Horizontal patterns from finite speed directional quenching
Analysis of PDEs
2019-07-05 v1
Abstract
In this paper we study the process of phase separation from directional quenching, considered as an externally triggered variation in parameters that changes the system from monostable to bistable across an interface; in the case presented here the interface moves with speed in such a way that the bistable region grows, which is the most physically relevant scenario. According to previous results in the literature (Phase separation patterns from directional quenching, Journal of Nonlinear Science, 2017, by Monteiro, R. and Scheel, A.), several patterns exist when , and here we investigate their persistence for finite , clarifying the pattern selection mechanism related to the speed of the quenching front.
Keywords
Cite
@article{arxiv.1707.09010,
title = {Horizontal patterns from finite speed directional quenching},
author = {Rafael Monteiro},
journal= {arXiv preprint arXiv:1707.09010},
year = {2019}
}