Communications on Pure & Applied Analysis · 2002 · 30 citations · 0 references
Natural SciencesElectrical EngineeringPhysicsHeat TransferMathematical PhysicsThermodynamicsDissipative SystemsEquations Of StateHeat ConductionSecond Law Of ThermodynamicsThermal EvolutionHeat Conduction EquationThermal ConductivityThermistors
The existence of a weak solution for the time dependent thermistor problem with degenerate thermal conductivity is proved in this work. The main difficulties of this problem lies on the absence of space estimates for the temperature and time estimates for the electrical potential.