Mathematical Models with Singularities
A Zoo of Singular Creatures
(Sprache: Englisch)
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...
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Klappentext zu „Mathematical Models with Singularities “
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.
Inhaltsverzeichnis zu „Mathematical Models with Singularities “
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 ow 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.
Bibliographische Angaben
- Autor: Pedro J. Torres
- 2015, 2015, XIII, 124 Seiten, 7 farbige Abbildungen, Masse: 15,5 x 23,5 cm, Kartoniert (TB), Englisch
- Verlag: Springer, Berlin
- ISBN-10: 946239105X
- ISBN-13: 9789462391055
- Erscheinungsdatum: 14.03.2015
Sprache:
Englisch
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