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

Bertsch, M.; de Mottoni, P.; Peletier, L. A.

doi:10.1090/S0002-9947-1986-0816319-3

The Stefan problem with heating: appearance and disappearance of a mushy region
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by M. Bertsch, P. de Mottoni and L. A. Peletier

Trans. Amer. Math. Soc. 293 (1986), 677-691

DOI: https://doi.org/10.1090/S0002-9947-1986-0816319-3

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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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