文档介绍:Binzburg-Landau Vortices
Series in Contemporary Applied mathematics CAM
Honorary Editor: Chao-Hao Gu (Fudan University)
Editors: P. G. Ciarlet (City University of Hong Kong),
Tatsien Li (Fudan University)
1. Mathematical Finance Theory and Practice
(Eds. Yong Jiongmin, Rama Cont)
2. New Advances putational Fluid Dynamics
Theory, Methods and Applications
(Eds. F. Dubois, Wu Huamo)
3. Actuarial Science Theory and Practice
(Eds. Hanji Shang, Alain Tosseti)
4. Mathematical Problems in Environmental Science and
Engineering
(Eds. Alexandra Ern, Liu Weiping)
5. Ginzburg-Landau Vortices
(Eds. Haim Brezis, Tatsien Li)
Series in Contemporary Applied Mathematics CAM 5
Ginzburg-Landau Vortices
editors
HaVm BREZIS
Universite Pierre et Marie Curie, France
Tatsien Li
Fudan University, China
Higher Education Press
World Scientific
Hai'm Brezis Tatsien Li
Analyse Numerique Department of Mathematics
Universite Pierre et Marie Curie Fudan University
4, place Jussieu 220, Handan Road
75252 Paris cedex 05, Shanghai, 200433,
France China
Ginzburg-Landau $$ =Ginzburg-Landau Vortices/
(SO ^n^rm (Brezis,H.), ^^C?g(Li,Tatsien)^.
-itM-. ^^icWtll)i6tt,
ISBN 7-04-016141-9
i .G... n.©^...©#... #-^i
IV .0511
+ H){S*a^ttCIPt5:|g^^ (2004) ^125888^-
Copyright © 2005 by
Higher Education Press
4 Dewai Dajie, Beijing 100011, P. R. China, and
World Scientific Publishing Co Pte Ltd
5 Toh Tuck Link, Singapore 596224
All rights reserved. No part of this book may be reproduced or transmitted in any form
or by any means, electronic or mechanical, including photocopying, recording or by
any information storage and retrieval system, without permission in writing from the
Publisher.
ISBN 981-256-203-6
Printed in P. R. China
Preface
The Ginzburg-Landau equation is a nonlinear partial differential
equation which was proposed around 1950 as a mathematical model
of superconductors. Since then, it has e an extremely useful tool