On the homogenization of a two-conductivity problem with flux jump (Q2627213)

The target of the paper is to capture at a macroscopic scale the effect of microscopic jumps in heat fluxes through imperfect interfaces within a high-constrast media made of an array of periodically arranged microstructures. The main tool used here is the periodic unfolding method. The authors identify the upscaled reaction-diffusison model as well as the oscillating structure of the correctors.