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翻訳と辞書　辞書検索 [ 開発暫定版 ] スポンサード リンク Swift–Hohenberg equation ： ウィキペディア英語版 Swift–Hohenberg equation The Swift–Hohenberg equation (named after Jack B. Swift and Pierre Hohenberg) is a partial differential equation noted for its pattern-forming behaviour. It takes the form :$$ \frac = r u - (1+\nabla^2)^2u + N(u) where ''u'' = ''u''(''x'', ''t'') or ''u'' = ''u''(''x'', ''y'', ''t'') is a scalar function defined on the line or the plane, ''r'' is a real bifurcation parameter, and ''N''(''u'') is some smooth nonlinearity. The equation is named after the authors of the paper, where it was derived from the equations for thermal convection. The webpage of Michael Cross〔(Java applet demonstrations )〕 contains some numerical integrators which demonstrate the behaviour of several Swift–Hohenberg-like systems. == Applications == 抄文引用元・出典: フリー百科事典『 ウィキペディア（Wikipedia）』 ■ウィキペディアで「Swift–Hohenberg equation」の詳細全文を読む スポンサード リンク 翻訳と辞書 : 翻訳のためのインターネットリソース Copyright(C) kotoba.ne.jp 1997-2016. All Rights Reserved.