Selection, Stability and Renormalization

Preprint

5 October 1993

preprint
Published by arXiv in arXiv

https://doi.org/10.48550/arXiv.cond-mat/9310008

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.

Keywords

SINGULAR PERTURBATIONS
RENORMALIZATION GROUP
PERTURBATION METHODS
AMPLITUDE EQUATIONS
PROPAGATION SPEED
STABILITY
EQUATIONS

All Related Versions

Version 1, 1993-10-05, ArXiv
Published version: Physica A: Statistical Mechanics and its Applications, 204 (1-4), 111.

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