Shallow Water Waves on the Rotating Earth
This book describes new theoretical advances concerning analytical solutions of the Rotating Shallow Water Equations, which will make it of great interest to graduate students and scientists in the fields of Geophysical Fluid Dynamics, Physical Oceanograp
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Nathan Paldor
Shallow Water Waves on the Rotating Earth
123
SpringerBriefs in Earth System Sciences Series editors Gerrit Lohmann, Bremen, Germany Lawrence A. Mysak, Montreal, Canada Justus Notholt, Bremen, Germany Jorge Rabassa, Ushuaia, Argentina Vikram Unnithan, Bremen, Germany
More information about this series at http://www.springer.com/series/10032
Nathan Paldor
Shallow Water Waves on the Rotating Earth
123
Nathan Paldor Fredy and Nadine Herrmann Institute of Earth Sciences The Hebrew University of Jerusalem Jerusalem Israel
ISSN 2191-589X ISSN 2191-5903 (electronic) SpringerBriefs in Earth System Sciences ISBN 978-3-319-20260-0 ISBN 978-3-319-20261-7 (eBook) DOI 10.1007/978-3-319-20261-7 Library of Congress Control Number: 2015941492 Springer Cham Heidelberg New York Dordrecht London © The Author(s) 2015 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. 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. The publisher, the authors and the editors are safe to assume that the advice and information in this book are believed to be true and accurate at the date of publication. Neither the publisher nor the authors or the editors give a warranty, express or implied, with respect to the material contained herein or for any errors or omissions that may have been made. Printed on acid-free paper Springer International Publishing AG Switzerland is part of Springer Science+Business Media (www.springer.com)
Preface
This book describes new theoretical advances made in recent years that yielded new analytical solutions of the rotating shallow-water equations. The intended readership of the book consists of graduate students and scientists in the fields of geophysical fluid dynamics, physical oceanography, dynamical meteorology, and applied mathematics who study or employ the shallow-water equations. The new dispersion relations and meridional amplitude structures of the waves derived in this book can be applied to observations in the atmosphere and ocean and they also provide alternatives to the spherical harmonics basis of global-scale spectral numerical models. The book originates from years of teaching courses in dynamical meteorology and physical oceanography at the Hebrew University of Jerusalem as well as at the University of Miami and Johns Hopkins University during my sabbatical stays there. In textbooks of Physical Oceanography and Dynamical Meteorology the theory of Ke
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