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

Authors:
C. Giorgi and G. Gentili

Journal:
Quart. Appl. Math. **51** (1993), 343-362

MSC:
Primary 80A20

DOI:
https://doi.org/10.1090/qam/1218373

MathSciNet review:
MR1218373

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Abstract | References | Similar Articles | Additional Information

Abstract: Within the linearized theory of heat conduction with fading memory, some restrictions on the constitutive equations are found as a direct consequence of thermodynamic 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 is positive or vanishes, are considered.

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DOI:
https://doi.org/10.1090/qam/1218373

Article copyright:
© Copyright 1993
American Mathematical Society