Quarterly of Applied Mathematics

Quarterly of Applied Mathematics

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Analytic solution of the Stefan problem in finite mediums


Authors: A. Kar and J. Mazumder
Journal: Quart. Appl. Math. 52 (1994), 49-58
MSC: Primary 80A22; Secondary 35C10, 35R35
DOI: https://doi.org/10.1090/qam/1262318
MathSciNet review: MR1262318
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Abstract | References | Similar Articles | Additional Information

Abstract: The classical Stefan problem is considered in this paper for finite mediums with Dirichlet boundary conditions. Analytic solutions for the temperature distributions and the location of the moving interface are obtained by using Lie group theory and the superposition principle. The existence of analytically exact solutions is established by proving the convergence of the solution.


References [Enhancements On Off] (What's this?)

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Additional Information

DOI: https://doi.org/10.1090/qam/1262318
Article copyright: © Copyright 1994 American Mathematical Society


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