A geometrical formulation of the renormalization group method for global analysis II: Partial differential equations

被引：0

作者：

Kunihiro T. ^{[1
]}

机构：

[1] Faculty of Science and Technology, Ryukoku University, Seta, Ohtsu-city

来源：

Japan Journal of Industrial and Applied Mathematics | 1997年 / 14卷 / 1期

关键词：

Asymptotic analysis; Dynamical reduction; Envelopes; Renormalization group equations;

D O I：

10.1007/BF03167310

中图分类号：

学科分类号：

摘要：

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.

引用

页码：51 / 69

页数：18

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