Two-Phase Three-Component Flow in Porous Media: Mathematical Modeling of Dispersion-Free Pressure Behavior
Multiphase multicomponent flow in porous media is modeled by a system of nc parabolic equations, where nc is the number of components. Problem unknowns are phase components mass fractions, and pressure and saturation of each phase. Several constitutive re
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Computational and Analytic Methods in Science and Engineering
Computational and Analytic Methods in Science and Engineering
Christian Constanda Editor
Computational and Analytic Methods in Science and Engineering
Editor Christian Constanda The Charles W. Oliphant Professor of Mathematics The University of Tulsa Tulsa, OK, USA
ISBN 978-3-030-48185-8 ISBN 978-3-030-48186-5 (eBook) https://doi.org/10.1007/978-3-030-48186-5 Mathematics Subject Classification: 00B15, 74G10, 93E25 © Springer Nature Switzerland AG 2020 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, expressed 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. This book is published under the imprint Birkhäuser, www.birkhauser-science.com, by the registered company Springer Nature Switzerland AG. The registered company address is: Gewerbestrasse 11, 6330 Cham, Switzerland
Preface
The international conferences on Computational and Mathematical Methods in Science and Engineering (CMMSE) are annual events where professionals of a variety of denominations who use analytic and numerical methods of investigation communicate the most recent results of their research. The latest edition of this well-established series of meetings took place in the resort of Costa Ballena, Rota, Cadiz, Spain, June 30–July 6, 2019, and included a special session on the applications of integral methods to scientific developments in a variety of fields, such as pure analysis, numerical techniques, mathematical biology, petroleum engineering, and continuum mechanics. The chapters in this volume, arranged alphabetically by first author’s name, represent a collection of selected, peer-reviewed articles presented in that session. On behalf of the participants, I wish to express my appreciation to the organizing committee—in particular, to its chairman, Jesús Vigo Aguiar—for underwriting the success of the conference by providing an environment conducive to the forging of good int
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