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

Author:

Rodrigues José Francisco,Yi Fahuai

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.

Publisher

Cambridge University Press (CUP)

Subject

Applied Mathematics

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