Diffusion and cross-diffusion in pattern formation

Wei Ming Ni

Research output: Contribution to journalArticlepeer-review

9 Scopus citations

Abstract

We discuss the stability and instability properties of steady state solutions to single equations, shadow systems, as well as 232 systems. Our basic observation is that the more complicated the pattern are, the more unstable they tend to be.

Original languageEnglish (US)
Pages (from-to)197-214
Number of pages18
JournalAtti della Accademia Nazionale dei Lincei, Classe di Scienze Fisiche, Matematiche e Naturali, Rendiconti Lincei Matematica e Applicazioni
Volume15
Issue number3-4
StatePublished - Dec 1 2004

Keywords

  • Cross-diffusion
  • Diffusion
  • Shadow systems
  • Stability
  • Steady states

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