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作者 Torres, Pedro J., author
書名 Mathematical models with singularities : a zoo of singular creatures / Pedro J. Torres
出版項 Amsterdam : s Paris Beijing: Atlantis Press, [2015]
©2015
國際標準書號 9789462391055
946239105X
9789462391062
9462391068
book jacket
館藏地 索書號 處理狀態 OPAC 訊息 條碼
 數學所圖書室  QA614.58 .T68 2015    在架上    30340200544199
06-08-2015 已為 數學所圖書室 訂購 1 本.
說明 124 pages : illustrations, 24 cm
系列 Atlantis briefs in differential equations ; volume 1
Atlantis briefs in differential equations ; volume 1
附註 Includes bibliographical references and index
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
主題 Singularities (Mathematics)
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