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.

References [Enhancements On Off] (What's this?)

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  • [2] G. Cimatti and G. Prodi, Existence results for a nonlinear elliptic system modelling a temperature dependent electrical resistor, Ann. Mat. Pura Appl. 62, 227-236 (1988) MR 980982
  • [3] A. C. Fowler, S. D. Howison, and E. J. Hinch, Temperature surges in current-limiting circuit devices, to appear
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  • [6] J. L. Lions, Equations Différentielles Operationelles et Problémes aux Limites, Springer-Verlag, Berlin, 1961 MR 0153974
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DOI: https://doi.org/10.1090/qam/1134748
Article copyright: © Copyright 1991 American Mathematical Society

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