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The stationary thermistor problem with a current limiting device

Published online by Cambridge University Press:  14 November 2011

Giovanni Cimatti
Giovanni Cimatti
Affiliation:
Department of Mathematics, University of Pisa, Via Buonarroti 2, 1-56100 Pisa, Italy
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Synopsis

The electrical heating of a conductor connected with a current limiting device of total resistance R is studied under mixed boundary conditions. A theorem of existence is given using a transformation which permits the reduction of the nonlinear system governing the problem to the classical mixed boundary value problem for the Laplace equation.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 116 , Issue 1-2 , 1990 , pp. 79 - 84
Copyright
Copyright © Royal Society of Edinburgh 1990

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References

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