Mathematical Fluid Dynamics, Present and Future Tokyo, Japan, Novemb
This volume presents original papers ranging from an experimental study on cavitation jets to an up-to-date mathematical analysis of the Navier-Stokes equations for free boundary problems, reflecting topics featured at the International Conference on Math
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Yoshihiro Shibata Yukihito Suzuki Editors
Mathematical Fluid Dynamics, Present and Future Tokyo, Japan, November 2014
Springer Proceedings in Mathematics & Statistics Volume 183
Springer Proceedings in Mathematics & Statistics This book series features volumes composed of selected contributions from workshops and conferences in all areas of current research in mathematics and statistics, including operation research and optimization. In addition to an overall evaluation of the interest, scientific quality, and timeliness of each proposal at the hands of the publisher, individual contributions are all refereed to the high quality standards of leading journals in the field. Thus, this series provides the research community with well-edited, authoritative reports on developments in the most exciting areas of mathematical and statistical research today.
More information about this series at http://www.springer.com/series/10533
Yoshihiro Shibata Yukihito Suzuki •
Editors
Mathematical Fluid Dynamics, Present and Future Tokyo, Japan, November 2014
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Editors Yoshihiro Shibata Department of Mathematics Waseda University Tokyo Japan
Yukihito Suzuki Department of Mathematics Waseda University Tokyo Japan
ISSN 2194-1009 ISSN 2194-1017 (electronic) Springer Proceedings in Mathematics & Statistics ISBN 978-4-431-56455-3 ISBN 978-4-431-56457-7 (eBook) DOI 10.1007/978-4-431-56457-7 Library of Congress Control Number: 2016951691 Mathematics Subject Classification (2010): 00B25 © Springer Japan 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 Japan KK The registered company address is: Chiyoda First Bldg. East, 3-8-1 Nishi-Kanda, Chiyoda-ku, Tokyo 101-0065, Japan
Preface
The rapid development of computers has enabled us to design several industrial products relying on detailed numerical simulation which is based on the Navier– Stokes equation. This proves the r
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