descriptionPublicationkeyboard_double_arrow_right Part of book or chapter of book , Article , Preprint , Other literature type 06 Apr 2008Embargo end date: 01 Jan 1994 English Publisher:Springer Berlin HeidelbergFunded by:NSF | Mathematical Sciences: St...

Authors: Jean Bricmont; Antti Kupiainen;

doi: 10.1007/3-540-59190-7_23 , 10.48550/arxiv.chao-dyn/9411015

arXiv: http://arxiv.org/abs/chao-dyn/9411015

Renormalizing partial differential equations

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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.

34 pages, Latex; bricmont@fyma.ucl.ac.be; ajkupiai@cc.helsinki.fi

Related Organizations

University of Helsinki
Finland
University College London
United Kingdom
Rutgers University New Brunswick
United States

Keywords

FOS: Physical sciences, Chaotic Dynamics (nlin.CD), Nonlinear Sciences - Chaotic Dynamics

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