Selection, Stability and Renormalization
arXiv:cond-mat/9310008 · doi:10.1016/0378-4371(94)90421-9
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.
38 pages, LaTeX, two PostScript figures available by anonymous ftp to gijoe.mrl.uiuc.edu (128.174.119.153) files /pub/front_kkfest_fig*
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- Anomalous Dimension in the Solution of the Barenblatt's Equation