Mathematical Models with Singularities A Zoo of Singular Creatures /
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. E...
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| Language: | English |
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Paris :
Atlantis Press : Imprint: Atlantis Press,
2015.
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| Edition: | 1st ed. 2015. |
| Series: | Atlantis Briefs in Differential Equations,
1 |
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| Online Access: | https://doi.org/10.2991/978-94-6239-106-2 |
Table of Contents:
- 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.