
Mathematical Models with Singularities
A Zoo of Singular Creatures
Pedro J. Torres(Author)
Atlantis Press (Zeger Karssen)
Published on 4. February 2015
Book
Paperback/Softback
XIII, 124 pages
978-94-6239-105-5 (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
Product info
Book
Series
Edition
2015
Language
English
Place of publication
Paris
Netherlands
Target group
Professional and scholarly
Research
Illustrations
7
9 s/w Abbildungen, 7 farbige Abbildungen
7 Illustrations, color; 9 Illustrations, black and white; XIII, 124 p. 16 illus., 7 illus. in color.
Dimensions
Height: 235 mm
Width: 155 mm
Thickness: 8 mm
Weight
224 gr
ISBN-13
978-94-6239-105-5 (9789462391055)
DOI
10.2991/978-94-6239-106-2
Schweitzer Classification
Other editions
Additional editions

E-Book
01/2015
1st Edition
Atlantis Press
€53.49
Available for download
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.