Selection, stability and renormalization
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.
| Year of publication: |
1994
|
|---|---|
| Authors: | Chen, Lin-Yuan ; Goldenfeld, Nigel ; Oono, Y. ; Paquette, Glenn |
| Published in: |
Physica A: Statistical Mechanics and its Applications. - Elsevier, ISSN 0378-4371. - Vol. 204.1994, 1, p. 111-133
|
| Publisher: |
Elsevier |
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