On a phase-change problem arising from inductive heating |
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Authors: | Hong-Ming Yin |
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Affiliation: | (1) Department of Mathematics, Washington State University, Pullman, WA 99164, USA |
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Abstract: | In this paper we study a phase-change problem arising from induction heating. The mathematical model consists of time-harmonic Maxwell’s system in a quasi-stationary field coupled with nonlinear heat conduction. The enthalpy form is used to characterize the phase-change in the material. It is shown that the problem has a global solution. Moreover, it is shown that the solution is unique and regular in one-space dimension even with an unbounded resistivity. This work is supported in part by a NSF grant: DMS-0102261 |
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Keywords: | 35R35 |
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