Trends in Differential Equations and Applications

This work collects the most important results presented at the Congress on Differential Equations and Applications/Congress on Applied Mathematics (CEDYA/CMA) in Cádiz (Spain) in 2015. It supports further research in differential equations, numerical anal

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s in Differential Equations and Applications

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SEMA SIMAI Springer Series Series Editors: Luca Formaggia • Pablo Pedregal (Editors-in-Chief) Amadeu Delshams • Jean-Frédéric Gerbeau • Carlos Parés • Lorenzo Pareschi • Andrea Tosin • Elena Vazquez • Jorge P. Zubelli • Paolo Zunino Volume 8

More information about this series at http://www.springer.com/series/10532

Francisco Ortegón Gallego • María Victoria Redondo Neble • José Rafael Rodríguez Galván Editors

Trends in Differential Equations and Applications

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Editors Francisco Ortegón Gallego Departamento de Matemáticas Universidad de Cádiz Puerto Real, Spain

María Victoria Redondo Neble Departamento de Matemáticas Universidad de Cádiz Puerto Real, Spain

José Rafael Rodríguez Galván Departamento de Matemáticas Universidad de Cádiz Puerto Real, Spain

ISSN 2199-3041 SEMA SIMAI Springer Series ISBN 978-3-319-32012-0 DOI 10.1007/978-3-319-32013-7

ISSN 2199-305X (electronic) ISBN 978-3-319-32013-7 (eBook)

Library of Congress Control Number: 2016941343 © Springer International Publishing Switzerland 2016 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 This Springer imprint is published by Springer Nature The registered company is Springer International Publishing AG Switzerland

Preface

During recent years applied mathematics techniques have attained considerable dissemination within the experimental sciences and engineering. Special attention has been devoted to biomathematics and medicine, including the analysis of mathematical models for the description of tumors, blood flux in arteries, the heart and flow patterns inside an aneurysm dome. A significant element of this dissemination also derives from the applications of mathematics in industry. International meetings such as those of the European Consortium for Mathematics in Industry (ECMI) and the International Council for Industrial and Applied Mathematics (ICIAM) bear witness to these advances. In Spain, various research groups