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Global solutions of Maxwell's equations in an electromagnetic field with a temperature-dependent electrical conductivity

Published online by Cambridge University Press:  26 September 2008

Hong-Ming Yin
Hong-Ming Yin
Affiliation:
Department of Mathematics, University of Toronto, Toronto, Ontario M5S 1AI, Canada
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Abstract

This paper deals with Maxwell's equations in a quasi-stationary electromagnetic field subject to the effects of temperature. This model is encountered in the penetration of a magnetic field in substances where the electrical conductivity depends on the temperature. Similar phenomena also occur in some industrial problems such as the thermistor. Taking the effect of Joule heating into the consideration, we obtain a strongly coupled nonlinear system. Global solvability is established for this system.

Type
Research Article
Information
European Journal of Applied Mathematics , Volume 5 , Issue 1 , March 1994 , pp. 57 - 64
Copyright
Copyright © Cambridge University Press 1994

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References

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