Average of the Navier's law on the rapidly oscillating boundary

Authors
Marusic-Paloka, E
Citation
E. Marusic-paloka, Average of the Navier's law on the rapidly oscillating boundary, J MATH ANAL, 259(2), 2001, pp. 685-701
Citations number
25
Categorie Soggetti
Mathematics
Journal title
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
ISSN journal
0022247X → ACNP
Volume
259
Issue
2
Year of publication
2001
Pages
685 - 701
Database
ISI
SICI code
0022-247X(20010715)259:2<685:AOTNLO>2.0.ZU;2-P
Abstract
We study the flow of Newtonian fluid in a domain with periodically wrinkled boundary with slip (Navier's) boundary condition. The goal of this paper i s to replace a microscopic boundary condition, posed on the rough boundary, by some macroscopic boundary condition, posed on the middle surface of the oscillating boundary. Depending on the shape of wrinkles and the friction coefficient we get four different effective models. (C) 2001 Academic Press .