Open Access
2019 Analytical solution of a one-dimensional thermistor problem with Robin boundary condition
Volodymyr Hrynkiv, Alice Turchaninova
Involve 12(1): 79-88 (2019). DOI: 10.2140/involve.2019.12.79

Abstract

A one-dimensional nonlinear heat conduction equation of steady-state Joule heating in the presence of an electric field in a metal with temperature-dependent conductivities is considered. A technique developed by Young (1986) is adapted and used to derive an analytical solution for the problem with a Robin boundary condition.

Citation

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Volodymyr Hrynkiv. Alice Turchaninova. "Analytical solution of a one-dimensional thermistor problem with Robin boundary condition." Involve 12 (1) 79 - 88, 2019. https://doi.org/10.2140/involve.2019.12.79

Information

Received: 26 April 2017; Revised: 5 October 2017; Accepted: 14 February 2018; Published: 2019
First available in Project Euclid: 26 October 2018

zbMATH: 1391.35138
MathSciNet: MR3810479
Digital Object Identifier: 10.2140/involve.2019.12.79

Subjects:
Primary: 35J60

Keywords: analytical solution , Joule heating , Robin boundary condition , thermistor problem

Rights: Copyright © 2019 Mathematical Sciences Publishers

Vol.12 • No. 1 • 2019
MSP
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