THE SUPERCOOLED ONE-PHASE STEFAN PROBLEM IN SPHERICAL SYMMETRY
Paola Mannucci, Domingo Alberto Tarzia · Demonstratio Mathematica · 1999
The supercooled one-phase Stefan problem in spherical symmetry with a heat flux condition at the fixed face is considered. The relation between the heat flux and the initial temperature is analysed in order to characterize the cases with a global solution (possibility of continuing the solution for arbitrarily large time intervals), a finite time extinction and a blow-up at a finite time.