Innovative Algorithms and Analysis
This volume gathers contributions reflecting topics presented during an INDAM workshop held in Rome in May 2016. The event brought together many prominent researchers in both Mathematical Analysis and Numerical Computing, the goal being to promote interdi
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Laurent Gosse Roberto Natalini Editors
Innovative Algorithms and Analysis
Springer INdAM Series Volume 16
Editor-in-Chief G. Patrizio Series Editors C. Canuto G. Coletti G. Gentili A. Malchiodi P. Marcellini E. Mezzetti G. Moscariello T. Ruggeri
More information about this series at http://www.springer.com/series/10283
Laurent Gosse • Roberto Natalini Editors
Innovative Algorithms and Analysis
123
Editors Laurent Gosse Istituto per le Applicazioni del Calcolo CNR Rome, Italy
ISSN 2281-518X Springer INdAM Series ISBN 978-3-319-49261-2 DOI 10.1007/978-3-319-49262-9
Roberto Natalini Istituto per le Applicazioni del Calcolo CNR Rome, Italy
ISSN 2281-5198 (electronic) ISBN 978-3-319-49262-9 (eBook)
Library of Congress Control Number: 2017934879 © Springer International Publishing AG 2017 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. The publisher remains neutral with regard to jurisdictional claims in published maps and institutional affiliations. Printed on acid-free paper This Springer imprint is published by Springer Nature The registered company is Springer International Publishing AG The registered company address is: Gewerbestrasse 11, 6330 Cham, Switzerland
Foreword
This book attempts to provide a fresh perspective on the well-posedness of hyperbolic models by highlighting some open questions and how some of them appear or are treated in similar instances. These issues were discussed at a workshop entitled Innovative Algorithms and Analysis held at INdAM (Rome) between 17th and 20th May 2016 and organized by Laurent Gosse and Roberto Natalini. The hope of the organizers was that the diversity of the invited speakers would help to identify common themes in the study of nonclassical solutions to degenerate hyperbolic problems, balance laws with nonlocal source terms, and weak admissible solutions to conservation laws in multiple space dimensions. The theory of hyperbolic conservation laws has matured significantly since the groundbreaking work of Bressan
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