Mathematical models with singularities : a zoo of singular creatures
Singularities (Mathematics) sähkökirjat
Atlantis Press
2015
EISBN 9789462391062
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.
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.
