Selection, stability and renormalization

Lin Yuan Chen, Nigel Goldenfeld, Y. Oono, Glenn Paquette

Research output: Contribution to journalArticlepeer-review

Abstract

We illustrate how to extend the concept of structural stability through applying it to the front propagation speed selection problem. This consideration leads us to a renormalization group study of the problem. The study illustrates two very general conclusions: (1) singular perturbations in applied mathematics are best understood as renormalized perturbation methods, and (2) amplitude equations are renormalization group equations.

Original languageEnglish (US)
Pages (from-to)111-133
Number of pages23
JournalPhysica A: Statistical Mechanics and its Applications
Volume204
Issue number1-4
DOIs
StatePublished - Mar 1 1994

ASJC Scopus subject areas

  • Statistics and Probability
  • Condensed Matter Physics

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