Analytical solution of a one-dimensional thermistor problem with Robin boundary condition

DOI10.2140/involve.2019.12.79zbMath1391.35138OpenAlexW2808258842WikidataQ129722762 ScholiaQ129722762MaRDI QIDQ1639613

Alice Turchaninova, Volodymyr Hrynkiv

Publication date: 13 June 2018

Published in: Involve (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2140/involve.2019.12.79

zbMATH Keywords

Joule heatingRobin boundary conditionthermistor problem

Mathematics Subject Classification ID

Nonlinear elliptic equations (35J60)

Related Items (2)

Unnamed Item ⋮ Existence of solution to a nonlocal conformable fractional thermistor problem

Cites Work

• Numerical solutions of the thermistor equations
• Existence of a solution to the Stefan problem with Joule's heating
• Exponential integrability of temperature in the thermistor problem.
• Stationary solutions to the thermistor problem
• Numerical analysis of a nonlocal parabolic problem resulting from thermistor problem
• Temperature Surges in Current-Limiting Circuit Devices
• The Thermistor Problem: Existence, Smoothness Uniqueness, Blowup
• Steady state Joule heating with temperature dependent conductivities
• Local regularity theorems for the stationary thermistor problem

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