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  • © 2014

Introduction to Vortex Filaments in Equilibrium

  • Includes discussion topics and questions
  • Informal survey-style benefits, survey courses, and seminar classes focused on discussion and independent projects
  • Gradual increase in depth as the book progresses - refocuses students and learners on topics covered in earlier chapters
  • Focuses on particular kind of feature, vortex filaments, in numerous areas of physics rather than a particular area of physics
  • Includes supplementary material: sn.pub/extras

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

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Table of contents (10 chapters)

  1. Front Matter

    Pages i-xi
  2. Introduction

    • Timothy D. Andersen, Chjan C. Lim
    Pages 1-8
  3. Vortex Filaments and Where to Find Them

    • Timothy D. Andersen, Chjan C. Lim
    Pages 9-24
  4. Statistical Mechanics

    • Timothy D. Andersen, Chjan C. Lim
    Pages 25-41
  5. Parallel Filaments

    • Timothy D. Andersen, Chjan C. Lim
    Pages 43-56
  6. Curved Filaments

    • Timothy D. Andersen, Chjan C. Lim
    Pages 57-69
  7. Quantum Fluids

    • Timothy D. Andersen, Chjan C. Lim
    Pages 71-80
  8. Plasmas

    • Timothy D. Andersen, Chjan C. Lim
    Pages 81-97
  9. Computational Methods

    • Timothy D. Andersen, Chjan C. Lim
    Pages 99-109
  10. Quasi-2D Monte Carlo in Deep Ocean Convection

    • Timothy D. Andersen, Chjan C. Lim
    Pages 111-127
  11. Conclusion

    • Timothy D. Andersen, Chjan C. Lim
    Pages 129-130
  12. Back Matter

    Pages 131-139

About this book

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.

Reviews

“This book is devoted to the study of vortex filaments in equilibrium, quasi-2D vortex structures with applications to geophysical fluid dynamics and magnetohydrodynamics in plasmas. … The text is useful for both researchers and students.” (Maria Christina Mariani, zbMATH 1327.82001, 2016)

“This is a short but excellent research monograph that would be useful for the advanced study of and future research on vortex dynamics and its modern applications. I strongly recommend it to anyone interested in analytical and computational research on vortex filaments as well as quantum vortices and their applications. It would be suitableas a resource book for graduate-level research seminars for advanced graduate students and research professionals.” (L. Debnath, Mathematical Reviews, May, 2015)

Authors and Affiliations

  • Georgia Institute of Technology, Atlanta, USA

    Timothy D. Andersen

  • Rensselaer Polytechnic Inst. Dept. Mathematical Sciences, Troy, USA

    Chjan C. Lim

About the authors

Timothy D. Andersen received his Ph.D. in Mathematics in 2007. His research interests include Feynman-Kac path integral approaches to vortex filaments, plasmas, and biochemical electrostatics, quantum interpretation problem and the arrow of time, and dark matter and the Dirac equation. Chjan Lim, Ph.D., is a professor of Mathematical Sciences at Rensselaer Polytechnic Institute. His research areas include statistical physics and turbulence, computational science and vortex dynamics, symmetric dynamical systems, and combinational matrix theory.

Bibliographic Information

Buy it now

Buying options

eBook USD 19.99 USD 39.99
50% discount Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 29.99 USD 54.99
45% discount Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book USD 29.99 USD 54.99
45% discount Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access