Asymptotic methods in mechanics of solids
The construction of solutions of singularly perturbed systems of equations and boundary value problems that are characteristic for the mechanics of thin-walled structures are the main focus of the book. The theoretical results are supplemented by the anal
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Svetlana M. Bauer Sergei B. Filippov Andrei L. Smirnov Petr E. Tovstik Rémi Vaillancourt
167
Asymptotic Methods in Mechanics of Solids
International Series of Numerical Mathematics
ISNM International Series of Numerical Mathematics Volume 167 Managing Editors K.-H. Hoffmann, München, Germany G. Leugering, Erlangen-Nürnberg, Germany Associate Editors Z. Chen, Beijing, China R.H.W. Hoppe, Augsburg, Germany; Houston, USA N. Kenmochi, Chiba, Japan V. Starovoitov, Novosibirsk, Russia Honorary Editor J. Todd, Pasadena, USA†
More information about this series at www.birkhauser-science.com/series/4819
Svetlana M. Bauer Sergei B. Filippov Andrei L. Smirnov Petr E. Tovstik Rémi Vaillancourt •
•
Asymptotic Methods in Mechanics of Solids
Svetlana M. Bauer Faculty of Mathematics and Mechanics St. Petersburg State University St. Petersburg Russia
Petr E. Tovstik Faculty of Mathematics and Mechanics St. Petersburg State University St. Petersburg Russia
Sergei B. Filippov Faculty of Mathematics and Mechanics St. Petersburg State University St. Petersburg Russia
Rémi Vaillancourt Department of Mathematics and Statistics University of Ottawa Ottawa Canada
Andrei L. Smirnov Faculty of Mathematics and Mechanics St. Petersburg State University St. Petersburg Russia
Based on the Russian version: Асимптотические методы в механике твердого тела, ISBN 5-93972-475-2, © Regular and Chaotic Dynamics Publisher (R&C Dynamics) 2007. All rights reserved ISSN 0373-3149 ISSN 2296-6072 (electronic) International Series of Numerical Mathematics ISBN 978-3-319-18310-7 ISBN 978-3-319-18311-4 (eBook) DOI 10.1007/978-3-319-18311-4 Library of Congress Control Number: 2015939430 Mathematics Subject Classification (2010): 34Exx, 74Kxx, 35Pxx 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 M
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