Quarterly of Applied Mathematics

Quarterly of Applied Mathematics

Online ISSN 1552-4485; Print ISSN 0033-569X



On two problems of electrical heating of conductors

Author: Giovanni Cimatti
Journal: Quart. Appl. Math. 49 (1991), 729-740
MSC: Primary 78A25; Secondary 35Q60, 80A20
DOI: https://doi.org/10.1090/qam/1134748
MathSciNet review: MR1134748
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Abstract: The thermal effects of the currents induced in a massive conductor by an external slowly varying magnetic field are studied with regard to existence and uniqueness of solutions. In the first part a theorem of existence of solution is also given for the thermistor problem with a current limiting device.

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DOI: https://doi.org/10.1090/qam/1134748
Article copyright: © Copyright 1991 American Mathematical Society

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