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A geometric approach to the study of stationary free surface flows for viscous liquids

Published online by Cambridge University Press:  14 November 2011

Frédéric Abergel
Frédéric Abergel
Affiliation:
C.N.R.S. etUniversité Paris–Sud, Laboratoire d'Analyse Numérique, Bâtiment 425, 91405 Orsay, France
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Synopsis

We use a direct, geometric approach to study the free surface boundary conditions for stationary flows of viscous liquids. The free surface problem is characterised by a mapping on smooth variations of a given configuration; this mapping has a simple structure, which we determine by computing its differential, and studying it in terms of the space dimension and the surface tension coefficient. Applications are given to problems of existence, uniqueness and regularity in free surface flows.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 123 , Issue 2 , 1993 , pp. 209 - 229
Copyright
Copyright © Royal Society of Edinburgh 1993

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