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＜電子ブック＞
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.
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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