Introduction to vortex filaments in equilibrium
By: Timothy D. Andersen, Chjan C. Lim
Contributors: Lim, Chjan C., 1959- author
Series: Springer monographs in mathematics; Springer monographs in mathematics
Publisher: Springer
Published: 2014
Place of publication: New York
Language: eng
Number of pages: 139
ISBN-13: 9781493919376; 9781493919383
Copyright date: 2014
Subjects: Mathematics; Nonlinear waves; Statistical mechanics; Magnetohydrodynamics
Description: 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 magneto-hydrodynamics 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. --
Notes: Includes bibliographical references (pages 131-136) and index.
Table of contents: title: Introduction; title: Vortex filaments and where to find them; title: Statistical mechanics; title: Parallel filaments; title: Curved filaments; title: Quantum fluids; title: Plasmas; title: Computational methods; title: Quasi 2-D Monte Carlo in deep ocean convection; title: Conclusion.