Disappearance of phase in the Stefan problem: One space dimension

D. G. Aronson, S. Kamin

Research output: Contribution to journalArticlepeer-review


We consider the two-phase one-dimensional Stefan problem in a finite interval, with initial and boundary conditions such that the solid phase vanishes at a finite time T and at a single point. We show that the temperature in the solid phase decreases to zero and is bounded by c exp (α/(t − T)) as extinction approaches (C, α > 0) and that phase boundaries at extinction have finite speeds.

Original languageEnglish
Pages (from-to)301-309
Number of pages9
JournalEuropean Journal of Applied Mathematics
Issue number4
StatePublished - Dec 1990


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