Mathematical Aspects of Fluid and Plasma Dynamics Proceedings of an

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1460 G. Toscani

V. Boffi S. Rionero (Eds.)

Mathematical Aspects of Fluid and Plasma Dynamics Proceedings of an International Workshop held in Salice Terme, Italy, 26-30 September 1988

Springer-Verlag Berlin Heidelberg New York London Paris Tokyo Hong Kong Barcelona Budapest

Lecture Notes in Mathematics Edited by A. Dold, B. Eckmann and F. Takens

1460 G. Toscani

V. Boffi S. Rionero (Eds.)

Mathematical Aspects of Fluid and Plasma Dynamics Proceedings of an International Workshop held in Salice Terme, Italy, 26-30 September 1988

Springer-Verlag Berlin Heidelberg New York London Paris Tokyo Hong Kong Barcelona Budapest

Editors

Giuseppe Toscani Dipartimento di Matematica Universita de Ferrara 44100 Ferrara, Italy Vinicio Boffi Dipartimento di Modelli e Metodi Matematici per Ie Scienze Applicate Universita di Roma "La Sapienza" 00161 Roma, Italy Salvatore Rionero Dipartimento di Matematica Universita degli Studi 80134 Napoli, Italy

Mathematics Subject Classification (1980): 76P05, 82A40, 76D05 ISBN 3-540-53545-4 Springer-Verlag Berlin Heidelberg New York ISBN 0-387-53545-4 Springer-Verlag New York Berlin Heidelberg

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© Springer-Verlag Berlin Heidelberg 1991 Printed in Germany Printing and binding: Druckhaus Beltz, Hemsbach/Bergstr. 2146/3140-543210 - Printed on acid-free paper

PREFACE These p r-oc e e d i na s

record the main lectures

I(iven at

the

third

International Workshop on Mathematical Aspects of Fluid and Plasma Dynamics.

held

september Council

30. of

in

Salice

1988.

the

The

Research

Terme

(Italyl

Workshop

was

(C.N.R. l,

from

september

sponsored by

the

by

the

National

26

to

National Group

of

Mathematical Physics (G.N.F.M. l. by the University of Pavia and by the Institute of Numerical Analysis of C.N.R.

(I.A.N. l. There were

80 participants from 8 countries. The scientific prOl'(ram comprised 18 main lectures and 17 contributed communications. The main objective of the Workshop, followin. the first one held in Trieste. Italy, from May 30 to June 2, 1984, and the second one held in Paris-Orsay from June 24 to June 28, 1986, was to develop discussions

between plasma theorists,

applied mathematicians and

numerical analists involved in plasma physics, kinetic

theory,

theory.

This

considered

with

involved

emphasis a

approximations

on

questioning; and

fluid dynamics and

mathematical of

solution

the

aspects

basis

methods.

as

of

equations. well

as

the of the

analysis of mathematical structures u