An Introduction to Fronts in Random Media
This book gives a user friendly tutorial to Fronts in Random Media, an interdisciplinary research topic, to senior undergraduates and graduate students in the mathematical sciences, physical sciences and engineering. Fronts or interface motion occur in a
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Surveys and Tutorials in the Applied Mathematical Sciences Volume 5 Editors S.S. Antman, J.E. Marsden, L. Sirovich Mathematics is becoming increasingly interdisciplinary and developing stronger interactions with fields such as biology, the physical sciences, and engineering. The rapid pace and development of the research frontiers has raised the need for new kinds of publications: short, up-to-date, readable tutorials and surveys on topics covering the breadth of the applied mathematical sciences. The volumes in this series are written in a style accessible to researchers, professionals, and graduate students in the sciences and engineering. They can serve as introductions to recent and emerging subject areas and as advanced teaching aids at universities. In particular, this series provides an outlet for material less formally presented and more anticipatory of needs than finished texts or monographs, yet of immediate interest because of the novelty of their treatments of applications, or of the mathematics being developed in the context of exciting applications. The series will often serve as an intermediate stage of publication of materials which, through exposure here, will be further developed and refined to appear later in one of Springer’s more formal series in applied mathematics.
Jack Xin
An Introduction to Fronts in Random Media
Jack Xin Department of Mathematics University of California, Irvine Irvine, CA 926 97 USA [email protected]
Editors: S.S. Antman Department of Mathematics and Institute for Physical Science and Technology University of Maryland College Park MD 20742-4015 USA [email protected]
J.E. Marsden Control and Dynamical System, 107-81 California Institute of Technology Pasadena, CA 91125 USA [email protected]
L. Sirovich Laboratory of Applied Mathemaics Department of Bio-Mathematical Sciences Mount Sinai School of Medicine New York, NY 10029-6574 USA [email protected]
ISBN 978-0-387-87682-5 e-ISBN 978-0-387-87683-2 DOI 10.1007/978-0-387-87683-2 Springer Dordrecht Heidelberg London New York Library of Congress Control Number: 2009926482 Mathematics Subject Classification (2000): 60H15, 60H30, 76M30, 76M50, 76M45 © Springer Science+Business Media, LLC 2009 All rights reserved. This work may not be translated or copied in whole or in part without the written permission of the publisher (Springer Science+Business Media, LLC, 233 Spring Street, New York, NY 10013, USA), except for brief excerpts in connection with reviews or scholarly analysis. Use in connection with any form of information storage and retrieval, electronic adaptation, computer software, or by similar or dissimilar methodology now known or hereafter developed is forbidden. The use in this publication of trade names, trademarks, service marks, and similar terms, even if they are not identified as such, is not to be taken as an expression of opinion as to whether or not they are subject to proprietary rights. Printed on acid-free
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