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Structural Stability and Renormalization Group for Propagating Fronts

G. C. Paquette·Lin-Yuan Chen·Nigel Goldenfeld·Y. Oono
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Abstract

A solution to a given equation is structurally stable if it suffers only an infinitesimal change when the equation (not the solution) is perturbed infinitesimally. We have found that structural stability can be used as a velocity selection principle for propagating fronts. We give examples, using numerical and renormalization group methods.

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G. C. Paquette, Lin-Yuan Chen, Nigel Goldenfeld, Y. Oono. 1993-08-31. Structural Stability and Renormalization Group for Propagating Fronts. https://doi.org/10.1103/physrevlett.72.76

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