On a free boundary problem modelling inductive-heating processes (Q998754)

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scientific article; zbMATH DE number 5500361
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On a free boundary problem modelling inductive-heating processes
scientific article; zbMATH DE number 5500361

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    On a free boundary problem modelling inductive-heating processes (English)
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    29 January 2009
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    Summary: 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.
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    free boundary problem
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    induction heating
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    superheating
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