Functional Approach to Nonlinear Models of Water Flow in Soils
... a pure mathematician does what he can do as well as he should, whilst an applied mathematician does what he should do as well as he can... (Gr. C. Moisil Romanian mathematician, 1906-1973) Flows in porous media were initially the starting point for th
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FUNCTIONAL APPROACH TO NONLINEAR MODELS OF WATER FLOW IN SOILS Gabriela Marinoschi
Functional Approach to Nonlinear Models of Water Flow in Soils
MATHEMATICAL MODELLING: Theory and Applications VOLUME 21 This series is aimed at publishing work dealing with the definition, development and application of fundamental theory and methodology, computational and algorithmic implementations and comprehensive empirical studies in mathematical modelling. Work on new mathematics inspired by the construction of mathematical models, combining theory and experiment and furthering the understanding of the systems being modelled are particularly welcomed. Manuscripts to be considered for publication lie within the following, non-exhaustive list of areas: mathematical modelling in engineering, industrial mathematics, control theory, operations research, decision theory, economic modelling, mathematical programmering, mathematical system theory, geophysical sciences, climate modelling, environmental processes, mathematical modelling in psychology, political science, sociology and behavioural sciences, mathematical biology, mathematical ecology, image processing, computer vision, artificial intelligence, fuzzy systems, and approximate reasoning, genetic algorithms, neural networks, expert systems, pattern recognition, clustering, chaos and fractals. Original monographs, comprehensive surveys as well as edited collections will be considered for publication. Editor: R. Lowen (Antwerp, Belgium)
Editorial Board: J.-P. Aubin (Université de Paris IX, France) E. Jouini (Université Paris IX - Dauphine, France) G.J. Klir (New York, U.S.A.) P.G. Mezey (Saskatchewan, Canada) F. Pfeiffer (München, Germany) A. Stevens (Max Planck Institute for Mathematics in the Sciences, Leipzig, Germany) H.-J. Zimmerman (Aachen, Germany)
The titles published in this series are listed at the end of this volume.
Functional Approach to Nonlinear Models of Water Flow in Soils by
Gabriela Marinoschi Institute of Mathematical Statistics and Applied Mathematics, Romanian Academy, Bucharest, Romania
A C.I.P. Catalogue record for this book is available from the Library of Congress.
ISBN-10 ISBN-13 ISBN-10 ISBN-13
1-4020-4879-3 (HB) 978-1-4020-4879-1 (HB) 1-4020-4880-7 (e-book) 978-1-4020-4880-7 (e-book)
Published by Springer, P.O. Box 17, 3300 AA Dordrecht, The Netherlands. www.springer.com
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All Rights Reserved © 2006 Springer No part of this work may be reproduced, stored in a retrieval system, or transmitted in any form or by any means, electronic, mechanical, photocopying, microfilming, recording or otherwise, without written permission from the Publisher, with the exception of any material supplied specifically for the purpose of being entered and executed on a computer system, for exclusive use by the purchaser of the work. Printed in the Netherlands.
Contents
Foreword . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ix Introduction-motivation . . . . . . . . . .
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