Mathematical Models with Singularities
A Zoo of Singular Creatures
1st Edition
Published on 22. January 2015
XIII, 124 pages
978-94-6239-106-2 (ISBN)
Description
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.
More details
Series
Language
English
Place of publication
Paris
Netherlands
Target group
Professional and scholarly
Product notice
Reflowable
Illustrations
XIII, 124 p. 16 illus., 7 illus. in color.
File size
4,21 MB
ISBN-13
978-94-6239-106-2 (9789462391062)
DOI
10.2991/978-94-6239-106-2
Schweitzer Classification
Other editions
Additional editions
Book
02/2015
Atlantis Press (Zeger Karssen)
€53.49
Shipment within 10-15 days
Content
Motion of charged particles in a line.- An electrostatically actuated micro-electro-mechanical system.- Forced Keplerian-like systems.- Particles under a central force ?eld.- Bose-Einstein condensates and signal transmission in optical ?bers.- Electron beam focusing by means of a periodic magnetic ?eld.- Point vortex dynamics.- Pumping effect in a pipe/tank ?ow con?guration.- Radial oscillations of a bubble in a time-periodic pressure ?eld.- Radial oscillations of cylindrical and spherical shells.- A model for cell volume regulation.
