Some new bistable transition fronts with changing shape
Analysis of PDEs
2024-04-16 v1
Abstract
We construct entire solutions of bistable reaction-diffusion equations by mixing finite planar fronts, which form a finite-dimensional manifold. These entire solutions are generalized traveling fronts, that is, transition fronts. We also show their uniqueness and stability. Furthermore, we prove that transition fronts with level sets having finite facets are determined by finite planar fronts and they are in the class of entire solutions constructed by us.
Keywords
Cite
@article{arxiv.2404.09237,
title = {Some new bistable transition fronts with changing shape},
author = {Hongjun Guo and Kelei Wang},
journal= {arXiv preprint arXiv:2404.09237},
year = {2024}
}