The Stefan problem with heating: appearance and disappearance of a mushy region
Michiel Bertsch, Piero De Mottoni, L. A. Peletier · Transactions of the American Mathematical Society · 1986
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.