E-Book, Englisch, Band 1, 124 Seiten, eBook
Torres Mathematical Models with Singularities
1. Auflage 2015
ISBN: 978-94-6239-106-2
Verlag: Atlantis Press
Format: PDF
Kopierschutz: 1 - PDF Watermark
A Zoo of Singular Creatures
E-Book, Englisch, Band 1, 124 Seiten, eBook
Reihe: Atlantis Briefs in Differential Equations
ISBN: 978-94-6239-106-2
Verlag: Atlantis Press
Format: PDF
Kopierschutz: 1 - PDF Watermark
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.
Zielgruppe
Research
Autoren/Hrsg.
Weitere Infos & Material
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.