Article
The thermistor problem with degenerate thermal conductivity and metallic conduction
Author/s | González Montesinos, María Teresa
Ortegón Gallego, Francisco |
Department | Universidad de Sevilla. Departamento de Matemática Aplicada I (ETSII) |
Publication Date | 2007 |
Deposit Date | 2019-09-13 |
Published in |
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Abstract | The aim of this work is to establish the existence of a capacity solution
to the thermistor problem supposing that the thermal and the electrical
conductivities are not bounded below by a positive constant value. ... The aim of this work is to establish the existence of a capacity solution to the thermistor problem supposing that the thermal and the electrical conductivities are not bounded below by a positive constant value. Furthermore, the thermal conductivity vanishes at points where the temperature is null. These assumptions on data include the case of practical interest of the Wiedemann–Franz law with metallic conduction and lead us to very complex mathematical situations. |
Project ID. | BFM2003-01187
FQM-315 |
Citation | González Montesinos, M.T. y Ortegón Gallego, F. (2007). The thermistor problem with degenerate thermal conductivity and metallic conduction. Discrete and Continuous Dynamical Systems, Suplement 2007, 2007(Special), 446-455. |
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