The Navier-Stokes Equations Theory and Numerical Methods Proceedings
These proceedings contain original (refereed) research articles by specialists from many countries, on a wide variety of aspects of Navier-Stokes equations. Additionally, 2 survey articles intended for a general readership are included: one surveys the pr
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1431 J.G. Heywood K. Masuda R. Rautmann VA Solonnikov (Eds.)
The Navier-Stokes Equations Theory and Numerical Methods Proceedings of a Conference held at Oberwolfach, FRG , Sept. 18 - 24 , 1988
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Lecture Notes in Mathematics Edited by A. Dold, B. Eckmann and F. Takens
1431 J.G. Heywood K. Masuda R. Rautmann VA Solonnikov (Eds.)
The Navier-Stokes Equations Theory and Numerical Methods Proceedings of a Conference held at Oberwolfach, FRG , Sept. 18 - 24 , 1988
Springer-Verlag Berlin Heidelberg New York London Paris Tokyo Hong Kong Barcelona
Editors
John G. Heywood Dept. of Mathematics, University of British Columbia # 121-1984 Mathematics Rd., Vancouver B.C. V6T 1Y4, Canada Kyuya Masuda Dept. of Mathematics, University of Tokyo Hongo, Tokyo 113, Japan Reimund Rautmann Dept. of Mathematics, University of Paderborn Warburger Str. 100,4790 Paderborn, Germany Vsevolod A. Solonnikov Mathematical Institute of the Academy of Sciences of the USSR Fontanka 27, Leningrad 191011, USSR
Mathematics Subject Classification (1980): 35010, 76D05; 35A05, 35A07, 35A35, 35A40, 31B20, 35B25,35B30,35B32,35B35, 35B40,35B45, 35B65, 35C15, 35K22, 35R35, 45D05, 45L05, 45L 10, 65J15, 65M25, 65M30, 65N30, 65R20,68J05, 76D05, 76D10, 76E15, 76E30, 76N10, 76N15, 76R10, 76V05, 76Z10, 82A50 ISBN 3-540-52770-2 Springer-Verlag Berlin Heidelberg New York ISBN 0-387-52770-2 Springer-Verlag New York Berlin Heidelberg
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© Springer-Verlag Berlin Heidelberg 1990 Printed in Germany Printing and binding: Druckhaus Beltz, Hemsbach/Bergstr. 2146/3140-543210 - Printed on acid-free paper
This volume is dedicated to
the memory of
Professor Konstantin I. ( t 1987)
Babenko
and Professor Lamberto Cattabriga (t
1989)
Preface
The organizers of this first conference on the Navier-Stokes equations at Oberwolfach were J.G. Heywood, K. Masuda, R.Rautmann ,and V.A. Solonnikov. Forty-four participants (including 7 from Japan and 9 from the USSR) discussed new results which were presented in 43 lectures, additional talks, and movies. These results concerned many aspects of the Navier-Stokes theory, including problems in unbounded domains, free boundary problems, problems for compressible and viscoelastic fluids, the theory of stability and attractors, and recent advances in numerical methods of flow computation based on new theoretical approaches. The organizers thank Professor Barner and the members of the Forsch
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