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Mathematical Models with Singulariti...
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Mathematical Models with Singularities = A Zoo of Singular Creatures /
紀錄類型:
書目-語言資料,印刷品 : Monograph/item
正題名/作者:
Mathematical Models with Singularities/ by Pedro J. Torres.
其他題名:
A Zoo of Singular Creatures /
作者:
Torres, Pedro J.
面頁冊數:
XIII, 124 p. 16 illus., 7 illus. in color.online resource. :
Contained By:
Springer Nature eBook
標題:
Differential equations. -
電子資源:
https://doi.org/10.2991/978-94-6239-106-2
ISBN:
9789462391062
Mathematical Models with Singularities = A Zoo of Singular Creatures /
Torres, Pedro J.
Mathematical Models with Singularities
A Zoo of Singular Creatures /[electronic resource] :by Pedro J. Torres. - 1st ed. 2015. - XIII, 124 p. 16 illus., 7 illus. in color.online resource. - Atlantis Briefs in Differential Equations,12405-6405 ;. - Atlantis Briefs in Differential Equations,6.
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.
ISBN: 9789462391062
Standard No.: 10.2991/978-94-6239-106-2doiSubjects--Topical Terms:
527664
Differential equations.
LC Class. No.: QA372
Dewey Class. No.: 515.352
Mathematical Models with Singularities = A Zoo of Singular Creatures /
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