dorsal/arxiv
View SchemaA Geometrical Formulation of the Renormalization Group Method for Global Analysis II: Partial Differential Equations
| Authors | Teiji Kunihiro |
|---|---|
| Categories | |
| ArXiv ID | patt-sol/9508001 |
| URL | https://arxiv.org/abs/patt-sol/9508001 |
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.
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"abstract": "It is shown that the renormalization group (RG) method for global analysis\ncan be formulated in the context of the classical theory of envelopes: Several\nexamples from partial differential equations are analyzed. The amplitude\nequations which are usually derived by the reductive perturbation theory are\nshown to be naturally derived as the equations describing the envelopes of the\nlocal solutions obtained in the perturbation theory.",
"arxiv_id": "patt-sol/9508001",
"authors": [
"Teiji Kunihiro"
],
"categories": [
"patt-sol",
"chao-dyn",
"cond-mat",
"funct-an",
"math.FA",
"nlin.CD",
"nlin.PS"
],
"title": "A Geometrical Formulation of the Renormalization Group Method for Global Analysis II: Partial Differential Equations",
"url": "https://arxiv.org/abs/patt-sol/9508001"
},
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