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Mathematical Models with Singularities : A Zoo of Singular Creatures / by Pedro J. Torres
(Atlantis Briefs in Differential Equations. ISSN:24056413 ; 1)
版 | 1st ed. 2015. |
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出版者 | Paris : Atlantis Press : Imprint: Atlantis Press |
出版年 | 2015 |
本文言語 | 英語 |
大きさ | XIII, 124 p. 16 illus., 7 illus. in color : online resource |
著者標目 | *Torres, Pedro J author SpringerLink (Online service) |
件 名 | LCSH:Differential equations LCSH:Mathematical physics FREE:Differential Equations FREE:Mathematical Physics |
一般注記 | Motion of charged particles in a line -- An electrostatically actuated micro-electro-mechanical system -- Forced Keplerian-like systems -- Particles under a central force field -- Bose-Einstein condensates and signal transmission in optical fibers -- Electron beam focusing by means of a periodic magnetic field -- Point vortex dynamics -- Pumping effect in a pipe/tank flow configuration -- Radial oscillations of a bubble in a time-periodic pressure field -- Radial oscillations of cylindrical and spherical shells -- A model for cell volume regulation The book aims to provide an unifying view of a variety (a 'zoo') of mathematical models with some kind of singular nonlinearity, in the sense that it becomes infinite when the state variable approaches a certain point. Up to 11 different concrete models are analyzed in separate chapters. Each chapter starts with a discussion of the basic model and its physical significance. Then the main results and typical proofs are outlined, followed by open problems. Each chapter is closed by a suitable list of references. The book may serve as a guide for researchers interested in the modelling of real world processes HTTP:URL=https://doi.org/10.2991/978-94-6239-106-2 |
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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 | 9789462391062 |
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EB00232039 |
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