How to Homogenize a Nonlinear Diffusion Equation: Stefan’s Problem
Alain Damlamian · SIAM Journal on Mathematical Analysis · 1981
We study the homogenization of a Stefan problem (i.e., heat conduction with change of phase) when the structure is $\varepsilon $-periodic, and we prove that the constitutive laws of the limit medium do not depend upon the boundary conditions and are those of an anisotropically heat conducting medium which undergoes a change of phase at each temperature of change of phase of the original substances.