On a supplementary conservation law for the governing equations in a rigid,magnetizable body with thermal and electrical conduction

Summary We consider a rigid heat conductor at rest immersed in an electromagnetic field. The interactions between thermodynamic and electromagnetic fields are decribed, in the frame work of the theory proposed by I. Müller [1]. Some properties related to the model equations proposed are pointed out. Specifically we are able to show as the governing equations may be written in symmetric and conservative form so that the Cauchy problem results well posed.

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Sommario Si considera un corpo rigido in quiete, conduttore di calore, immerso in un campo elettromagnetico esterno. Nell'ambito della teoria termodinamica proposta da I. Müller [1] si mettono in evidenza alcune proprietà del modello proposto che può essere scritto sotto forma simmetrica e conservativa assicurando, così, la buona posizione del problema di Cauchy.

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Research partially supported by C.N.R. through the G.N.F.M.