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An elliptic-parabolic free boundary problem: continuity of the interface

Published online by Cambridge University Press:  14 November 2011

J. Hulshof
J. Hulshof
Affiliation:
Mathematisch Instituut, Rÿksuniversiteit Leiden, Postbus 9512, 2300 RA Leiden, The Netherlands
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Synopsis

In this paper we establish continuity of the interface of the weak solution to an elliptic-parabolic problem. The physical background is the theory of partially saturated fluid flows in porous media. Our method is based on the maximum principle for parabolic equations. An essential assumption is that the flow is one-dimensional.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 106 , Issue 3-4 , 1987 , pp. 327 - 339
Copyright
Copyright © Royal Society of Edinburgh 1987

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