Selection, Stability and Renormalization

Details Selection, Stability and Renormalization Selection, Stability and Renormalization

1993-10-05

arxiv.org/abs/cond-mat/9310008v1

Physics

Condensed Matter

38 pages, LaTeX, two PostScript figures available by anonymous ftp to gijoe.mrl.uiuc.edu (128.174.119.153) files /pub/front_kk

Scientific paper

10.1016/0378-4371(94)90421-9

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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