Global Solution to a Penrose-Fife Model with Special Heat Flux Law and Memory Effects

TL;DRAbstract

This paper deals with a phase-field model of Penrose-Fife type in which the heat flux law takes account of memory effects in the material where the phase transition occurs. Under a quite general setting, which includes a wide and meaningful class of heat fluxes, we prove an existence result for a related initial-boundary value problem. Strengthening the assumptions on the memory term, we also get the uniqueness of the solution and an improved regularity theorem, generalizing a recent result by Colli, Laurencot, and Sprekels.

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