Within the linearized theory of heat conduction with fading memory, some restrictions on the constitutive equations are found as a direct consequence of thermodynamical principles. Such restrictions allow us to obtain existence, uniqueness and stability results for the solution to the heat flux equation. Both problems, which respectively occur when the instantaneous conductivity ko is positive or vanishes, are considered.

Thermodynamic properties and stability for the heat flux equation with linear memory

GIORGI, Claudio
1993-01-01

Abstract

Within the linearized theory of heat conduction with fading memory, some restrictions on the constitutive equations are found as a direct consequence of thermodynamical principles. Such restrictions allow us to obtain existence, uniqueness and stability results for the solution to the heat flux equation. Both problems, which respectively occur when the instantaneous conductivity ko is positive or vanishes, are considered.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11379/7056
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