Patterns with prescribed numbers of critical points on topological tori

Putri Zahra Kamalia, Shigeru Sakaguchi

Research output: Contribution to journalArticlepeer-review

Abstract

We study the existence of critical points of stable stationary solutions to reaction–diffusion problems on topological tori. Stable nonconstant stationary solutions are often called patterns. We construct topological tori and patterns with prescribed numbers of critical points whose locations are explicit.

Original languageEnglish
JournalComplex Variables and Elliptic Equations
DOIs
Publication statusAccepted/In press - 2021

Keywords

  • 35B20
  • 35J61
  • 35K15
  • 35K20
  • 35K58
  • 35P15
  • 58J05
  • critical point
  • pattern
  • Primary: 35B35
  • reaction–diffusion equation
  • Secondary: 35K57
  • semilinear elliptic equation
  • Stable solution
  • standard torus

ASJC Scopus subject areas

  • Analysis
  • Numerical Analysis
  • Computational Mathematics
  • Applied Mathematics

Fingerprint

Dive into the research topics of 'Patterns with prescribed numbers of critical points on topological tori'. Together they form a unique fingerprint.

Cite this