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Existence and regularity of a weak solution to Maxwell's equations with a thermal effect

✍ Scribed by Hong-Ming Yin

Publisher
John Wiley and Sons
Year
2006
Tongue
English
Weight
128 KB
Volume
29
Category
Article
ISSN
0170-4214

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✦ Synopsis

Abstract

This paper deals with Maxwell's equations with a thermal effect, where the electric conductivity strongly depends on the temperature. It is shown that the coupled system has a global weak solution and the temperature is Hölder continuous if the conductivity decays suitably as temperature increases. Moreover, uniqueness of the solution is proved, which gives a positive answer for a open question from the previous research. The main idea for the global existence is based on deriving various energy estimates for the solution of the coupled system. Copyright © 2006 John Wiley & Sons, Ltd.

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