Phase separation patterns from directional quenching
Pattern Formation and Solitons
2017-03-08 v1 Dynamical Systems
Abstract
We study the effect of directional quenching on patterns formed in simple bistable systems such as the Allen-Cahn and the Cahn-Hilliard equation on the plane. We model directional quenching as an externally triggered change in system parameters, changing the system from monostable to bistable across an interface. We are then interested in patterns forming in the bistable region, in particular as the trigger progresses and increases the bistable region. We find existence and non-existence results of single interfaces and striped patterns.
Cite
@article{arxiv.1609.05760,
title = {Phase separation patterns from directional quenching},
author = {Rafael Monteiro and Arnd Scheel},
journal= {arXiv preprint arXiv:1609.05760},
year = {2017}
}
Comments
31 pages