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On nonlinear interface dynamics in Hele-Shaw flows

Published online by Cambridge University Press:  26 September 2008

V. M. Entov ,
P. I. Etingof  and
D. Ya. Kleinbock
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
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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
Information
European Journal of Applied Mathematics , Volume 6 , Issue 5 , October 1995 , pp. 399 - 420
Copyright
Copyright © Cambridge University Press 1995

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