THE SUPERCOOLED ONE-PHASE STEFAN PROBLEM IN SPHERICAL SYMMETRY

Paola Mannucci, Domingo Alberto Tarzia
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