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"Lecture Notes of the Unione Matematica Italiana", Editorial Board: Franco Brezzi (Editor in Chief) Dipartimento di Matematica Università di Pavia Via Ferrata 1 27100 Pavia, Italy e-mail: brezzi@imati.cnr.it John M. Ball Mathematical Institute 24-29 St Giles Oxford OX1 3LB United Kingdom e-mail: ball@maths.ox.ac.uk Alberto Bressan Department of Mathematics Penn State University University Park State College PA. 16802, USA e-mail: bressan@math.psu.edu Fabrizio Catanese Mathematisches Institut Universitätsstrasse 30 95447 Bayreuth, Germany e-mail: fabrizio.catanese@uni-bayreuth.de Carlo Cercignani Dipartimento di Matematica Politecnico di Milano Piazza Leonardo da Vinci 32 20133 Milano, Italy e-mail: carcer@mate.polimi.it Corrado De Concini Dipartimento di Matematica Università di Roma "La Sapienza" Piazzale Aldo Moro 2 00133 Roma, Italy e-mail: deconcini@mat.uniroma1.it Persi Diaconis Department of Statistics Stanford University Stanford, CA 94305-4065, USA e-mail: diaconis@math.stanford.edu, tagaman@stat.stanford.edu Nicola Fusco Dipartimento di Matematica e Applicazioni Università di Napoli "Federico II", via Cintia Complesso Universitario di Monte S.Angelo 80126 Napoli, Italy e-mail n.fusco@unina.it Carlos E. Kenig Department of Mathematics University of Chicago 1118 E 58th Street, University Avenue Chicago IL 60637, USA e-mail: cek@math.uchicago.edu Fulvio Ricci Scuola Normale Superiore di Pisa Piazza dei Cavalieri 7 56126 Pisa, Italy e-mail: fricci@sns.it Gerard Van der Geer Korteweg-de Vries Instituut Universiteit van Amsterdam Plantage Muidergracht 24 1018 TV Amsterdam, The Netherlands e-mail: geer@science.uva.nl Cdric Villani Ecole Normale Supérieure de Lyon 46, allée d'Italie 69364 Lyon Cedex 07 France e-mail: cvillani@umpa.ens-lyon.fr The Editorial Policy can be found at the back of the volume. Luc Tartar An Introduction to Navier-Stokes Equation and Oceanography Author: Luc Tartar Department of Mathematical Sciences Carnegie Mellon University Pittsburgh, PA 15213-3890 USA Library of Congress Control Number: 2006928046 Mathematics Subject Classification (2000): 35-x x , 76-x x ISSN print edition: 1862-9113 ISSN electronic edition: 1862-9121 ISBN-10 ISBN-13 3-540-35743-2 Springer Berlin Heidelberg New York 978-3-540-35743-8 Springer Berlin Heidelberg New York 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. 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