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作者 Torres, Pedro J., author
書名 Mathematical models with singularities : a zoo of singular creatures / by Pedro J. Torres
出版項 Paris : Atlantis Press : Imprint: Atlantis Press, 2015
國際標準書號 9789462391062 (electronic bk.)
9789462391055 (paper)
國際標準號碼 10.2991/978-94-6239-106-2 doi
book jacket
說明 1 online resource (xiii, 124 pages) : illustrations, digital ; 24 cm
text txt rdacontent
computer c rdamedia
online resource cr rdacarrier
text file PDF rda
系列 Atlantis briefs in differential equations, 2405-6405 ; volume 1
Atlantis briefs in differential equations ; volume 1
附註 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
Springer
Host Item Springer eBooks
主題 Singularities (Mathematics)
Mathematics
Ordinary Differential Equations
Mathematical Applications in the Physical Sciences
Alt Author SpringerLink (Online service)
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