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
Full-text PDF

Abstract | References | Similar Articles | Additional Information

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.


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


Similar Articles

Retrieve articles in Quarterly of Applied Mathematics with MSC (2000): 35J60, 35K50, 80A22

Retrieve articles in all journals with MSC (2000): 35J60, 35K50, 80A22


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.

American Mathematical Society