Pedro J. Torres

Mathematical Models with Singularities

A Zoo of Singular Creatures

• Broschiertes Buch

Produktbeschreibung

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.

Produktdetails

• Atlantis Computational Intelligence Systems 1
• Verlag: Atlantis Press / Springer, Berlin
• Artikelnr. des Verlages: 978-94-6239-105-5
• 2015
• Seitenzahl: 140
• Erscheinungstermin: 4. Februar 2015
• Englisch
• Abmessung: 235mm x 155mm x 8mm
• Gewicht: 225g
• ISBN-13: 9789462391055
• ISBN-10: 946239105X
• Artikelnr.: 41857590

Inhaltsangabe

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 ow 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.