461 citations · 1.2k across the 8 of their papers we have counts for
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Renormalization Group Theory for Global Asymptotic Analysis
Lin-Yuan Chen, Nigel Goldenfeld, Y. Oono
We show with several examples that renormalization group (RG) theory can be used to understand singular and reductive perturbation methods in a unified fashion. Amplitude equations…
Renormalization Group Theory And Variational Calculations For Propagating Fronts
Lin-Yuan Chen, Nigel Goldenfeld, Y. Oono
We study the propagation of uniformly translating fronts into a linearly unstable state, both analytically and numerically. We introduce a perturbative renormalization group (RG) a…
Selection, Stability and Renormalization
Lin-Yuan Chen, Nigel Goldenfeld, Y. Oono +1
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 renormalizati…
Structural Stability and Renormalization Group for Propagating Fronts
G. C. Paquette, Lin-Yuan Chen, Nigel Goldenfeld +1
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 th…
Possibilities and Limitations of Gaussian Closure Approximations for Phase Ordering Dynamics
C. Yeung, Y. Oono, A. Shinozaki
The nonlinear equations describing phase ordering dynamics can be closed by assuming the existence of an underlying Gaussian stochastic field which is nonlinearly related to the ob…