(Texts in applied mathematics ) A. J. Chorin, J. E. Marsden-A mathematical introduction to fluid mechanics, Second Edition -Springer-Verlag (1990).pdf

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A Mathematical Introduction
to Fluid Mechanics
Alexandre Chorin
Department of Mathematics
University of California, Berkeley
Berkeley, California 94720-3840, USA
Jerrold E. Marsden
Control and Dynamical Systems, 107-81
California Institute of Technology
Pasadena, California 91125, USA
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A Mathematical Introduction
to Fluid Mechanics
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Library of Congress Cataloging in Publication Data
Chorin, Alexandre
A Mathematical Introduction to Fluid Mechanics, Third Edition
(Texts in Applied Mathematics)
Bibliography: in frontmatter
Includes.
1. Fluid dynamics (Mathematics) 2. Dynamics (Mathematics)
I. Marsden, Jerrold E. II. Title. III. Series.
ISBN 0-387 97300-1
American Mathematics Society (MOS) Subject Classification (1980): 76-01, 76C05,
76D05, 76N05, 76N15
Copyright 1992 by Springer-Verlag pany, Inc.
All rights reserved. No part of this publication may be reproduced, stored in a
retrieval system, or transmitted, in any or by any means, electronic, mechanical,
photocopying, recording, or otherwise, without the prior written permission of
the publisher, Springer-Verlag pany, Inc., 175 Fifth Avenue, New
York, . 10010.
Typesetting and illustrations prepared by June Meyermann, Gregory Kubota,
and Wendy McKay
The cover illustration shows puter simulation of a shock diffraction by
a pair of cylinders, by John Bell, Phillip Colella, William Crutchfield, Richard
Pember, and Michael e.
The corrected fourth printing, April 2000.
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Series Preface Page (to be inserted)
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Preface
This book is based on a one-term course in fluid mechanics originally taught
in the Department of Mathematics of the University of California, Berkeley,
during the spring of 1978. The goal of the course was not to provide an
exhaustive account of fluid mechanics, nor to assess the engineering value
of various approximation procedures. The goals were:
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