Quarterly of Applied Mathematics

Quarterly of Applied Mathematics

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



The mathematics of the Thomson effect

Author: Giovanni Cimatti
Journal: Quart. Appl. Math. 67 (2009), 617-626
MSC (2000): Primary 35J60, 35K50, 80A22
DOI: https://doi.org/10.1090/S0033-569X-09-01140-6
Published electronically: July 29, 2009
MathSciNet review: 2588227
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Abstract: The paper deals with the elliptic system of the thermistor problem in 3 dimensions taking into account the Thomson effect. Existence and uniqueness results are presented. The proofs are based on a reduction to a two-point problem for an ordinary differential equation.

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Additional Information

Giovanni Cimatti
Affiliation: Dipartimento di Matematica, Largo Bruno Pontecorvo 5, Pisa, Italy
Email: cimatti@dm.unipi.it

DOI: https://doi.org/10.1090/S0033-569X-09-01140-6
Keywords: Thermistor problem, Thomson effect, existence and uniqueness results, multiple solutions
Received by editor(s): April 3, 2008
Published electronically: July 29, 2009
Article copyright: © Copyright 2009 Brown University
The copyright for this article reverts to public domain 28 years after publication.

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