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 | References | Similar Articles | Additional Information

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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Additional Information

DOI:
https://doi.org/10.1090/qam/1162277

Article copyright:
© Copyright 1992
American Mathematical Society