Minimizers for a fractional Allen-Cahn equation in a periodic medium

2017/09/25 by Dayana Pagliardini, Pagliardini, Dayana
Computer Science · Materials Science · Mathematics · #Advanced Mathematical Modeling in Engineering #Analysis of PDEs (math.AP) #FOS: Mathematics #Geometric and Algebraic Topology #Quasicrystal Structures and Properties

paper · pdf · doi:10.48550/arxiv.1710.02205

openalex publication_date 2017/09/25 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We aim to study the solutions of a fractional mesoscopic model of phase transitions in a periodic medium. After investigating the geometric properties of the interface of the associated minimal solutions, we construct minimal interfaces lying to a strip of prescribed direction and universal width.

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