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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
Abstract
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.
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- Copyright © Canadian Mathematical Society 1992
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