Mathematical Models of Viscous Friction
In this monograph we present a review of a number of recent results on the motion of a classical body immersed in an infinitely extended medium and subjected to the action of an external force. We investigate this topic in the framework of mathematical ph
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Paolo Buttà Guido Cavallaro Carlo Marchioro
Mathematical Models of Viscous Friction
Lecture Notes in Mathematics Editors-in-Chief: J.-M. Morel, Cachan B. Teissier, Paris Advisory Board: Camillo De Lellis, Zurich Mario di Bernardo, Bristol Alessio Figalli, Austin Davar Khoshnevisan, Salt Lake City Ioannis Kontoyiannis, Athens Gabor Lugosi, Barcelona Mark Podolskij, Aarhus Sylvia Serfaty, Paris and NY Catharina Stroppel, Bonn Anna Wienhard, Heidelberg
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More information about this series at http://www.springer.com/series/304
Paolo ButtJa • Guido Cavallaro • Carlo Marchioro
Mathematical Models of Viscous Friction
123
Paolo ButtJa Dept. of Mathematics Sapienza UniversitJa di Roma Roma, Italy
Guido Cavallaro Dept. of Mathematics Sapienza UniversitJa di Roma Roma, Italy
Carlo Marchioro Dept. of Mathematics Sapienza UniversitJa di Roma Roma, Italy
ISSN 0075-8434 ISSN 1617-9692 (electronic) Lecture Notes in Mathematics ISBN 978-3-319-14758-1 ISBN 978-3-319-14759-8 DOI 10.1007/978-3-319-14759-8
(eBook)
Library of Congress Control Number: 2015931515 Mathematics Subject Classification (2010): 70F40, 78A35, 34G20, 70F45, 82C05, 82C40, 76D07 Springer Cham Heidelberg New York Dordrecht London © Springer International Publishing Switzerland 2015 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 Springer International Publishing AG Switzerland is part of Springer Science+Business Media (www.springer.com)
Preface
We present a review of some recent results on the motion of a classical body immersed in an infinitely extended medium and subjected to the action of an external force. We discuss two cases: when the medium is a gas and when the medium is a fluid. In the first case, the aim is to obtain microscopic models of viscous friction. In the second case, we want to underline some nontrivial features of the motion. We do not pretend to give a general survey on the subject, but only to discuss some particular results to emphasize the steps done and
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