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Corpus ID: 235265675

A nonlocal formulation for the problem of microwave heating of material with temperature dependent conductivity

@inproceedings{Cimatti2021ANF,
title={A nonlocal formulation for the problem of microwave heating of material with temperature dependent conductivity},
author={Giovanni Cimatti},
year={2021}
}

Abstract. Microwave electromagnetic heating are widely used in many industrial processes. The mathematics involved is based on the Maxwell’s equations coupled with the heat equation. The thermal conductivity is strongly dependent on the temperature, itself an unknown of the system of P.D.E. We propose here a model which simplifies this coupling using a nonlocal term as the source of heating. We prove that the corresponding mathematical initial-boundary value problem has solutions using the… Expand

The time-dependent microwave heating of a semi-infinite material, which is governed by a coupled system of Maxwell's equations and the forced heat equation, is considered. The dielectric properties… Expand

The dynamic Maxwell equations with a conductivity term are considered. Conditions for the exponential and strong stability of an initial-boundary value problem are given. The permeability and the… Expand