Fundamentals of Geophysical Hydrodynamics
This newly-translated book takes the reader from the basic principles and conservation laws of hydrodynamics to the description of general atmospheric circulation. Among the topics covered are the Kelvin, Ertel and Rossby-Obukhov invariants, quasi-geostro
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Encyclopaedia of Mathematical Sciences Volume 103
Mathematical Physics IV Subseries Editors: J. Fröhlich
B. Khesin
S.P. Novikov D. Ruelle
Felix V. Dolzhansky
Fundamentals of Geophysical Hydrodynamics Translated by Boris Khesin
Felix V. Dolzhansky (1937–2008)
Translator Boris Khesin Department of Mathematics University of Toronto Toronto, Canada
Scientific Editors A.E. Gledzer, E.B. Gledzer Oboukhov Institute of Atmospheric Physics Russian Academy of Sciences Moscow, Russia Founding editor of the Encyclopedia of Mathematical Sciences: Revaz V. Gamkrelidze
Original Russian edition published as “Osnovy geofizicheskoj gidrodinamiki”, 2nd edition. ISBN 9785-9221-1336-6. FIZMATLIT Moscow 2011
ISSN 0938-0396 Encyclopaedia of Mathematical Sciences ISBN 978-3-642-31033-1 ISBN 978-3-642-31034-8 (eBook) DOI 10.1007/978-3-642-31034-8 Springer Heidelberg New York Dordrecht London Library of Congress Control Number: 2012951149 Mathematics Subject Classification (2010): 35Q35, 35Q86, 35Q30, 35Q31, 76-02, 76A02, 76B, 76B60, 76B65, 76E20, 76N20 © Springer-Verlag Berlin Heidelberg 2013 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 has its origins in courses for graduate and undergraduate students at
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