Quarterly of Applied Mathematics

Quarterly of Applied Mathematics

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Some remarks on the Stefan problem with surface structure


Authors: Morton E. Gurtin and H. Mete Soner
Journal: Quart. Appl. Math. 50 (1992), 291-303
MSC: Primary 35R35; Secondary 35K05, 76A99, 76D45, 80A22
DOI: https://doi.org/10.1090/qam/1162277
MathSciNet review: MR1162277
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Abstract: This paper discusses a generalized Stefan problem which allows for supercooling and superheating and for capillarity in the interface between phases. Simple solutions are obtained indicating the chief differences between this problem and the classical Stefan problem. A weak formulation of the general problem is given.


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DOI: https://doi.org/10.1090/qam/1162277
Article copyright: © Copyright 1992 American Mathematical Society


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