Introduction to Vortex Filaments in Equilibrium

  • Timothy D. Andersen
  • Chjan C. Lim

Part of the Springer Monographs in Mathematics book series (SMM)

Table of contents

  1. Front Matter
    Pages i-xi
  2. Timothy D. Andersen, Chjan C. Lim
    Pages 1-8
  3. Timothy D. Andersen, Chjan C. Lim
    Pages 9-24
  4. Timothy D. Andersen, Chjan C. Lim
    Pages 25-41
  5. Timothy D. Andersen, Chjan C. Lim
    Pages 43-56
  6. Timothy D. Andersen, Chjan C. Lim
    Pages 57-69
  7. Timothy D. Andersen, Chjan C. Lim
    Pages 71-80
  8. Timothy D. Andersen, Chjan C. Lim
    Pages 81-97
  9. Timothy D. Andersen, Chjan C. Lim
    Pages 99-109
  10. Timothy D. Andersen, Chjan C. Lim
    Pages 111-127
  11. Timothy D. Andersen, Chjan C. Lim
    Pages 129-130
  12. Back Matter
    Pages 131-139

About this book

Introduction

This book presents fundamental concepts and seminal results to the study of vortex filaments in equilibrium. It also presents new discoveries in quasi-2D vortex structures with applications to geophysical fluid dynamics and magnetohydrodynamics in plasmas.  It fills a gap in the vortex statistics literature by simplifying the mathematical introduction to this complex topic, covering numerical methods, and exploring a wide range of applications with numerous examples.

The authors have produced an introduction that is clear and easy to read, leading the reader step-by-step into this topical area. Alongside the theoretical concepts and mathematical formulations, interesting applications are discussed. This combination makes the text useful for students and researchers in mathematics and physics.

Keywords

Equilibrium Statistical Mechanics Filaments Mechanics Negative Specific Heat Quantized Vortices Statistical Vortex Equilibria

Authors and affiliations

  • Timothy D. Andersen
    • 1
  • Chjan C. Lim
    • 2
  1. 1.Georgia Institute of TechnologyAtlantaUSA
  2. 2.Rensselaer Polytechnic Inst. Dept. Mathematical SciencesTroyUSA

Bibliographic information

  • DOI https://doi.org/10.1007/978-1-4939-1938-3
  • Copyright Information Springer Science+Business Media New York 2014
  • Publisher Name Springer, New York, NY
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-1-4939-1937-6
  • Online ISBN 978-1-4939-1938-3
  • Series Print ISSN 1439-7382
  • Series Online ISSN 2196-9922
  • About this book