About thin film micropolar asymptotic equations

Authors
Bayada, G Chambat, M Gamouana, SR
Citation
G. Bayada et al., About thin film micropolar asymptotic equations, Q APPL MATH, 59(3), 2001, pp. 413-439
Citations number
14
Categorie Soggetti
Engineering Mathematics
Journal title
QUARTERLY OF APPLIED MATHEMATICS
ISSN journal
0033569X → ACNP
Volume
59
Issue
3
Year of publication
2001
Pages
413 - 439
Database
ISI
SICI code
0033-569X(200109)59:3<413:ATFMAE>2.0.ZU;2-6
Abstract
We study from a mathematical point of view the asymptotic behaviour of micr opolar fluids in lubrication theory. Different assumptions are made on the dependence of the micropolar characteristic numbers and of the Dirichlet bo undary conditions for the velocity and the rotation, with respect to the sm all gap parameter. Various generalized Reynolds equations are rigorously ob tained and second-order estimates are also given.