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Classification of blow-up for Hele-Shaw flow solutions driven by suction

Published online by Cambridge University Press:  18 April 2013

YU-LIN LIN
YU-LIN LIN*
Affiliation:
Department of Mathematics, KTH, SE-100 44, Stockholm, Sweden email: [email protected]
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Abstract

In this paper, we consider rational or multi-cut solutions to Hele-Shaw flow driven by suction. A lower bound of the distance between the moving boundary and the suction point is given and this lower bound enables us to find necessary conditions for rational or multi-cut solutions to blow up due to the boundary touching the sink.

Keywords

Hele-ShawPolubarinova–Galin equationquadrature domainLöwner–Kufarev Equation
Type
Papers
Information
European Journal of Applied Mathematics , Volume 24 , Issue 5 , October 2013 , pp. 679 - 689
Copyright
Copyright © Cambridge University Press 2013 

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