Mathematical Theory of Compressible Viscous Fluids Analysis and Nume

This book offers an essential introduction to the mathematical theory of compressible viscous fluids. The main goal is to present analytical methods from the perspective of their numerical applications. Accordingly, we introduce the principal theoretical

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Eduard Feireisl Trygve G. Karper Milan Pokorný

Mathematical Theory of Compressible Viscous Fluids Analysis and Numerics

Advances in Mathematical Fluid Mechanics Lecture Notes in Mathematical Fluid Mechanics Editor-in-Chief: Galdi, Giovanni P Series Editors Bresch, D. John, V. Hieber, M. Kukavica, I. Robinson, J. Shibata, Y.

Lecture Notes in Mathematical Fluid Mechanics as a subseries of ‘Advances in Mathematical Fluid Mechanics’ is a forum for the publication of high quality monothematic work as well lectures on a new field or presentations of a new angle on the mathematical theory of fluid mechanics, with special regards to the NavierStokes equations and other significant viscous and inviscid fluid models. In particular, mathematical aspects of computational methods and of applications to science and engineering are welcome as an important part of the theory as well as 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/15480

Eduard Feireisl • Trygve G. Karper • Milan Pokorný

Mathematical Theory of Compressible Viscous Fluids Analysis and Numerics

Eduard Feireisl Institute of Mathematics CAS Praha, Czech Republic

Trygve G. Karper Department of Mathematical Sciences Norwegian University of Science & Tech. Trondheim, Norway

Milan Pokorný Charles University Faculty Mathematics and Physics Charles University Praha, Czech Republic

ISSN 2297-0320 ISSN 2297-0339 (electronic) Advances in Mathematical Fluid Mechanics ISSN 2510-1374 ISSN 2510-1382 (electronic) Lecture Notes in Mathematical Fluid Mechanics ISBN 978-3-319-44834-3 ISBN 978-3-319-44835-0 (eBook) DOI 10.1007/978-3-319-44835-0 Library of Congress Control Number: 2016951227 © Springer International Publishing Switzerland 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 book is published under the trade name Birkhäuser, www.birkhauser-science.com The registered company is Sprin