English

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

Analysis of PDEs 2023-05-11 v2

Abstract

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 Γ\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.

Keywords

Cite

@article{arxiv.2301.07012,
  title  = {Homogenization and Phase Separation with Fixed Wells -- The Supercritical Case},
  author = {Riccardo Cristoferi and Irene Fonseca and Likhit Ganedi},
  journal= {arXiv preprint arXiv:2301.07012},
  year   = {2023}
}
R2 v1 2026-06-28T08:13:38.206Z