Foundations of Fluid Dynamics
This monograph on fluid mechanics is not only a superb and unique textbook but also an impressive piece of research. The author writes from the vantage point of a mathematical physicist: Having in mind the important applications and approximation techniqu
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Springer-Verlag Berlin Heidelberg GmbH Physics and Astronomy
ONLINE LIBRARY
http://www.springer.de/phys/
Giovanni Gallavotti
Foundations of Fluid Dynamics With 41 Figures and 400 Problems
i
Springer
Professor Giovanni Gallavotti Dipartimento di Fisica, I.N.F.N. Universita degli Studi di Roma "La Sapienza" Piazzale Aldo Moro, 2 00185 Roma, Italy E-mail: giovanni. gallavot t i@romal . infn. it
Title of the Original Italian Edition: Ipotesi per una introduzione alia meccanica dei uidi. Published by the Consiglio Nazionale delle Ricerche. Gruppo Nazionale di Fisica Matematica. For the paperback copy of the revised Italian edition see: http://ipparco.romal.infn.it Library of Congress Cataloging-in-Publication Data Gallavotti. Giovanni. [Ipotesi per una introduzione alia meccanica dei uidi. English] Foundations of uid dynamics 1 Giovanni Gallavotti. p.cm. - (Texts and monographs in physics, ISSN 0172-5998) Includes bibliographical references and index. ISBN 978-3-642-07468-4 ISBN 978-3-662-04670-8 (eBook) DOI 10.1007/978-3-662-04670-8 I. Fluid dynamics. I. Title. II. Series. QA901 .G3513 2002 532'.05-dc21 2001034463
ISSN 0172-5998 ISBN 978-3-642-07468-4 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 micro 1m 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-Verlag. Violations are liable for prosecution under the German Copyright Law.
http://www.springer.de © Springer-Verlag Berlin Heidelberg 2002 Originally published by Springer-Verlag Berlin Heidelberg New York in 2002 Softcover reprint of the hardcover 1st edition 2002
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. Typesetting by the author; Data conversion by PTP, Berlin Cover design: design & production GmbH, Heidelberg Printed on acid-free paper SPIN: 10678457 55/3141/di - 5 432 I 0
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Preface
The imagination is struck by the substantial conceptual identity between the problems met in the theoretical study of physical phenomena. It is absolutely unexpected and surprising, whether one studies equilibrium statistical mechanics, or quantum field theory, or solid state physics, or celestial mechanics, harmonic analysis, elasticity, general relativity or fluid mechanics and chaos in turbulence. So when in 1988 I was made chair of Fluid Mechanics at the Universita La Sapienza, not out of recognition of work I did on the subject (there was none) but, rather, to avoid my teaching mechanics, from which I could have a strong cultural
