Homogenization of the Stokes system in a thin film flow with rapidly varying thickness

Guy Bayada; Michèle Chambat

ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique (1989)

  • Volume: 23, Issue: 2, page 205-234
  • ISSN: 0764-583X

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Bayada, Guy, and Chambat, Michèle. "Homogenization of the Stokes system in a thin film flow with rapidly varying thickness." ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique 23.2 (1989): 205-234. <http://eudml.org/doc/193557>.

@article{Bayada1989,
author = {Bayada, Guy, Chambat, Michèle},
journal = {ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique},
keywords = {fluid flow between two close rough surfaces; energy method; Stokes system solution},
language = {eng},
number = {2},
pages = {205-234},
publisher = {Dunod},
title = {Homogenization of the Stokes system in a thin film flow with rapidly varying thickness},
url = {http://eudml.org/doc/193557},
volume = {23},
year = {1989},
}

TY - JOUR
AU - Bayada, Guy
AU - Chambat, Michèle
TI - Homogenization of the Stokes system in a thin film flow with rapidly varying thickness
JO - ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
PY - 1989
PB - Dunod
VL - 23
IS - 2
SP - 205
EP - 234
LA - eng
KW - fluid flow between two close rough surfaces; energy method; Stokes system solution
UR - http://eudml.org/doc/193557
ER -

References

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  2. [2] G. BAYADA et M. CHAMBAT, On the various aspects of the thin film equation in hydrodynamic lubrification when the roughness occurs, in « Applications of multiple scaling in mechanics », Masson, Paris 1987. Zbl0649.76013MR901987
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  4. [4] G. BAYADA et J. B. FAURE, Application des techniques d'homogénéisation à des phénomènes de rugosité en lubrification hydrodynamique, Publications U.A. 740 CNRS Lyon St Etienne, 32 (1984) 1-52. 
  5. [5] A. BENSOUSSAN, J. L. LIONS et G. PAPANICOLAOU, Asymptotic analysis for periodic structure, North Holland, Amsterdam 1978. Zbl0404.35001MR503330
  6. [6] D. CAILLERIE, Homogénéisation des équations de la diffusion stationnaire dans des domaines cylindriques aplatis, RAIRO Anal. Num.,15 (4) (1981) 295-319. Zbl0483.35003MR642495
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