翻訳と辞書 Words near each other ・ Orbital process of palatine bone ・ Orbital process of the zygomatic bone ・ Orbital prosthesis ・ Orbital Railway Line ・ Orbital replacement unit ・ Orbital resonance ・ Orbital Resonance (novel) ・ Orbital ring ・ Orbital Sciences Corporation ・ Orbital Sciences X-34 ・ Orbital septum ・ Orbital Space Plane Program ・ Orbital spaceflight ・ Orbital speed ・ Orbital Stability ・ Orbital stability ・ Orbital state vectors ・ Orbital station-keeping ・ Orbital stretch wrapping ・ Orbital sulcus ・ Orbital surface ・ Orbital Technologies Commercial Space Station ・ Orbital Test Satellite ・ Orbital tuning ・ Orbital velocity ・ Orbital welding ・ Orbital x-ray ・ Orbital-free density functional theory ・ Orbitalis muscle ・ Orbitals (album) Dictionary Lists mini英和辞書 mini和英辞書 Webster 1913 Latin-English FOLDOC Wikipedia English ウィキペディア

翻訳と辞書　辞書検索 [ 開発暫定版 ] スポンサード リンク Orbital stability ： ウィキペディア英語版 Orbital stability In mathematical physics or theory of partial differential equations, the solitary wave solution of the form $u(x,t)=e^\backslash phi(x)\backslash ,$ is said to be orbitally stable if any solution with the initial data sufficiently close to $\backslash phi(x)\backslash ,$ forever remains in a given small neighborhood of the trajectory of $e^\backslash phi(x)\backslash ,$. ==Formal definition== Formal definition is as follows. Let us consider the dynamical system :$$ i\frac=A(u), \qquad u(t)\in X, \quad t\in\R, with $X\backslash ,$ a Banach space over $\backslash C\backslash ,$, and $A\backslash ,:X\backslash to\; X$. We assume that the system is $\backslash mathrm(1)\backslash ,$-invariant, so that $A(e^u)=e^A(u)\backslash ,$ for any $u\backslash in\; X\backslash ,$ and any $s\backslash in\backslash R\backslash ,$. Assume that $\backslash omega\; \backslash phi=A(\backslash phi)\backslash ,$, so that $u(t)=e^\backslash phi\backslash ,$ is a solution to the dynamical system. We call such solution a solitary wave. We say that the solitary wave $e^\backslash phi\backslash ,$ is orbitally stable if for any $\backslash epsilon>0\backslash ,$ there is $\backslash delta>0\backslash ,$ such that for any $v\_0\backslash in\; X$ with there is a solution $v(t)\backslash ,$ defined for all $t\backslash ge\; 0$ such that $v(0)=v\_0\backslash ,$, and such that this solution satisfies :$$ \sup_\inf_\Vert v(t)-e^\phi\Vert_X<\epsilon. 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「Orbital stability」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.