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Regularity of the Interfaces in the Stefan Problem with a Mushy Region

Published online by Cambridge University Press:  20 November 2018

Hong-Ming Yin
Hong-Ming Yin*
Affiliation:
Department of Mathematics and Statistics McMaster University Hamilton, Ontario L8S 4K1
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Abstract

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This paper deals with the Stefan-type problem with a zone of coexistence of both phases. We formulate the problem in the enthalpy form and show that the interfaces between the liquid and the mushy, the mushy and the solid phase are smooth. Our approach is to study the structures of the level sets of the solution via Sard's Lemma and the implicit function theorem.

Keywords

35R3580A20.
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 35 , Issue 1 , 01 March 1992 , pp. 136 - 144
Copyright
Copyright © Canadian Mathematical Society 1992

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