Analytic regimes with peaking in the thermistor problem

DOI10.1007/BF02673024zbMath1042.35579OpenAlexW2061231340MaRDI QIDQ1847306

M. Shipo, Stanislav N. Antontsev

Publication date: 6 January 2004

Published in: Siberian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02673024

Mathematics Subject Classification ID

Nonlinear initial, boundary and initial-boundary value problems for linear parabolic equations (35K60) Continuation and prolongation of solutions to PDEs (35B60)

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Cites Work

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• Existence of weak solutions for the nonstationary problem of the Joule heating of a conductor
• Elliptic partial differential equations of second order
• Stationary solutions to the thermistor problem
• Remark on existence and uniqueness for the thermistor problem under mixed boundary conditions
• A Bound for the Temperature in the Thermistor Problem
• The Thermistor Problem: Existence, Smoothness Uniqueness, Blowup
• Thermal runaway in a non-local problem modelling Ohmic heating. Part II: General proof of blow-up and asymptotics of runaway
• Thermal runaway in a non-local problem modelling Ohmic heating: Part I: Model derivation and some special cases

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