Point condensation generated by a reaction-diffusion system in axially symmetric domains

Wei Ming Ni, Izumi Takagi

Research output: Contribution to journalArticlepeer-review

76 Citations (Scopus)

Abstract

In this paper we consider the stationary problem for a reaction-diffusion system of activator-inhibitor type, which models biological pattern formation, in an axially symmetric domain. It is shown that the system has multi-peak stationary solutions such that the activator is localized around some boundary points if the activator diffuses very slowly and the inhibitor diffuses rapidly enough.

Original languageEnglish
Pages (from-to)327-365
Number of pages39
JournalJapan Journal of Industrial and Applied Mathematics
Volume12
Issue number2
DOIs
Publication statusPublished - 1995 Jun 1

Keywords

  • point-condensation phenomenon
  • reaction-diffusion system
  • semilinear Neumann problem
  • singular perturbation

ASJC Scopus subject areas

  • Engineering(all)
  • Applied Mathematics

Fingerprint Dive into the research topics of 'Point condensation generated by a reaction-diffusion system in axially symmetric domains'. Together they form a unique fingerprint.

Cite this