Extinction Behaviour of Contracting Bubbles in Porous Media

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McCue, S.
King, J.
Riley, D.
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R. Craster, P W Duck, P A Martin
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2003
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Abstract

This paper is concerned with bubble contraction in porous media otherwise filled with viscous fluid. We suppose that an external pressure is applied to the (fixed) boundary of a porous medium, forcing a bubble to contract towards a point. By using the Baiocchi transform, we are able to give a rather complete asymptotic description of the process at times just before the bubble vanishes. The application of time-reversal to the results leads to implications for bubble nucleation.

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The Quarterly Journal of Mechanics and Applied Mathematics
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Applied Mathematics
Civil Engineering
Mechanical Engineering
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