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

Guy Bayada | Zendy; Mahdi Boukrouche | Zendy; Midhat Talibi | Zendy

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

Author(s) -

Guy Bayada,

Mahdi Boukrouche,

Midhat Talibi

Publication year - 1995

Publication title -

zeitschrift für analysis und ihre anwendungen

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.567

H-Index - 35

eISSN - 1661-4534

pISSN - 0232-2064

DOI - 10.4171/zaa/663

Subject(s) - lubrication , generalization , uniqueness , hele shaw flow , connection (principal bundle) , lubrication theory , transient (computer programming) , basis (linear algebra) , mathematics , type (biology) , calculus (dental) , computer science , mathematical analysis , flow (mathematics) , physics , geometry , thermodynamics , geology , medicine , paleontology , dentistry , open channel flow , operating system

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.

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