Introduction to Vortex Filaments in Equilibrium
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
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Timothy D. Andersen Chjan C. Lim
Introduction to Vortex Filaments in Equilibrium
Springer Monographs in Mathematics
More information about this series at http://www.springer.com/series/3733
Timothy D. Andersen
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Chjan C. Lim
Introduction to Vortex Filaments in Equilibrium
123
Timothy D. Andersen Georgia Tech Research Institute Georgia Institute of Technology Atlanta, GA, USA
Chjan C. Lim Department of Mathematical Sciences Rensselaer Polytechnic Institute Troy, NY, USA
ISSN 1439-7382 ISSN 2196-9922 (electronic) ISBN 978-1-4939-1937-6 ISBN 978-1-4939-1938-3 (eBook) DOI 10.1007/978-1-4939-1938-3 Springer New York Heidelberg Dordrecht London Library of Congress Control Number: 2014951028 Mathematics Subject Classification: 76B47, 82B99, 82D10 © Springer Science+Business Media New York 2014 This work is subject to copyright. All rights are reserved by the Publisher, whether the whole or part of the material is concerned, specifically the rights of translation, reprinting, reuse of illustrations, recitation, broadcasting, reproduction on microfilms or in any other physical way, and transmission or information storage and retrieval, electronic adaptation, computer software, or by similar or dissimilar methodology now known or hereafter developed. Exempted from this legal reservation are brief excerpts in connection with reviews or scholarly analysis or material supplied specifically for the purpose of being entered and executed on a computer system, for exclusive use by the purchaser of the work. Duplication of this publication or parts thereof is permitted only under the provisions of the Copyright Law of the Publisher’s location, in its current version, and permission for use must always be obtained from Springer. Permissions for use may be obtained through RightsLink at the Copyright Clearance Center. Violations are liable to prosecution under the respective Copyright Law. The use of general descriptive names, registered names, trademarks, service marks, etc. in this publication does not imply, even in the absence of a specific statement, that such names are exempt from the relevant protective laws and regulations and therefore free for general use. While the advice and information in this book are believed to be true and accurate at the date of publication, neither the authors nor the editors nor the publisher can accept any legal responsibility for any errors or omissions that may be made. The publisher makes no warranty, express or implied, with respect to the material contained herein. Printed on acid-free paper Springer is part of Springer Science+Business Media (www.springer.com)
Preface
This book is an introduction to vortex filaments statistics in equilibrium. It is intended to be a survey of applications, methods, mathematical models, and computational methods for vortex filaments in ensembles wherever they appear focusing on hydrodynamics, plasmas (magnetohydrodynamics), and quantized vortices in superfluids and superconductors. The goal is to bring these distinct cases under the single umbr
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