Renormalizing Partial Differential Equations
chao-dyn
2009-10-22 v1 Chaotic Dynamics
Abstract
In this review paper, we explain how to apply Renormalization Group ideas to the analysis of the long-time asymptotics of solutions of partial differential equations. We illustrate the method on several examples of nonlinear parabolic equations. We discuss many applications, including the stability of profiles and fronts in the Ginzburg-Landau equation, anomalous scaling laws in reaction-diffusion equations, and the shape of a solution near a blow-up point.
Cite
@article{arxiv.chao-dyn/9411015,
title = {Renormalizing Partial Differential Equations},
author = {J. Bricmont and A. Kupiainen},
journal= {arXiv preprint arXiv:chao-dyn/9411015},
year = {2009}
}
Comments
34 pages, Latex; [email protected]; [email protected]