Introduction to Vortex Filaments in Equilibrium

Timothy D. Andersen, Chjan C. Lim

ISBN 10: 1493951068 / ISBN 13: 9781493951062

Published by Springer-Verlag New York Inc., US, 2016

About this Item

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. Softcover reprint of the original 1st ed. 2014.

Seller Inventory # LU-9781493951062

Bibliographic Details

• Title: Introduction to Vortex Filaments in Equilibrium
• Publisher: Springer-Verlag New York Inc., US
• Publication Date: 2016
• Language: English
• ISBN 10: 1493951068
• ISBN 13: 9781493951062
• Binding: Paperback
• Condition: New

About this title

Synopsis

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 Author

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.