Truncation of contact defects in reaction-diffusion systems
Dynamical Systems
2023-03-21 v2 Analysis of PDEs
Abstract
Contact defects are time-periodic patterns in one space dimension that resemble spatially homogeneous oscillations with an embedded defect in their core region. For theoretical and numerical purposes, it is important to understand whether these defects persist when the domain is truncated to large spatial intervals, supplemented by appropriate boundary conditions. The present work shows that truncated contact defects exist and are unique on sufficiently large spatial intervals.
Cite
@article{arxiv.2301.04071,
title = {Truncation of contact defects in reaction-diffusion systems},
author = {Milen Ivanov and Bjorn Sandstede},
journal= {arXiv preprint arXiv:2301.04071},
year = {2023}
}