Singular Limits in Thermodynamics of Viscous Fluids
This book is about singular limits of systems of partial differential equations governing the motion of thermally conducting compressible viscous fluids."The main aim is to provide mathematically rigorous arguments how to get from the compressible Navier-
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Eduard Feireisl Antonín Novotný
Singular Limits in Thermodynamics of Viscous Fluids Second Edition
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
Eduard Feireisl • Antonín Novotný
Singular Limits in Thermodynamics of Viscous Fluids Second Edition
Eduard Feireisl ASCR Praha Mathematical Institute Praha 1, Czech Republic
Antonín Novotný Université de Toulon, IMATH La Garde, France
ISSN 2297-0320 ISSN 2297-0339 (electronic) Advances in Mathematical Fluid Mechanics ISBN 978-3-319-63780-8 ISBN 978-3-319-63781-5 (eBook) DOI 10.1007/978-3-319-63781-5 Library of Congress Control Number: 2017949356 Mathematics Subject Classification (2010): 35Q30, 35-02, 76-02, 76N10, 80A22, 35B45, 76Q05 © Springer International Publishing AG 2009, 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 Springer International Publishing AG The registered company address is: Gewerbestrasse 11, 6330 Cham, Switzerland
Preface to the Second Edition
Besides the updates of the results discussed
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