Mathematical Theory of Evolutionary Fluid-Flow Structure Interactions

This book is devoted to the study of coupled partial differential equation models, which describe complex dynamical systems occurring in modern scientific applications such as fluid/flow-structure interactions. The first chapter provides a general descrip

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Mathematical Theory of Evolutionary Fluid-Flow Structure Interactions Barbara Kaltenbacher Igor Kukavica Irena Lasiecka Roberto Triggiani Amjad Tuffaha Justin T. Webster

Oberwolfach Seminars Volume 48

More information about this series at http://www.springer.com/series/4812

Barbara Kaltenbacher • Igor Kukavica • Irena Lasiecka Roberto Triggiani • Amjad Tuffaha • Justin T. Webster

Mathematical Theory of Evolutionary Fluid-Flow Structure Interactions

Barbara Kaltenbacher Insitute of Mathematics University of Klagenfurt Klagenfurt am Wörthersee Kärnten, Austria Irena Lasiecka Dept of Mathematical Sciences University of Memphis Memphis, Tennessee, USA Amjad Tuffaha American University of Sharjah Sharjah, United Arab Emirates

Igor Kukavica Department of Mathematics University of Southern California Los Angeles, California, USA Roberto Triggiani Dept of Mathematical Sciences University of Memphis Memphis, Tennessee, USA Justin T. Webster Department of Mathematics and Statistics University of Maryland, College Park Maryland, USA

ISSN 1661-237X ISSN 2296-5041 (electronic) Oberwolfach Seminars ISBN 978-3-319-92782-4 ISBN 978-3-319-92783-1 (eBook) https://doi.org/10.1007/978-3-319-92783-1 Library of Congress Control Number: 2018944675 Mathematics Subject Classification (2010): 35Q35, 35B40, 35B41, 35G50, 35L77, 35Q93, 35A01, 35A02, 35Q74, 74F10, 76G25 © Springer International Publishing AG, part of Springer Nature 2018 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 imprint Birkhäuser, www.birkhauser-science.com by the registered company Springer International Publishing AG part of Springer Nature. The registered company address is: Gewerbestrasse 11, 6330 Cham, Switzerland

Contents Preface . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1 An introduction to a fluid-structure