English

Global existence for reaction-diffusion systems on multiple domains

Analysis of PDEs 2022-06-22 v1

Abstract

We study the global existence of solutions reaction-diffusion systems with control of mass on multiple domains. Some of these domains overlap, and as a result, an unknown defined on one subdomain can impact another unknown defined on a different domain that intersects with the first. Our results extend those in \cite{fmty}.

Keywords

Cite

@article{arxiv.2206.09794,
  title  = {Global existence for reaction-diffusion systems on multiple domains},
  author = {William E. Fitzgibbon and Jeff Morgan and Joh Maurice-Car Ryan},
  journal= {arXiv preprint arXiv:2206.09794},
  year   = {2022}
}

Comments

18 pages, 2 figures

R2 v1 2026-06-24T11:57:19.574Z