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Dynamics of Partial Differential Equations / by C. Eugene Wayne, Michael I. Weinstein
(Frontiers in Applied Dynamical Systems: Reviews and Tutorials. ISSN:23644931 ; 3)
版 | 1st ed. 2015. |
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出版者 | Cham : Springer International Publishing : Imprint: Springer |
出版年 | 2015 |
大きさ | X, 79 p. 14 illus., 12 illus. in color : online resource |
著者標目 | *Wayne, C. Eugene author Weinstein, Michael I author SpringerLink (Online service) |
件 名 | LCSH:Differential equations LCSH:Dynamical systems FREE:Differential Equations FREE:Dynamical Systems |
一般注記 | This book contains two review articles on the dynamics of partial differential equations that deal with closely related topics but can be read independently. Wayne reviews recent results on the global dynamics of the two-dimensional Navier-Stokes equations. This system exhibits stable vortex solutions: the topic of Wayne's contribution is how solutions that start from arbitrary initial conditions evolve towards stable vortices. Weinstein considers the dynamics of localized states in nonlinear Schrodinger and Gross-Pitaevskii equations that describe many optical and quantum systems. In this contribution, Weinstein reviews recent bifurcations results of solitary waves, their linear and nonlinear stability properties, and results about radiation damping where waves lose energy through radiation. The articles, written independently, are combined into one volume to showcase the tools of dynamical systems theory at work in explaining qualitative phenomena associated with two classes of partial differential equations with very different physical origins and mathematical properties HTTP:URL=https://doi.org/10.1007/978-3-319-19935-1 |
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電子ブック | 配架場所 | 資料種別 | 巻 次 | 請求記号 | 状 態 | 予約 | コメント | ISBN | 刷 年 | 利用注記 | 指定図書 | 登録番号 |
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電子ブック | オンライン | 電子ブック |
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Springer eBooks | 9783319199351 |
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電子リソース |
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EB00206239 |
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※2017年9月4日以降