Homogenization and Phase Separation with Fixed Wells -- The Supercritical Case

Riccardo Cristoferi, Irene Fonseca, Likhit Ganedi

Published 2023-01-17Version 1

A variational model for the interaction between homogenization and phase separation is considered in the regime where the former happens at a smaller scale than the latter. The first order $\Gamma-$limit is proven to exhibit a separation of scales which has only been previously conjectured.