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Selection, Stability and Renormalization

Lin-Yuan Chen·Nigel Goldenfeld·Y. Oono·Glenn Paquette
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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.

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Lin-Yuan Chen, Nigel Goldenfeld, Y. Oono, Glenn Paquette. 1993-10-05. Selection, Stability and Renormalization. https://doi.org/10.1016/0378-4371(94)90421-9

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