Regular and singular kernel problems in rigid heat conduction with memory

04 Pubblicazione in atti di convegno
Carillo Sandra

Heat conduction with memory is considered. Specifically, the model of a rigid heat
conductor is introduced. The quantities of interest are related via the constitutive relations connecting
the energy, the heat flux, the temperature gradient and the heat flux relaxation function.
The expression of the free energy is also given. The evolution equation which describes the
heat conduction phenomenon is a linear integro-differential one. The kernel of such equation is
represented by the heat flux relaxation function. Different cases of regular as well as of singular
kernel problems are considered: the corresponding results are, then, compared.

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