A Geometrical Formulation of the Renormalization Group Method for Global Analysis II: Partial Differential Equations
patt-sol
2008-02-03 v2 chao-dyn
Condensed Matter
funct-an
Functional Analysis
Chaotic Dynamics
Pattern Formation and Solitons
Abstract
It is shown that the renormalization group (RG) method for global analysis can be formulated in the context of the classical theory of envelopes: Several examples from partial differential equations are analyzed. The amplitude equations which are usually derived by the reductive perturbation theory are shown to be naturally derived as the equations describing the envelopes of the local solutions obtained in the perturbation theory.
Keywords
Cite
@article{arxiv.patt-sol/9508001,
title = {A Geometrical Formulation of the Renormalization Group Method for Global Analysis II: Partial Differential Equations},
author = {Teiji Kunihiro},
journal= {arXiv preprint arXiv:patt-sol/9508001},
year = {2008}
}
Comments
19 pages, LATEX. No figures