Heat Conduction with {\it aging} memory
Mathematical Physics
2026-05-13 v1 math.MP
Abstract
The term material with memory is generally used to indicate materials whose mechanical and/or thermodynamical behaviour depends not only on the process at the present time but also on the history of the process itself. Crucial in heat conductors with memory is the heat relaxation function which models the thermal response of the material. The present study is concerned about a thermodynamical problem with memory "aging"; that is, we analyze the temperature evolution within a rigid heat conductor with memory whose relaxation function takes into account the aging of the material. In particular, we account for variations of the relaxation function due to a possible deterioration of the thermal response of the material related to its age.
Keywords
Cite
@article{arxiv.2412.14725,
title = {Heat Conduction with {\it aging} memory},
author = {Sandra Carillo and Claudio Giorgi},
journal= {arXiv preprint arXiv:2412.14725},
year = {2026}
}