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On nonlinear interface dynamics in Hele-Shaw flows

Published online by Cambridge University Press:  26 September 2008

V. M. Entov
Affiliation:
Institute for Problems in Mechanics of the Russian Academy of Sciences, Moscow, Russia
P. I. Etingof
Affiliation:
Harvard University, USA
D. Ya. Kleinbock
Affiliation:
Yale University, New Haven, USA

Abstract

Flows with free boundaries in a Hele-Shaw cell provide a unique opportunity to study non-linear boundary dynamics using rigorous analytic approaches. While of limited direct ‘practical value’, these studies give rise to a plethora of new phenomena and insights which may serve as beacons in the turbulent ocean of moving free boundaries and pattern forming. This paper gives a brief summary of the authors' studies of Hele-Shaw flows with free boundaries and some related problems based upon Richardson's approach. Some promising directions of further research are also discussed.

Type
Research Article
Copyright
Copyright © Cambridge University Press 1995

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