Mathematical models with singularities: A zoo of singular creatures by Pedro J. TorresMathematical models with singularities: A zoo of singular creatures by Pedro J. Torres

Mathematical models with singularities: A zoo of singular creatures

byPedro J. Torres

Paperback | February 4, 2015

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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.
Title:Mathematical models with singularities: A zoo of singular creaturesFormat:PaperbackDimensions:124 pagesPublished:February 4, 2015Publisher:Springer-Verlag/Sci-Tech/TradeLanguage:English

The following ISBNs are associated with this title:

ISBN - 10:946239105X

ISBN - 13:9789462391055

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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 ï¬eld.- Bose-Einstein condensates and signal transmission in optical ï¬bers.- Electron beam focusing by means of a periodic magnetic ï¬eld.- Point vortex dynamics.- Pumping effect in a pipe/tank ï¬ow conï¬guration.- Radial oscillations of a bubble in a time-periodic pressure ï¬eld.- Radial oscillations of cylindrical and spherical shells.- A model for cell volume regulation.