Quarterly of Applied Mathematics

Quarterly of Applied Mathematics

Online ISSN 1552-4485; Print ISSN 0033-569X



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: 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 $ {k_0}$ 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

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