Geodesic
On a free boundary problem modelling inductive-heating processes
Hong-Ming Yin1
1Washington State University, Pullman, United States
Interfaces and free boundaries, Tome 10 (2008) no. 3, pp. 361-375

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DOI

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.
DOI : 10.4171/ifb/193
Classification : 35-XX, 65-XX, 76-XX, 92-XX
Mots-clés : Free boundary problem, induction heating, superheating

Hong-Ming Yin  1

1 Washington State University, Pullman, United States 
Hong-Ming Yin. On a free boundary problem modelling inductive-heating processes. Interfaces and free boundaries, Tome 10 (2008) no. 3, pp. 361-375. doi: 10.4171/ifb/193
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     title = {On a free boundary problem modelling inductive-heating processes},
     journal = {Interfaces and free boundaries},
     pages = {361--375},
     year = {2008},
     volume = {10},
     number = {3},
     doi = {10.4171/ifb/193},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/ifb/193/}
}
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