Work

Homogenization and Phase Separation with Fixed Wells—The Supercritical Case

Year: 2025

Type: article

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 [Formula: see text]-limit is proven to exhibit a separation of scales which has been previously conjectured in [A. Braides and C. I. Zeppieri, Interfaces Free Bound., 11 (2009), pp. 61–118; A. Hagerty, A Note on Homogenization Effects on Phase Transition Problems, arXiv:1811.07357, 2018].

Source: SIAM Journal on Mathematical Analysis

DOI: 10.1137/23m1571861

Authors: Riccardo Cristoferi, Irene Fonseca, Likhit Ganedi

Institutions: Radboud University Nijmegen, Carnegie Mellon University, RWTH Aachen University

Language: English

Topic: Advanced Mathematical Modeling in Engineering

Subfield: Computational Theory and Mathematics

Field: Computer Science

Domain: Physical Sciences

Open Access status: green

Funders: National Science Foundation, Deutsche Forschungsgemeinschaft, Nederlandse Organisatie voor Wetenschappelijk Onderzoek

Awards: GRK 2326: Energie, Entropie und Dissipative Dynamik, MATHEMAMI - Mathematical Analysis of phase Transitions in HEterogeneous MAterials with Materials Inclusions, G6494981220, Variational Methods for Materials and Imaging, Variational Methods for Materials Science and Mathematical Imaging