November  2007, 8(4): 901-923. doi: 10.3934/dcdsb.2007.8.901

The evolution thermistor problem under the Wiedemann-Franz law with metallic conduction

1. 

Departmento de Matemáticas, Facultad de Ciencias Económicas y Empresariales, Universidad de Cádiz, 11002 Cádiz, Spain

2. 

Departamento de Matemáticas, Universidad de Cádiz, CASEM, Campus del Río San Pedro, 11510 Puerto Real, Cádiz, Spain

Received  April 2006 Revised  July 2007 Published  August 2007

This paper is devoted to the study of the existence of a capacity solution to the thermistor problem assuming that the thermal conductivity vanishes at points where the temperature is null and the electric conductivity is not bounded below by a positive constant value. This is a situation of practical interest including the case of metallic conduction under the Wiedemann-Franz law.
Citation: María Teresa González Montesinos, Francisco Ortegón Gallego. The evolution thermistor problem under the Wiedemann-Franz law with metallic conduction. Discrete & Continuous Dynamical Systems - B, 2007, 8 (4) : 901-923. doi: 10.3934/dcdsb.2007.8.901
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