オガワ　トシユキ   OGAWA Toshiyuki   小川　知之    所属   明治大学  総合数理学部    職種   専任教授
言語種別	日本語
発行・発表の年月	2006/06
形態種別	学術雑誌
査読	査読あり
標題	Bifurcation analysis to Rayleigh-b?nard convection in finite box with up-down symmetry
執筆形態	単著
掲載誌名	Communications on Pure and Applied Analysis
掲載区分	国外
巻・号・頁	5,383-393頁
著者・共著者	Toshiyuki Ogawa
概要	Rayleigh-Benard convection in a small rectangular domain is studied by the standard bifurcation analysis. The dynamics on the center manifold is calculated up to 3rd order. By this normal form, it is possible to determine the local bifurcation structures in principle. One can easily imagine that mixed mode solutions such as hexagonal, patchwork-quilt patterns are unstable from the knowledge of amplitude equation:Ginzburg-Landau equation. However they are not necessarily similar to each other in a small rectangular domain. Several non-trivial stable mixed mode patterns are introduced.
DOI	10.3934/cpaa.2006.5.383
ISSN	15340392
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