Patterns with prescribed numbers of critical points on topological tori
Analysis of PDEs
2020-09-29 v1
Abstract
We study the existence of critical points of stable stationary solutions to reaction-diffusion problems on topological tori. Stable nonconstant stationary solutions are often called patterns. We construct topological tori and patterns with prescribed numbers of critical points whose locations are explicit.
Cite
@article{arxiv.2009.13035,
title = {Patterns with prescribed numbers of critical points on topological tori},
author = {Putri Zahra Kamalia and Shigeru Sakaguchi},
journal= {arXiv preprint arXiv:2009.13035},
year = {2020}
}
Comments
16 pages, 2 figures