of the micropolar characteristic numbers and of the Dirichlet boundary conditions for the velocity and the rotation, with respect to the small gap parameter. Various generalized Reynolds equations are rigorously obtained and second-order estimates are also given.
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页码：413 / 439
页数：27
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