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  • Book
  • © 2015

Mathematical Models with Singularities

A Zoo of Singular Creatures

Authors:

  • A collection of models with singularities is presented
  • Each chapter presents the history of the model and the current state of the art
  • Interesting open problems are pointed out as a guide for future research
  • Includes supplementary material: sn.pub/extras

Part of the book series: Atlantis Briefs in Differential Equations (ABDE, volume 1)

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Table of contents (11 chapters)

  1. Front Matter

    Pages i-xiii
  2. Motion of Charged Particles in a Line

    • Pedro J. Torres
    Pages 1-14
  3. Forced Keplerian-Like Systems

    • Pedro J. Torres
    Pages 21-27
  4. Particles Under a Central Force Field

    • Pedro J. Torres
    Pages 29-41
  5. Point Vortex Dynamics

    • Pedro J. Torres
    Pages 69-83
  6. A Model for Cell Volume Regulation

    • Pedro J. Torres
    Pages 107-112
  7. Back Matter

    Pages 113-124

About this book

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.

Authors and Affiliations

  • Department of Applied Mathematics, University of Granada, Granada, Spain

    Pedro J. Torres

Bibliographic Information

Buy it now

Buying options

eBook USD 39.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 54.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access