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Mathematical models with singularities : a zoo of singular creatures

Author: Pedro J Torres
Publisher: Paris, France : Atlantis Press, 2015.
Series: Atlantis briefs in differential equations, volume 1.
Edition/Format:   eBook : Document : EnglishView all editions and formats
Summary:
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  Read more...
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Genre/Form: Electronic books
Additional Physical Format: Printed edition:
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Pedro J Torres
ISBN: 9789462391062 9462391068 946239105X 9789462391055
OCLC Number: 900724011
Description: 1 online resource.
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.
Series Title: Atlantis briefs in differential equations, volume 1.
Responsibility: Pedro J. Torres.

Abstract:

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  Read more...

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