In this paper we study a free boundary problem describing a melting process by using induction heating. The mathematical model in one-space dimension consists of a coupled-parabolic system in each phase along with a non-equilibrium kinetic condition on the interface. By applying an energy estimate and a Campanato type of estimates, it is shown that the problem has a unique classical solution globally.
Cite this article
Hong-Ming Yin, On a free boundary problem modelling inductive-heating processes. Interfaces Free Bound. 10 (2008), no. 3, pp. 361–375DOI 10.4171/IFB/193