JournalszaaVol. 14, No. 1pp. 59–87

The Transient Lubrication Problem as a Generalized Hele-Shaw Type Problem

  • G. Bayada

    Université Lyon 1, Villeurbanne, France
  • M. Boukrouche

    Université Lyon 1, Villeurbanne, France
  • M. El-A. Talibi

    Université Cadi Ayyad, Marrakech, Morocco
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Abstract

The aim of this paper is to bridge the gap between Hele-Shaw theory and lubrication theory. A first generalization of the Hele-Shaw problem is considered for which existence, uniqueness and regularity theorems are given. Then taking shear effects into account, lubrication fluid mixture approach has to be used, inducing a new formulation of the initial problem. Connection of the two kind of problems are then given, establishing Ilele-Shaw phenomena as a particular case of lubrication problem on a mathematical basis.

Cite this article

G. Bayada, M. Boukrouche, M. El-A. Talibi, The Transient Lubrication Problem as a Generalized Hele-Shaw Type Problem. Z. Anal. Anwend. 14 (1995), no. 1, pp. 59–87

DOI 10.4171/ZAA/663