Mathematical Models with Singularities
A Zoo of Singular Creatures
Seiten
2015
Atlantis Press (Zeger Karssen) (Verlag)
978-94-6239-105-5 (ISBN)
Atlantis Press (Zeger Karssen) (Verlag)
978-94-6239-105-5 (ISBN)
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. Each chapter starts with a discussion of the basic model and its physical significance.
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.
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.
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.
| Reihe/Serie | Atlantis Briefs in Differential Equations ; 1 |
|---|---|
| Zusatzinfo | 7 Illustrations, color; 9 Illustrations, black and white; XIII, 124 p. 16 illus., 7 illus. in color. |
| Verlagsort | Paris |
| Sprache | englisch |
| Maße | 155 x 235 mm |
| Themenwelt | Mathematik / Informatik ► Mathematik ► Algebra |
| Mathematik / Informatik ► Mathematik ► Analysis | |
| Mathematik / Informatik ► Mathematik ► Angewandte Mathematik | |
| Naturwissenschaften ► Physik / Astronomie | |
| ISBN-10 | 94-6239-105-X / 946239105X |
| ISBN-13 | 978-94-6239-105-5 / 9789462391055 |
| Zustand | Neuware |
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Buch | Softcover (2022)
Springer Spektrum (Verlag)
CHF 55,95
