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THE SUPERCOOLED ONE-PHASE STEFAN PROBLEM IN SPHERICAL SYMMETRY
1999
Demonstratio Mathematica
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.
doi:10.1515/dema-1999-0108
fatcat:aaf3wxi6p5cz5cyw2yndfqr7bu