A construction of patterns with many critical points on topological tori

Putri Zahra Kamalia, Shigeru Sakaguchi

Research output: Contribution to journalArticlepeer-review

Abstract

We consider reaction–diffusion equations on closed surfaces in R3 having genus 1. Stable nonconstant stationary solutions are often called patterns. The purpose of this paper is to construct closed surfaces together with patterns having as many critical points as one wants.

Original languageEnglish
Article number39
JournalNonlinear Differential Equations and Applications
Volume27
Issue number4
DOIs
Publication statusPublished - 2020 Aug 1

Keywords

  • Closed surface having genus 1
  • Critical point
  • Pattern
  • Reaction–diffusion equation
  • Semilinear elliptic equation
  • Stable solution
  • Torus

ASJC Scopus subject areas

  • Analysis
  • Applied Mathematics

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