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
modified on 06 Apr 2025

[BibTeX]

Accepted Paper

Inserted: 10 may 2023
Last Updated: 6 apr 2025

Journal: SIAM J. Math. Anal.
Year: 2025

ArXiv: 2301.07012 PDF

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 $\Gamma-$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.


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