Selection, stability and renormalization

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

Physica A: Statistical Mechanics and its Applications, 1994, vol. 204, issue 1, 111-133

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.

Date: 1994
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:204:y:1994:i:1:p:111-133

DOI: 10.1016/0378-4371(94)90421-9

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