Calculus of Variations and Geometric Measure Theory

R. Cristoferi - I. Fonseca - L. Ganedi

Homogenization and Phase Separation with Fixed Wells - The Supercritical Case

created by cristoferi on 10 May 2023


Submitted Paper

Inserted: 10 may 2023
Last Updated: 10 may 2023

Year: 2023

ArXiv: 2301.07012 PDF


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