Existence, Uniqueness and Classification of Plane Waves
Analysis of PDEs
2026-01-08 v1 Dynamical Systems
Abstract
Existence, uniqueness and classification is established for plane waves supported by an irreversible reaction which is a smooth function of local reactant and product concentrations (or prey and predator populations). Rudimentary analytic techniques are used to guarantee a unique plane wave at every wavespeed above some threshold. The result readily extends to cutoff reactions, which are zero below some threshold product concentration. These results are not novel, but the method of proof is.
Cite
@article{arxiv.2601.03575,
title = {Existence, Uniqueness and Classification of Plane Waves},
author = {Robert Milton},
journal= {arXiv preprint arXiv:2601.03575},
year = {2026}
}
Comments
17 pages, 5 figures