Relations between the physical models describing the heat conduction in solids and a phenomenological model leading to quasi-linear hyperbolic equations and systems of conservation laws are presented. A new semi-empirical temperature scale is introduced, in terms of which a modified Fourier law is formulated. The hyperbolicity of the heat conduction equation is discussed together with some wave propagation problems.

A new approach to the theory of heat conduction with finite wave speeds. Proceedings WASCOM 91.

CIMMELLI, Vito Antonio;
1991

Abstract

Relations between the physical models describing the heat conduction in solids and a phenomenological model leading to quasi-linear hyperbolic equations and systems of conservation laws are presented. A new semi-empirical temperature scale is introduced, in terms of which a modified Fourier law is formulated. The hyperbolicity of the heat conduction equation is discussed together with some wave propagation problems.
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/11563/3191
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