Advances in Mathematical Fluid Mechanics Dedicated to Giovanni Paolo

This book is a unique collection of high-level papers devoted to fundamental topics in mathematical fluid mechanics and their applications, mostly in connection with the scientific work of Giovanni Paolo Galdi. The contributions are mainly centered on the

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Rolf Rannacher · Ad´elia Sequeira Editors

Advances in Mathematical Fluid Mechanics Dedicated to Giovanni Paolo Galdi on the Occasion of his 60th Birthday

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Editors Rolf Rannacher Institut f¨ur Angewandte Mathematik Universit¨at Heidelberg Im Neuenheimer Feld 293/294 69120 Heidelberg Germany [email protected]

Ad´elia Sequeira Department of Mathematics Centre for Mathematics and its Applications Instituto Superior T´ecnico/UTL Av. Rovisco Pais, 1 1049-001 Lisboa Portugal [email protected]

ISBN 978-3-642-04067-2 e-ISBN 978-3-642-04068-9 DOI 10.1007/978-3-642-04068-9 Springer Heidelberg Dordrecht London New York Library of Congress Control Number: 2010920233 c Springer-Verlag Berlin Heidelberg 2010  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, reuse of illustrations, recitation, broadcasting, reproduction on microfilm or in any other way, and storage in data banks. Duplication of this publication or parts thereof is permitted only under the provisions of the German Copyright Law of September 9, 1965, in its current version, and permission for use must always be obtained from Springer. Violations are liable to prosecution under the German Copyright Law. The use of general descriptive names, registered names, trademarks, 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. Cover illustration: Simulations performed by Otto Mierka/Stefan Turek based on FeatFlow (www.featflow.de) Cover design: WMXDesign GmbH, Heidelberg Printed on acid-free paper Springer is part of Springer Science+Business Media (www.springer.com)

Dedicated to Giovanni Paolo Galdi, on the occasion of his sixtieth birthday

Giovanni Paolo Galdi

Foreword

The present volume celebrates the 60th birthday of Professor Giovanni Paolo Galdi and honors his remarkable contributions to research in the field of Mathematical Fluid Mechanics. The book contains a collection of 35 peer reviewed papers, with authors from 20 countries, reflecting the worldwide impact and great inspiration by his work over the years. These papers were selected from invited lectures and contributed talks presented at the International Conference on Mathematical Fluid Mechanics held in Estoril, Portugal, May 21–25, 2007 and organized on the occasion of Professor Galdi’s 60th birthday. We express our gratitude to all the authors and reviewers for their important contributions. Professor Galdi devotes his career to research on the mathematical analysis of the Navier-Stokes equations and non-Newtonian flow problems, with special emphasis on hydrodynamic stability and fluid-particle interactions, impressing the worldwide mathematical communities with his results. His numerous contributions have laid down significant milestones in these fields, with a great influence on interdisciplinary re