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A note on the two-phase Hele-Shaw problem

Published online by Cambridge University Press:  25 April 2000

SAM D. HOWISON
Affiliation:
Mathematical Institute, Oxford University, 24–29 St Giles, Oxford, OX1 3LB, UK
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Abstract

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We discuss some techniques for finding explicit solutions to immiscible two-phase flow in a Hele-Shaw cell, exploiting properties of the Schwartz function of the interface between the fluids. We also discuss the question of the well-posedness of this problem.

Type
Research Article
Copyright
© 2000 Cambridge University Press