UNIQUENESS OF SOLUTION FOR A CLASS OF STEFAN PROBLEMS

This paper deals with a theoretical mathematical analysis of one-dimensional solidification problem, in which kinetic undercooling is incorporated into the This temperature condition at the interface. A model problem with nonlinear kinetic law is considered. We prove a local result intimate for the...

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Bibliographic Details
Format: Article
Language:English
Published: University of Tehran 2002-03-01
Series:Journal of Sciences, Islamic Republic of Iran
Online Access:https://jsciences.ut.ac.ir/article_31756_5f8c103650bd0f003f9b7a8ef57ec23d.pdf
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Summary:This paper deals with a theoretical mathematical analysis of one-dimensional solidification problem, in which kinetic undercooling is incorporated into the This temperature condition at the interface. A model problem with nonlinear kinetic law is considered. We prove a local result intimate for the uniqueness of solution of the corresponding free boundary problem.
ISSN:1016-1104
2345-6914