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02814nam a22004575i 4500 |
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978-94-6239-106-2 |
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DE-He213 |
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20151204190417.0 |
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cr nn 008mamaa |
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150122s2015 fr | s |||| 0|eng d |
| 020 |
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|a 9789462391062
|9 978-94-6239-106-2
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7 |
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|a 10.2991/978-94-6239-106-2
|2 doi
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|d GrThAP
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|a QA372
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|a PBKJ
|2 bicssc
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|a MAT007000
|2 bisacsh
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|a 515.352
|2 23
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|a Torres, Pedro J.
|e author.
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|a Mathematical Models with Singularities
|h [electronic resource] :
|b A Zoo of Singular Creatures /
|c by Pedro J. Torres.
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| 264 |
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|a Paris :
|b Atlantis Press :
|b Imprint: Atlantis Press,
|c 2015.
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| 300 |
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|a XIII, 124 p. 16 illus., 7 illus. in color.
|b online resource.
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| 336 |
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|a text
|b txt
|2 rdacontent
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|a computer
|b c
|2 rdamedia
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|a online resource
|b cr
|2 rdacarrier
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|a text file
|b PDF
|2 rda
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| 490 |
1 |
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|a Atlantis Briefs in Differential Equations,
|x 2405-6405 ;
|v 1
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| 505 |
0 |
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|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.
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|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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| 650 |
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|a Mathematics.
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| 650 |
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|a Differential equations.
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| 650 |
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|a Mathematical physics.
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| 650 |
1 |
4 |
|a Mathematics.
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| 650 |
2 |
4 |
|a Ordinary Differential Equations.
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| 650 |
2 |
4 |
|a Mathematical Applications in the Physical Sciences.
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| 710 |
2 |
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|a SpringerLink (Online service)
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| 773 |
0 |
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|t Springer eBooks
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| 776 |
0 |
8 |
|i Printed edition:
|z 9789462391055
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| 830 |
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|a Atlantis Briefs in Differential Equations,
|x 2405-6405 ;
|v 1
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| 856 |
4 |
0 |
|u http://dx.doi.org/10.2991/978-94-6239-106-2
|z Full Text via HEAL-Link
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| 912 |
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|a ZDB-2-SMA
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| 950 |
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|a Mathematics and Statistics (Springer-11649)
|
