Differential Geometry and Continuum Mechanics
This book examines the exciting interface between differential geometry and continuum mechanics, now recognised as being of increasing technological significance. Topics discussed include isometric embeddings in differential geometry and the relation with
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Gui-Qiang G. Chen Michael Grinfeld R.J. Knops Editors
Differential Geometry and Continuum Mechanics
Springer Proceedings in Mathematics & Statistics Volume 137
Springer Proceedings in Mathematics & Statistics This book series features volumes composed of selected contributions from workshops and conferences in all areas of current research in mathematics and statistics, including operation research and optimization. In addition to an overall evaluation of the interest, scientific quality, and timeliness of each proposal at the hands of the publisher, individual contributions are all refereed to the high quality standards of leading journals in the field. Thus, this series provides the research community with well-edited, authoritative reports on developments in the most exciting areas of mathematical and statistical research today.
More information about this series at http://www.springer.com/series/10533
Gui-Qiang G. Chen Michael Grinfeld R.J. Knops •
Editors
Differential Geometry and Continuum Mechanics
123
Editors Gui-Qiang G. Chen Mathematical Institute, Radcliffe Observatory Quarter University of Oxford Oxford UK
R.J. Knops School of Mathematical and Computer Sciences Heriot-Watt University Edinburgh UK
Michael Grinfeld Department of Mathematics and Statistics University of Strathclyde Glasgow UK
ISSN 2194-1009 ISSN 2194-1017 (electronic) Springer Proceedings in Mathematics & Statistics ISBN 978-3-319-18572-9 ISBN 978-3-319-18573-6 (eBook) DOI 10.1007/978-3-319-18573-6 Library of Congress Control Number: 2015938751 Mathematics Subject Classification (2010): 35-06, 35A30, 57Q35, 58-06, 58D10, 58D17, 58J32, 58J60, 58Z99, 74A60, 74B20, 74P20, 76A15 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
The peer reviewed c
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