The Supercooled One-Phase Stefan Problem in Spherical Symmetry

Abstract

Abstract. 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.