Two-phase Stefan problem with supercooling

Ivan G Götz, Boris Zaltzman

Research output: Contribution to journalArticlepeer-review


Both one-dimensional two-phase Stefan problems with the thermodynamic equilibriumcondition θ(R(t),t)=0, and with the kinetic rule θ(R(t),t)=-ε̇R(t) at the moving boundary x=R(t) are considered. We study the properties of the regular solutions of the problem with equilibrium condition. They are obtained as a limit of solutions of the problem with the kinetic law as ε→0. The peculiarity of our problem is the partial supercooling of the liquid phase (θ<0) at the initial state. 

Original languageEnglish GB
Pages (from-to)694-714
Number of pages21
JournalSIAM Journal on Mathematical Analysis
Issue number3
StatePublished - 1995


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