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Remarks on the quasi-steady one phase Stefan problem

Published online by Cambridge University Press:  14 November 2011

Bento Louro  and
José-Francisco Rodrigues
Bento Louro
Affiliation:
Centro de Matemática e Aplicaçõoes Fundamentais, Av. Prof. Gama Pinto, 2, 1699 Lisboa Codex, Portugal
José-Francisco Rodrigues
Affiliation:
Centro de Matemática e Aplicaçõoes Fundamentais, Av. Prof. Gama Pinto, 2, 1699 Lisboa Codex, Portugal
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Synopsis

This paper presents some regularity results on the solution and on the free boundary for the one phase Stefan problem with zero specific heat in the framework of the variational inequalities formulation. In particular we show the Hölder continuity of the free boundary. Estimates on the rate of convergence when the specific heat vanishes are given for the variational solutions and for the free boundaries.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 102 , Issue 3-4 , 1986 , pp. 263 - 275
Copyright
Copyright © Royal Society of Edinburgh 1986

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