說明 
124 pages : illustrations, 24 cm 
系列 
Atlantis briefs in differential equations ; volume 1 

Atlantis briefs in differential equations ; volume 1

附註 
Includes bibliographical references and index 

Motion of charged particles in a line  An electrostatically actuated microelectromechanical system  Forced Keplerianlike systems  Particles under a central force field  BoseEinstein 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 timeperiodic 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 
主題 
Singularities (Mathematics)

