On two problems of electrical heating of conductors

Author:

Cimatti Giovanni

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.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics

Reference7 articles.

1. The stationary thermistor problem with a current limiting device;Cimatti, Giovanni;Proc. Roy. Soc. Edinburgh Sect. A,1990

2. Existence results for a nonlinear elliptic system modelling a temperature dependent electrical resistor;Cimatti, Giovanni;Ann. Mat. Pura Appl. (4),1988

3. A. C. Fowler, S. D. Howison, and E. J. Hinch, Temperature surges in current-limiting circuit devices, to appear

4. H. A. Haus and J. R. Melcher, Electromagnetic Fields and Energy, Prentice-Hall, Englewood Cliffs, NJ, 1989

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