JournalsifbVol. 10, No. 3pp. 361–375

On a free boundary problem modelling inductive-heating processes

  • Hong-Ming Yin

    Washington State University, Pullman, United States
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Abstract

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. 361–375

DOI 10.4171/IFB/193