Hyperbolic Limit of Parabolic Semilinear Heat Equations with Fading Memory
Hyperbolic Limit of Parabolic Semilinear Heat Equations with Fading Memory
This paper is devoted to the comparison of two models describing heat conduction with memory, arising in the frameworks of Coleman-Gurtin and Gurtin-Pipkin. In particular, the second model entails an equation of hyperbolic type, where the dissipation is carried out by the memory term solely, and can be viewed as …