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VOL. 30 | 1992 A survey of Supercooled Steafan problems
J. N. Dewynne

Editor(s) Robert S. Anderssen, Amiya K. Pani


Supercooled Stefan problems describe the freezing of a liquid initially cooled below its freezing point. The liquid and solid phases are separated by a sharp interface that constitutes a moving boundary. Such problems are notoriously ill-posed and not only is a planar moving boundary unstable to small perturbations, but the problem is prone to so called finite time blow up if the degree of initial undercooling is too great. A number of modifications to the the isothermal phase change condition have been proposed in order to prevent finite time blow up. These include applying a Gibbs-Thomson condition and/or a kinetic undercooling condition at the free boundary. A survey of recent results for supercooled Stefan problems, including effects of these modifications, is presented.


Published: 1 January 1992
First available in Project Euclid: 18 November 2014

zbMATH: 0798.35164
MathSciNet: MR1210749

Rights: Copyright © 1992, Centre for Mathematics and its Applications, Mathematical Sciences Institute, The Australian National University. This book is copyright. Apart from any fair dealing for the purpose of private study, research, criticism or review as permitted under the Copyright Act, no part may be reproduced by any process without permission. Inquiries should be made to the publisher.


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