Bifurcation and Nonlinear Eigenvalue Problems Proceedings, Universit
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782 Bifurcation and Nonlinear Eigenvalue Problems
Proceedings, Universite de Paris XIlI, Villetaneuse, France, October 2-4, 1978
Edited by
C. Bardos, J. M. Lasry, and M. Schatzman
Springer-Verlag Berlin Heidelberg New York 1980
Editors C. Bardos D6partement de Math6matiques Universite Paris-Nord Avenue J. B. Clement 9 3 4 3 0 Villetaneuse France J, M. Lasry CEREMADE Universit~ de Paris 9 - Dauphine 75775 Paris Cedex 16 France M, Schatzman Analyse Numerique Tour 5 5 - 6 5 5eme ~tage Universite Pierre et Marie Curie ?5230 Paris Cedex 05 France
A M S Subject Classifications (1980): 35 G 20 ISBN 3 - 5 4 0 - 0 9 ? 5 8 - 9 Springer-Verlag Berlin Heidelberg New York ISBN 0 - 3 8 7 - 0 9 7 5 8 - 9 Springer-Verlag New York Heidelberg Berlin Library of Congress Cataloging in Publication Data, Main entry under title: Bifurcation and nonlinear eigenvalue problems, (Lecture notes in mathematics; 782) Bibliography: p. Includes index. 1. Differential equations, Partial--Congresses.2. Differential equations, Nonlinear--Congresses.3. Eigenvalues--Congresses.4. Bifurcation theory--Congresses. I. Bardos, Claude, 1940- II. Lasry, J. M. III. Schatzman,M. IV. Series: Lecture notes in mathematics (Berlin; 782, QA3.L28 no. 782 [QA374] 510s [515.3'53] 80-11358 ISBN 0-387-09758-9 This work is subject to copyright. All rights are reserved, whether the whole or part of the material is concerned, specifically those of translation, reprinting, re-use of illustrations, broadcasting, reproduction by photocopying machine or similar means, and storage in data banks. Under § 54 of the German Copyright Law where copies are made for other than private use, a fee is payable to the publisher, the amount of the fee to be determined by agreement with the publisher. © by Springer-Verlag Berlin Heidelberg 1980 Printed in Germany Printing and binding: Beltz Offsetdruck, Hemsbach/Bergstr. 2141/3140-543210
PREFACE
+ This volume contains the notes of a session organized on October 2,3 and 4,1978
at the Departement of Mathematics of the University Paris 13 ,Centre Scientifique et
Polytechnique ,Villetaneuse.
The aim of this session was to gather mathematicians and scientists of other
fields :chemistry,biology ,physics and astrophysics, and to let them exchange information
and methods.
The common points to all the lectures are partial differential equations,non
linear phenc~9/~a,study of the dependence with respect to a parameter,and the methods
used are very diverse.
The lectures can be classified into three groups according to their relation
to applied science : papers belonging to the first cluster deal with a phenomenolo-
gical approach;in this case,a conplete system of equations describing the experimen-
tal phenomenon is either too oonplicated or not entirely known and understood;therefore,a simpler system is studied which mimicks the behavior of the complete system,
and one expects qualitative results.Here belong the talks of J.Heyvaerts,J.M.Lasry,
M.Schatzman & P.Witomski,of G.Iooss,of J.P.Kernevez,G.Joly,D.Thomas & B.Bunow,and of
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