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On the breakup of air bubbles in a Hele-Shaw cell

Published online by Cambridge University Press:  21 December 2010

VLADIMIR ENTOV  and
PAVEL ETINGOF
PAVEL ETINGOF
Affiliation:
Department of Mathematics, Massachusetts Institute of Technology, Cambridge, MA 02139, USA e-mail: etingof@math.mit.edu
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Abstract

We study the problem of breakup of an air bubble in a Hele-Shaw cell. In particular, we propose some sufficient conditions of breakup of the bubble, and ways to find the contraction points of its parts. We also study regulated contraction of a pair of bubbles (in which the rates of air extraction from the bubbles are controlled) and study various asymptotic questions (such as the asymptotics of contraction of a bubble to a degenerate critical point, and asymptotics of contraction of a small bubble in the presence of a big bubble)

Keywords

bubbleHele-Shaw cellcontractionmoving boundary
Type
Papers
Information
European Journal of Applied Mathematics , Volume 22 , Issue 2 , April 2011 , pp. 125 - 149
Copyright
Copyright © Cambridge University Press 2010

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References

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