Nonlinear Water Waves Cetraro, Italy 2013
This volume brings together four lecture courses on modern aspects of water waves. The intention, through the lectures, is to present quite a range of mathematical ideas, primarily to show what is possible and what, currently, is of particular interest. W
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Adrian Constantin Joachim Escher Robin Stanley Johnson Gabriele Villari
Nonlinear Water Waves Cetraro, Italy 2013 Adrian Constantin Editor
Lecture Notes in Mathematics Editors-in-Chief: J.-M. Morel, Cachan B. Teissier, Paris Advisory Board: Camillo De Lellis, Zürich Mario di Bernardo, Bristol Alessio Figalli, Austin Davar Khoshnevisan, Salt Lake City Ioannis Kontoyiannis, Athens Gabor Lugosi, Barcelona Mark Podolskij, Aarhus Sylvia Serfaty, Paris and New York Catharina Stroppel, Bonn Anna Wienhard, Heidelberg
More information about this series at http://www.springer.com/series/304
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Adrian Constantin • Joachim Escher • Robin Stanley Johnson • Gabriele Villari
Nonlinear Water Waves Cetraro, Italy 2013 Adrian Constantin Editor
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Authors Adrian Constantin Faculty of Mathematics University of Vienna Vienna, Austria
Joachim Escher Inst. for Applied Mathematics Gottfried Wilhelm Leibniz University Niedersachsen Hannover, Germany
Robin Stanley Johnson School of Mathematics and Statistics University of Newcastle Newcastle upon Tyne, United Kingdom
Gabriele Villari Department of Mathematics “Ulisse Dini” University of Florence Florence, Italy
Editor Adrian Constantin Faculty of Mathematics University of Vienna Vienna, Austria
ISSN 0075-8434 Lecture Notes in Mathematics ISBN 978-3-319-31461-7 DOI 10.1007/978-3-319-31462-4
ISSN 1617-9692 (electronic) ISBN 978-3-319-31462-4 (eBook)
Library of Congress Control Number: 2016941322 Mathematics Subject Classification (2010): 76B15, 35Q35, 34C05 © Springer International Publishing Switzerland 2016 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 This Springer imprint is published by Springer Nature The registered company is Springer International Publishing AG Switzerland
Preface
The study of water waves involves various disciplines such as mathematics, physics and engineering—to name the obvious—and within this, there are many specific areas of direct or associated interest such as pure mat
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