Disappearance of phase in the Stefan problem: one space dimension

Author:

Aronson D. G.,Kamin S.

Abstract

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/(tT)) as extinction approaches (C, α > 0) and that phase boundaries at extinction have finite speeds.

Publisher

Cambridge University Press (CUP)

Subject

Applied Mathematics

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2. Bibliography;The Classical Stefan Problem;2018

3. Bibliography;North-Holland Series in Applied Mathematics and Mechanics;2003

4. On the Melting of Ice Balls;SIAM Journal on Mathematical Analysis;1997-01

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