A Liapunov function for the initial-boundary value problem modeling the microwave heating and its consequences on the formation of hot-spots

  • G. Cimatti University of Pisa, Italy

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

Schermata_2023-07-22_alle_09.50_.53_.png

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.

Published
2023-07-21
Section
Articoli