Stability of Single Transition Layer in Mass-Conserving Reaction-Diffusion Systems with Bistable Nonlinearity
Analysis of PDEs
2025-05-23 v4
Abstract
Mass-conserving reaction-diffusion systems with bistable nonlinearity are considered under general assumptions. The existence of stationary solutions with a single internal transition layer in such reaction-diffusion systems is shown using the analytical singular perturbation theory. Moreover, a stability criterion for the stationary solutions is provided by calculating the Evans function.
Cite
@article{arxiv.2410.06404,
title = {Stability of Single Transition Layer in Mass-Conserving Reaction-Diffusion Systems with Bistable Nonlinearity},
author = {Hideo Ikeda and Masataka Kuwamura},
journal= {arXiv preprint arXiv:2410.06404},
year = {2025}
}
Comments
50 pages, 1 figure. arXiv admin note: text overlap with arXiv:2305.00227