Kinetic Theory and Fluid Dynamics
This monograph is intended to provide a comprehensive description of the rela tion between kinetic theory and fluid dynamics for a time-independent behavior of a gas in a general domain. A gas in a steady (or time-independent) state in a general domain i
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HG. Othmer(Mathematical Biology) Department of Mathematics University of Minnesota 270A Vincent Hall Minneapolis, MN 55455, USA
avellaneda~cims.nyu.edu
othmer~math.umn.edu
K.J. Bathe (Solid Mechanics) Department of Mechanical Engineering Massachusetts Institute ofTechnology Cambridge, MA 02139, USA
L. Preziosi(lndustrial Mathematics) Dipartimento di Matematica Politecnico di Torino Corso Duca degli Abruzzi 24 10129 Torino, Italy
kjb~it.edu
P. Oegond (Semiconductor & Transport Modeling)
preziosi~polito.it
MathEimatiques pour l'lndustrie et la Physique Universite P. Sabatier Toulouse 3 118 Route de Narbonne 31062 Toulouse Cedex, France
V. Protopopescv(Competitive Systems, Epistemology) CSMD Oak Ridge National Laboratory Oak Ridge, TN 37831-6363, USA
degond~mip.ups-tlse.fr
vvp~epmnas,epm,ornl.gov
M.A. Herrero Garcia (Mathematical Methods) Departamento de Matematica Aplicada Universidad Complutense de Madrid Avenida Complutense sin 28040 Madrid, Spain
K.R. Rajagopal(Multiphase Flows) Department of Mechanical Engineering A&M University College Station, TX 77843, USA KRajagopal~mengr.tamu.edu
herrero~sunma4.mat.ucm.es
w. Kuemann (Stochastic Modeling)
Department of Mathematics Iowa State University 400 Carver Hall Ames, IA 50011, USA
kliemann~iastate.edu
Y. Sone (Fluid Dynamics in Engineering Sciences) Professor Emeritus Kyoto University 230-133 Iwakura-Nagatani-cho Sakyo-ku Kyoto 606-0026, Japan sone~yoshio.mbox,media,kyoto-u.ac,jp
Yoshio Sone
Kinetic Theory and Fluid Dynalllics
Springer Science+Business Media, LLC
Yoshio Sone Professor Emeritus Kyoto University 230-133 Iwakura-Nagatani-cho Sakyo-ku Kyoto 606-0026 Japan Library of Congress Cataloging-in-Publication Data Sone, Yoshio, 1936Kinetie theory and fluid dynamies / Yoshio Sone. p. em. - (Modeling and simulation in scienee, engineering and teehnology) Inc1udes bibliographieal referenees and index. ISBN 978-1-4612-6594-8 ISBN 978-1-4612-0061-1 (eBook) DOI 10.1007/978-1-4612-0061-1 1. Kinetie theory of gases. 2. Fluid dynamies. 1. Title. II. Modeling and simulation in seienee, engineering & teehnology. QC175.S663 2002 533'.7-de21
2002071059 CIP
AMS Subjeet Classifieations: Primary: 76P05, 76A02, 82C40, 82C70, 35Q99, 35Q35, 35Q30; Seeondary: 76-01,76-02, 76M99, 76M45, 76N15, 76N20, 76D06, 76T99, 45K05, 45L05, 41A60, 65M99
Printed on acid-free paper. ©2002 Springer Science+Business Media New York Originally published by Birkhăuser Boston in 2002 Softcover reprint ofthe hardcover Ist edition 2002 AlI rights reserved. This work may not be translated or copied in whole or in part without the written pennission of the publisher (Springer Science+Business Media, LLC), except for brief excerpts in connection with reviews or scholarly analysis. Use in connection with any form of information storage and retrieval, electronic adaptation, computer software, or by similar or dissimilar methodology now known or hereafter developed is forbidden. The use of general descriptive narnes, trade names, trademarks, etc., in this publication, even if the former
