A Liapunov function for the initial-boundary value problem modeling the microwave heating and its consequences on the formation of hot-spots
Abstract
We prove that if the electricconductivity σ is grater than the adsorpbidity q and the condition of perfect insulation holds on the boundary of the specimen heated, the functional
is a Liapunov function for the initial boundary value problem modelling the microwave heating. If σ and q are constants the formation of hotspots is impossible.
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