On a free boundary problem modelling inductive-heating processes
نویسندگان
چکیده
Superheating is a phenomenon in which the temperature in a solid phase is higher than the melting temperature. This phenomenon is common when a microwave or an induction heating method is used during a melting process. The classical interface conditions (Stefan conditions) have to be modified in order to model this phenomenon. In this paper we study a melting process for highly conductive materials by using an induction heating method with possible superheating in the process. To derive the mathematical model, we recall Maxwell’s equations for an electric field E(x, t) and a magnetic field H(x, t) in R3 ([11, 16]):
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