New Directions in Mathematical Fluid Mechanics The Alexander V. Kazh
On November 3, 2005, Alexander Vasil’evich Kazhikhov left this world, untimely and unexpectedly. He was one of the most in?uential mathematicians in the mechanics of ?uids, and will be remembered for his outstanding results that had, and still have, a c-
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John G. Heywood Department of Mathematics University of British Columbia Vancouver BC Canada V6T 1Y4 e-mail: [email protected]
Rolf Rannacher Institut für Angewandte Mathematik Universität Heidelberg Im Neuenheimer Feld 293/294 69120 Heidelberg Germany e-mail: [email protected]
Advances in Mathematical Fluid Mechanics is a forum for the publication of high quality monographs, or collections of works, on the mathematical theory of fluid mechanics, with special regards to the Navier-Stokes equations. Its mathematical aims and scope are similar to those of the Journal of Mathematical Fluid Mechanics. In particular, mathematical aspects of computational methods and of applications to science and engineering are welcome as an important part of the theory. So also are works in related areas of mathematics that have a direct bearing on fluid mechanics. The monographs and collections of works published here may be written in a more expository style than is usual for research journals, with the intention of reaching a wide audience. Collections of review articles will also be sought from time to time.
New Directions in Mathematical Fluid Mechanics The Alexander V. Kazhikhov Memorial Volume
Andrei V. Fursikov Giovanni P. Galdi Vladislav V. Pukhnachev Editors
Birkhäuser Basel · Boston · Berlin
Editors: Andrei V. Fursikov Department of Mechanics and Mathematics Moscow State University Vorob’evy Gory 119991 Moscow Russia e-mail: [email protected]
Giovanni P. Galdi Department of Mechanical Engineering and Materials Science University of Pittsburgh 630 Benedum Engineering Hall Pittsburgh, PA 15261 USA e-mail: [email protected]
Vladislav V. Pukhnachev Lavrentyev Institute of Hydrodynamics Lavrentyev prospect 15 630090 Novosibirsk Russia e-mail: [email protected]
2000 Mathematics Subject Classification: 76 (76N, 76D, 76E, 76B), 35, 93, 49 Library of Congress Control Number: 2009935413 Bibliographic information published by Die Deutsche Bibliothek: Die Deutsche Bibliothek lists this publication in the Deutsche Nationalbibliografie; detailed bibliographic data is available in the internet at
ISBN 978-3-0346-0151-1 Birkhäuser Verlag, Basel – Boston – Berlin This work is subject to copyright. All rights are reserved, whether the whole or part of the material is concerned, specifically the rights of translation, reprinting, re-use of illustrations, recitation, broadcasting, reproduction on microfilms or in other ways, and storage in data banks. For any kind of use permission of the copyright owner must be obtained. © 2010 Birkhäuser Verlag, P.O. Box 133, CH-4010 Basel, Switzerland Part of Springer Science+Business Media Printed on acid-free paper produced from chlorine-free pulp. TCF ∞ Printed in Germany ISBN: 978-3-0346-0151-1
e-ISBN: 978-3-0346-0152-8
987654321
www.birkhauser.ch
Contents Preface . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
vii
Scientific Portrait of Alexander Vasilievich Kazhikhov . . . . . . . . . .
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