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Analytical
solution of a one-dimensional thermistor problem with Robin
boundary condition
Volodymyr Hrynkiv and Alice Turchaninova
Vol. 12 (2019), No. 1, 79–88
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Abstract |
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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. |
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Keywords
thermistor problem, Robin boundary condition, Joule
heating, analytical solution
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Mathematical Subject Classification 2010
Primary: 35J60
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Milestones
Received: 26 April 2017
Revised: 5 October 2017
Accepted: 14 February 2018
Published: 31 May 2018
Communicated by Suzanne Lenhart
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Authors |
| Volodymyr Hrynkiv | |
| Department of Mathematics and
Statistics University of Houston - Downtown Houston, TX United States |
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| Alice Turchaninova | |
| University of Houston -
Downtown Houston, TX United States |
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