Recent Developments of Mathematical Fluid Mechanics
The book addresses recent developments of the mathematical research on the Navier-Stokes and Euler equations as well as on related problems. In particular, there are covered: 1) existence, uniqueness, and the regularity of weak solutions;2) stability
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Herbert Amann Yoshikazu Giga Hideo Kozono Hisashi Okamoto Masao Yamazaki Editors
Recent Developments of Mathematical Fluid Mechanics
Advances in Mathematical Fluid Mechanics Series editors Giovanni P. Galdi, Pittsburgh, USA John G. Heywood, Vancouver, Canada Rolf Rannacher, Heidelberg, Germany
Advances in Mathematical Fluid Mechanics is a forum for the publication of high quality monographs, or collections of works, on the mathematical theory of fluid mechanics, with special regards to the Navier-Stokes equations. Its mathematical aims and scope are similar to those of the Journal of Mathematical Fluid Mechanics. In particular, mathematical aspects of computational methods and of applications to science and engineering are welcome as an important part of the theory. So also are works in related areas of mathematics that have a direct bearing on fluid mechanics. The monographs and collections of works published here may be written in a more expository style than is usual for research journals, with the intention of reaching a wide audience. Collections of review articles will also be sought from time to time. More information about this series at http://www.springer.com/series/5032
Herbert Amann • Yoshikazu Giga • Hideo Kozono • Hisashi Okamoto • Masao Yamazaki Editors
Recent Developments of Mathematical Fluid Mechanics
Editors Herbert Amann Institut fRur Mathematik University of ZRurich ZRurich, Switzerland Hideo Kozono Department of Mathematics Waseda University Tokyo, Japan
Yoshikazu Giga Graduate School of Mathematical Sciences University of Tokyo Tokyo, Japan Hisashi Okamoto Research Institute for Mathematical Sciences Kyoto University Kitashirakawa Kyoto, Japan
Masao Yamazaki Department of Mathematics Waseda University Tokyo, Japan
ISSN 2297-0320 ISSN 2297-0339 (electronic) Advances in Mathematical Fluid Mechanics ISBN 978-3-0348-0938-2 ISBN 978-3-0348-0939-9 (eBook) DOI 10.1007/978-3-0348-0939-9 Library of Congress Control Number: 2015960758 Mathematics Subject Classification (2010): 35XX, 76XX Springer Basel Heidelberg New York Dordrecht London © Springer Basel 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 a
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