Existence of a solution for a thermoelectric model with several phase changes and a CarathACOodory thermal conductivity

We present an existence result for the time domain eddy current model for electromagnetic field, coupled with a Stefan problem for temperature. We have extended the existence result proved by BermAodez et al. (2005) [40] to the case of materials with several phase changes and thermal conductivity de...

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Bibliographic Details
Published in:Nonlinear analysis: real world applications 2013-12, Vol.14 (6), p.2212-2230
Main Authors: Bermudez, Alfredo, Munoz-Sola, Rafael, Pena, Francisco
Format: Article
Language:English
Subjects:
Eddy currents
Electromagnetic fields
Heat transfer
Mathematical models
Nonlinearity
Phase transformations
Thermal conductivity
Thermoelectricity
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Summary:We present an existence result for the time domain eddy current model for electromagnetic field, coupled with a Stefan problem for temperature. We have extended the existence result proved by BermAodez et al. (2005) [40] to the case of materials with several phase changes and thermal conductivity depending on both position and temperature.
ISSN:1468-1218
DOI:10.1016/j.nonrwa.2013.04.009