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The Stefan problem with mushy regions: continuity of the interface

Published online by Cambridge University Press:  14 November 2011

M. Bertsch  and
M. H. A. Klaver
M. Bertsch
Affiliation:
Dipartimento di matematica, Universitá di Torino, Via Principe Amedeo 8, 10123 Torino, Italy
M. H. A. Klaver
Affiliation:
Mathematical Institute, University of Leiden, P.O. Box 9512, 2300 RA Leiden, The Netherlands
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Synopsis

In this paper we consider a one-dimensional Stefan problem with a source term. Under the assumption that the initial profile is monotone, we obtain continuity of the free boundaries between the solid, the mushy and the liquid region.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 112 , Issue 1-2 , 1989 , pp. 33 - 52
Copyright
Copyright © Royal Society of Edinburgh 1989

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