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Transactions of the American Mathematical Society

ISSN 1088-6850(online) ISSN 0002-9947(print)

 

 

The Stefan problem with heating: appearance and disappearance of a mushy region


Authors: M. Bertsch, P. de Mottoni and L. A. Peletier
Journal: Trans. Amer. Math. Soc. 293 (1986), 677-691
MSC: Primary 35R35; Secondary 35K65
DOI: https://doi.org/10.1090/S0002-9947-1986-0816319-3
MathSciNet review: 816319
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Abstract: We consider a material which is initially in the solid state and then, due to heating, starts to melt. We describe the appearance of a so-called mushy region, i.e., a region in which the material is in neither a solid nor a liquid state. The main result is that after a finite time the mushy region has disappeared and only the solid and the liquid phases have remained.


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DOI: https://doi.org/10.1090/S0002-9947-1986-0816319-3
Article copyright: © Copyright 1986 American Mathematical Society