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On a two-phase continuous casting Stefan problem with nonlinear flux

Published online by Cambridge University Press:  16 July 2009

José Francisco Rodrigues  and
Fahuai Yi
José Francisco Rodrigues
Affiliation:
C.M.A.F.–I.N.I.C. and University of Lisbon, Av. Prof Gama Pinto, 2, 1699 Lisboa Codex, Portugal
Fahuai Yi
Affiliation:
Department of Mathematics, Suzhou University, Suzhou, China
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Abstract

We prove the existence of a weak solution for a two-phase continuous casting Stefan problem with a general monotone nonlinear cooling condition. We establish a sufficient condition for stability, which yields uniqueness and comparison results for the evolutionary and the steady- state solutions. We also discuss the asymptotic behaviour as t←∞ of the corresponding temperatures and enthalpies.

Type
Research Article
Information
European Journal of Applied Mathematics , Volume 1 , Issue 3 , September 1990 , pp. 259 - 278
Copyright
Copyright © Cambridge University Press 1990

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