English

Persistence of pulses for certain reaction-diffusion equations in dimensions two and three

Analysis of PDEs 2024-12-24 v1

Abstract

We address the persistence under a perturbation of stationary pulse solutions of some reaction-diffusion type equations in dimensions d=2,3 and evaluate the asymptotic approximations of such pulses to the leading order in the parameter of the perturbation.

Keywords

Cite

@article{arxiv.2412.16831,
  title  = {Persistence of pulses for certain reaction-diffusion equations in dimensions two and three},
  author = {Vitali Vougalter},
  journal= {arXiv preprint arXiv:2412.16831},
  year   = {2024}
}