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

Wei Ming Ni, Izumi Takagi

Research output: Contribution to journalArticlepeer-review

76 Scopus citations

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

Keywords

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

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