Curved fronts of combustion reaction-diffusion equations
Analysis of PDEs
2026-03-23 v1
Abstract
This paper is concerned with curved fronts of combustion reaction-diffusion equations in . By mixing finite planar fronts and constructing suitable super- and subsolutions, we prove the existence, uniqueness and stability of polytope-like curved fronts in . Besides, we show that these curved fronts are transition fronts.
Cite
@article{arxiv.2603.19767,
title = {Curved fronts of combustion reaction-diffusion equations},
author = {Wei-Jie Sheng and Xin-Tian Zhang},
journal= {arXiv preprint arXiv:2603.19767},
year = {2026}
}