Collection of papers on geometry, analysis and mathematical physics : in honor of Professor Gu Chaohao

185 Pages·1997·61.155 MB·English

by  Daqian Li, Chaohao Gu (ed.)

Collection of Papers on
Geometry, Analysis and
Mathematical Physics
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Collection of
Papers on
Geometry,
Analysis and
Mathematical
Physics
In Honor of Professor Gu Chaohao
Editor
Li Ta-Tsien
Fudan University, China
World Scientific
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Published by
World Scientific Publishing Co. Pte. Ltd.
P O Box 128, Farrer Road, Singapore 912805
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British Library Cataloguing-in-Publication Data
A catalogue record for this book is available from the British Library.
Collection of Papers on
GEOMETRY, ANALYSIS AND MATHEMATICAL PHYSICS
Copyright © 1997 by World Scientific Publishing Co. Pte. Ltd.
All rights reserved. This book, or parts thereof, may not be reproduced in any form or by any means,
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ISBN 981-02-3024-9
This book is printed on acid-free paper.
Printed in Singapore by Uto-Print
"/ *
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VII
Preface
This collection of papers is compiled in honor of Professor Gu
Chaohao, a renowned mathematician and Member of the Chinese
Academy of Sciences, on the occasion of his 70th birthday and his
50th year of educational work. "Analysis, Geometry and Mathe­
matical Physics", the subjects covered by this collection, are closely
related to differential geometry, partial differential equations and
mathematical physics — the major areas in which Professor Gu
has scored notable achievements.
We would like to express our heartfelt thanks to those who
kindly contribute their papers to this collection. Many of these dis­
tinguished mathematicians are close friends, colleagues and collab­
orators of Professor Gu. This fact itself is an indication of Professor
Gu's widespread influence and high prestige in the mathematical
community. We also thank Ms. Xue Mi of Fudan University for
her enthusiastic and effective work in editing the collection.
We dedicate this collection to Professor Gu Chaohao, and wish
him good health, a long life and ever greater success in his work.
He will always be remembered with infinite gratitude and affection
for his contribution to the development of mathematical science.
May 1996 Li Ta-tsien
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IX
Contents
Preface vii
Gu Chao-hao and I 1
C. N. Yang
Professor Gu Chaohao's notable achievements in his
academic career 2
T. T. Li
List of publications of Professor Gu Chaohao 6
A global existence theorem for ultra relativistic fluids
on Minkowski space time 14
Y. Choquet-Bruhat
Asymptotic analysis of elastic shells 23
P. G. Ciarlet
Generalized solutions defined by Lebesque-Stieltjes integrals 33
X. X. Ding
Automorphisms of the circle — and Teichmiiller theory 44
J. Bells
Nonlinear relativistic wave equations in general dimensions 53
M. Flato, D. Sternheimer, J. C. H. Simon and E. Taflin
Remarks on the domain-dependence of convergence rate
of iterations in a certain domain decomposition method
- Analysis by the Steklov-Poincare operator 71
H. Fujita
Analysis of Ginzburg-Landau model for superconductivity 85
L. S. Jiang and W. H. Yu
Compactification of moduli of vector bundles over
algebraic surfaces 98
J. Li
Analysis on singular spaces 114
F. H. Lm
X
Superclose and superconvergence for triangular elements 127
Q. Lin, N. N. Yan and J. M. Zhou
A generic result of approximate controllability 144
J. L. Lions
Plate elements with high accuracy 155
Z. C. Shi, S. C. Chen and H. C. Huang
Asymptotic analysis of the linearized Navier-Stokes equation
in a 2d channel at high Reynolds number 165
R. Temam and X. M. Wang
A note on the distribution of critical points of eigenfunctions 173
S. T. Yau