Minimizers for a fractional Allen-Cahn equation in a periodic medium
Analysis of PDEs
2017-10-09 v1
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.
Keywords
Cite
@article{arxiv.1710.02205,
title = {Minimizers for a fractional Allen-Cahn equation in a periodic medium},
author = {Dayana Pagliardini},
journal= {arXiv preprint arXiv:1710.02205},
year = {2017}
}