{ "id": "2301.07012", "version": "v1", "published": "2023-01-17T17:01:31.000Z", "updated": "2023-01-17T17:01:31.000Z", "title": "Homogenization and Phase Separation with Fixed Wells -- The Supercritical Case", "authors": [ "Riccardo Cristoferi", "Irene Fonseca", "Likhit Ganedi" ], "categories": [ "math.AP" ], "abstract": "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.", "revisions": [ { "version": "v1", "updated": "2023-01-17T17:01:31.000Z" } ], "analyses": { "keywords": [ "phase separation", "supercritical case", "fixed wells", "homogenization", "variational model" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable" } } }