Springer Monographs in Mathematics

Introduction to Vortex Filaments in Equilibrium

Authors: Andersen, Timothy D., Lim, Chjan C.

Free Preview
  • 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
see more benefits

Buy this book

eBook $69.99
price for USA in USD
  • ISBN 978-1-4939-1938-3
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • Immediate eBook download after purchase and usable on all devices
  • Bulk discounts from 10 eBooks
Hardcover $109.99
price for USA in USD
Softcover $89.99
price for USA in USD
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.

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.

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 suitable as a resource book for graduate-level research seminars for advanced graduate students and research professionals.” (L. Debnath, Mathematical Reviews, May, 2015)


Table of contents (10 chapters)

Table of contents (10 chapters)

Buy this book

eBook $69.99
price for USA in USD
  • ISBN 978-1-4939-1938-3
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • Immediate eBook download after purchase and usable on all devices
  • Bulk discounts from 10 eBooks
Hardcover $109.99
price for USA in USD
Softcover $89.99
price for USA in USD
Loading...

Recommended for you

Loading...

Bibliographic Information

Bibliographic Information
Book Title
Introduction to Vortex Filaments in Equilibrium
Authors
Series Title
Springer Monographs in Mathematics
Copyright
2014
Publisher
Springer-Verlag New York
Copyright Holder
Springer Science+Business Media New York
eBook ISBN
978-1-4939-1938-3
DOI
10.1007/978-1-4939-1938-3
Hardcover ISBN
978-1-4939-1937-6
Softcover ISBN
978-1-4939-5106-2
Series ISSN
1439-7382
Edition Number
1
Number of Pages
XI, 139
Number of Illustrations
1 b/w illustrations, 80 illustrations in colour
Topics