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Tomáš Bodnár Giovanni P. Galdi Šárka Nečasová Editors

Fluids Under Pressure

Advances in Mathematical Fluid Mechanics Series editors Giovanni P. Galdi, University of Pittsburgh, Pittsburgh, USA John G. Heywood, University of British Columbia, Vancouver, Canada Rolf Rannacher, Heidelberg University, 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

Fluids Under Pressure

Editors Tomáš Bodnár Department of Technical Mathematics Czech Technical University Prague, Czech Republic

Giovanni P. Galdi Department of Mechanical Engineering University of Pittsburgh Pittsburgh, PA, USA

Šárka Neˇcasová Academy of Sciences of the Czech Republic Prague, Czech Republic

ISSN 2297-0320 ISSN 2297-0339 (electronic) Advances in Mathematical Fluid Mechanics ISBN 978-3-030-39638-1 ISBN 978-3-030-39639-8 (eBook) https://doi.org/10.1007/978-3-030-39639-8 Mathematics Subject Classification: 35Q30, 35Q35, 65M08, 76A02, 76D03, 76D05, 80M10 © Springer Nature Switzerland AG 2020 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, expressed 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. This book is published under the imprint Birkhäuser, www.birkhauser-science.com by the registered company Springer Nature Switzerland AG. The registered company address is: Gewerbestrass