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.
|Original language||English (US)|
|Number of pages||23|
|Journal||Physica A: Statistical Mechanics and its Applications|
|State||Published - Mar 1 1994|
ASJC Scopus subject areas
- Statistics and Probability
- Condensed Matter Physics