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Selection, stability and renormalization

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  • Chen, Lin-Yuan
  • Goldenfeld, Nigel
  • Oono, Y.
  • Paquette, Glenn

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.

Suggested Citation

  • Chen, Lin-Yuan & Goldenfeld, Nigel & Oono, Y. & Paquette, Glenn, 1994. "Selection, stability and renormalization," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 204(1), pages 111-133.
    • Handle: RePEc:eee:phsmap:v:204:y:1994:i:1:p:111-133
    DOI: 10.1016/0378-4371(94)90421-9
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    Cited by:

    1. Bach, Wilfrid & Fiebig, Stefan, 1998. "China's key role in climate protection," Energy, Elsevier, vol. 23(4), pages 253-270.

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