Particles in Flows

This book aims to face particles in flows from many different, but essentially interconnected sides and points of view. Thus the selection of authors and topics represented in the chapters, ranges from deep mathematical analysis of the associated models,

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Tomáš Bodnár Giovanni P. Galdi Šárka Necˇ asová Editors

Particles in Flows

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.

More information about this series at http://www.springer.com/series/5032

Tomáš Bodnár • Giovanni P. Galdi • Šárka Neˇcasová Editors

Particles in Flows

Editors Tomáš Bodnár Department of Technical Mathematics Faculty of Mechanical Engineering Czech Technical University in Prague Prague, Czech Republic

Giovanni P. Galdi Department of Mechanical Engineering and Materials Science University of Pittsburgh Pittsburgh, Pennsylvania, USA

Šárka Neˇcasová Institute of Mathematics Czech Academy of Sciences Prague, Czech Republic

ISSN 2297-0320 ISSN 2297-0339 (electronic) Advances in Mathematical Fluid Mechanics ISBN 978-3-319-60281-3 ISBN 978-3-319-60282-0 (eBook) DOI 10.1007/978-3-319-60282-0 Library of Congress Control Number: 2017953452 Mathematics Subject Classification (2010): 35Q70, 76M28, 35Q35, 76A02, 76D03, 76D05, 76T10 © Springer International Publishing AG 2017 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. The publisher remains neutral with regard to jurisdictional claims in published maps and institutional affiliations. Printed on acid-free paper This book is published under the trade name Birkhäuser, www.birkhauser-science.com The registered company is Spri

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