New Trends and Results in Mathematical Description of Fluid Flows
The book presents recent results and new trends in the theory of fluid mechanics. Each of the four chapters focuses on a different problem in fluid flow accompanied by an overview of available older results.The chapters are extended lecture notes from the
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New Trends and Results in Mathematical Description of Fluid Flows
Nečas Center Series
Editor-in-Chief: Josef Málek, Charles University, Czech Republic Managing Editor: Beata Kubiś, Czech Academy of Sciences, Czech Republic Editorial Board: Peter Bastian, Universität Heidelberg, Germany Miroslav Bulíček, Charles University, Czech Republic Andrea Cianchi, Università degli Studi di Firenze, Italy Camillo De Lellis, Universität Zürich, Switzerland Eduard Feireisl, Czech Academy of Sciences, Czech Republic Volker Mehrmann, Technische Universität Berlin, Germany Luboš Pick, Charles University, Czech Republic Milan Pokorný, Charles University, Czech Republic Vít Průša, Charles University, Czech Republic KR Rajagopal,Texas A&M University, USA Christophe Sotin, California Institute of Technology, USA Zdeněk Strakoš, Charles University, Czech Republic Endre Süli, University of Oxford, UK Vladimír Šverák, University of Minnesota, USA Jan Vybíral, Czech Technical University, Czech Republic
The Nečas Center Series aims to publish high-quality monographs, textbooks, lecture notes, habilitation and Ph.D. theses in the field of mathematics and related areas in the natural and social sciences and engineering. There is no restriction regarding the topic, although we expect that the main fields will include continuum thermodynamics, solid and fluid mechanics, mixture theory, partial differential equations, numerical mathematics, matrix computations, scientific computing and applications. Emphasis will be placed on viewpoints that bridge disciplines and on connections between apparently different fields. Potential contributors to the series are encouraged to contact the editor-in-chief and the manager of the series. More information about this series at http://www.springer.com/series/16005
Miroslav Bulíþek • Eduard Feireisl • Milan Pokorný Editors
New Trends and Results in Mathematical Description of Fluid Flows
Editors Miroslav Bulíček Faculty of Mathematics and Physics Charles University Prague, Czech Republic
Eduard Feireisl Institute of Mathematics Czech Academy of Sciences Prague, Czech Republic
Milan Pokorný Faculty of Mathematics and Physics Charles University Prague, Czech Republic
ISSN 2523-3343 ISSN 2523-3351 (electronic) Nečas Center Series ISBN 978-3-319-94342-8 ISBN 978-3-319-94343-5 (eBook) https://doi.org/10.1007/978-3-319-94343-5 Library of Congress Control Number: 2018953362 Mathematics Subject Classification (2010): 35D99, 35L02, 35Q30, 35Q31, 76B03, 76D03, 76M10, 76N10, 76T10 © Springer Nature Switzerland AG 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,
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