Some remarks on the Stefan problem with surface structure

Gurtin, Morton E.; Soner, H. Mete

doi:10.1090/qam/1162277

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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