On an enthalpy formulation for a sharp-interface memory ux Stefan problem

ROSCANI, SABRINA D.

A Coruña

Seminario; Seminario Fontán de Matemáticas,; 2023

The Stefan problem is the classical model of a melting phase change. In heterogeneous systems, such phase changes can exhibit non-Fourier (anomalous) behaviors, where the advance of the melt interface does not follow the expected time scaling. These situations can be modeled with fractional derivatives. We will present two equivalent fractional Stefan problems carrying memory effects, that are represented through the use of fractional derivatives applied to the enthalpy or the heat flux.