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Mathematical models with singularitiesa zoo of singular creatures /

Record Type:	Electronic resources : Monograph/item
Title/Author:	Mathematical models with singularitiesby Pedro J. Torres.
Reminder of title:	a zoo of singular creatures /
Author:	Torres, Pedro J.
Published:	Paris :Atlantis Press :2015.
Description:	xiii, 124 p. :ill., digital ;24 cm.
Contained By:	Springer eBooks
Subject:	Singularities (Mathematics)
Online resource:	http://dx.doi.org/10.2991/978-94-6239-106-2
ISBN:	9789462391062 (electronic bk.)

Mathematical models with singularitiesa zoo of singular creatures /
Torres, Pedro J.

Mathematical models with singularitiesa zoo of singular creatures /[electronic resource] :by Pedro J. Torres. - Paris :Atlantis Press :2015. - xiii, 124 p. :ill., digital ;24 cm. - Atlantis briefs in differential equations,v.12405-6405 ;. - Atlantis briefs in differential equations ;v.1..

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 (electronic bk.)

Standard No.: 10.2991/978-94-6239-106-2doiSubjects--Topical Terms:

185806
Singularities (Mathematics)

LC Class. No.: QA614.58

Dewey Class. No.: 516.35

Mathematical models with singularitiesa zoo of singular creatures /
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505 0 $a 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.
520 $a 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.
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