Rate-Independent Systems Theory and Application
This monograph provides both an introduction to and a thorough exposition of the theory of rate-independent systems, which the authors have worked on with a number of collaborators over many years. The focus is mostly on fully rate-independent systems, fi
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Alexander Mielke Tomáš Roubíček
RateIndependent Systems Theory and Application
Applied Mathematical Sciences Volume 193 Founding Editors Fritz John, Joseph P. LaSalle and Lawrence Sirovich
Editors S.S. Antman [email protected] Leslie Greengard [email protected] P.J. Holmes [email protected]
Advisors J. Bell R. Kohn J. Keller R. Pego L. Ryzhik A. Singer A. Stevens A. Stuart S. Wright
More information about this series at http://www.springer.com/series/34
Alexander Mielke • Tomáš Roubíˇcek
Rate-Independent Systems Theory and Application
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Alexander Mielke Weierstraß-Institut für Angewandte Analysis und Stochastik Berlin, Germany
Tomáš Roubíˇcek Mathematical Institute Charles University Prague, Czech Republic
Institut für Mathematik Humboldt-Universität zu Berlin Berlin, Germany
Institute of Thermomechanics Czech Academy of Sciences Prague, Czech Republic Institute of Information Theory and Automation Czech Academy of Sciences Prague, Czech Republic
ISSN 0066-5452 ISSN 2196-968X (electronic) Applied Mathematical Sciences ISBN 978-1-4939-2705-0 ISBN 978-1-4939-2706-7 (eBook) DOI 10.1007/978-1-4939-2706-7 Library of Congress Control Number: 2015938159 Mathematics Subject Classification (2010): 35K90, 35K86, 35Q74, 47J35, 49S05, 65J08, 65Z05, 74A30, 74A15, 74C05, 74C15, 74F05, 74M15, 74N30, 74R05 Springer New York Heidelberg Dordrecht London © Springer Science+Business Media New York 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 Science+Business Media LLC New York is part of Springer Science+Business Media (www. springer.com)
To the memory of my parents, Elli and Eduard Mielke. To the memory of my father, Hanuš Roubíˇcek, and all those who lost their lives to give him, like only a few others, a chance to survive the Holocaust, specifically to the memory of 5862 children aged under ten whom their parents sacrificed on September 4, 1942, in Litzmannstadt / Łód´z and dozens of Czechoslovak physicians and nurses who
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