Perspectives in Mathematical Sciences (Interdisciplinary Mathematical Sciences) PDF
Preview Perspectives in Mathematical Sciences (Interdisciplinary Mathematical Sciences)
Perspectives in Mathematical Sciences INTERDISCIPLINARY MATHEMATICAL SCIENCES Series Editor: Jinqiao Duan (Illinois Inst. of Tech., USA) Editorial Board: Ludwig Arnold, Roberto Camassa, Peter Constantin, Charles Doering, Paul Fischer, Andrei V. Fursikov, Sergey V. Lototsky, Fred R. McMorris, Daniel Schertzer, Bjorn Schmalfuss, Yuefei Wang, Xiangdong Ye, and Jerzy Zabczyk Published Vol. 1: Global Attractors of Nonautonomous Dissipative Dynamical Systems David N. Cheban Vol. 2: Stochastic Differential Equations: Theory and Applications A Volume in Honor of Professor Boris L. Rozovskii eds. Peter H. Baxendale & Sergey V. Lototsky Vol. 3: Amplitude Equations for Stochastic Partial Differential Equations Dirk Blömker Vol. 4: Mathematical Theory of Adaptive Control Vladimir G. Sragovich Vol. 5: The Hilbert–Huang Transform and Its Applications Norden E. Huang & Samuel S. P. Shen Vol. 6: Meshfree Approximation Methods with MATLAB Gregory E. Fasshauer Vol. 7: Variational Methods for Strongly Indefinite Problems Yanheng Ding Vol. 8: Recent Development in Stochastic Dynamics and Stochastic Analysis eds. Jinqiao Duan, Shunlong Luo & Caishi Wang Vol. 9: Perspectives in Mathematical Sciences eds. Yisong Yang, Xinchu Fu & Jinqiao Duan RokTing - Perspectives in Math'l Sciences.pmd2 11/11/2009, 5:01 PM Interdisciplinary Mathematical Sciences – Vol. 9 Perspectives in Mathematical Sciences Editors Yisong Yang Polytechnic Institute of New York University, USA Xinchu Fu Shanghai University, China Jinqiao Duan Illinois Institute of Technology, USA World Scientific NEW JERSEY • LONDON • SINGAPORE • BEIJING • SHANGHAI • HONG KONG • TAIPEI • CHENNAI Published by World Scientific Publishing Co. Pte. Ltd. 5 Toh Tuck Link, Singapore 596224 USA office: 27 Warren Street, Suite 401-402, Hackensack, NJ 07601 UK office: 57 Shelton Street, Covent Garden, London WC2H 9HE British Library Cataloguing-in-Publication Data A catalogue record for this book is available from the British Library. PERSPECTIVES IN MATHEMATICAL SCIENCES Interdisciplinary Mathematical Sciences — Vol. 9 Copyright © 2010 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, electronic or mechanical, including photocopying, recording or any information storage and retrieval system now known or to be invented, without written permission from the Publisher. For photocopying of material in this volume, please pay a copying fee through the Copyright Clearance Center, Inc., 222 Rosewood Drive, Danvers, MA 01923, USA. In this case permission to photocopy is not required from the publisher. ISBN-13 978-981-4289-30-6 ISBN-10 981-4289-30-2 Printed in Singapore. RokTing - Perspectives in Math'l Sciences.pmd1 11/11/2009, 5:01 PM November10,2009 15:3 WorldScientificReviewVolume-9.75inx6.5in PerspectivesMath Professor Youzhong Guo Novemb er 10, 2009 15:3 World Scientific Review Volume - 9.75in x 6.5in Persp ectives Math TThhiiss ppaaggee iinntteennttiioonnaallllyy lleefftt bbllaannkk November10,2009 15:3 WorldScientificReviewVolume-9.75inx6.5in PerspectivesMath Editorial Foreword This volume of Interdisciplinary Mathematical Sciences collects invited contribu- tions giving timely surveys on a diverse range of topics of contemporary research activities, including applications of analytic functions in periodic elastic mechan- ical problems, bifurcation and chaos in microelectromechanical systems, random dynamical systems and stochastic differential equations, epidemic disease propaga- tion dynamics, inverse problems for equations of parabolic type, chaotic behavior ofatwo-componentBose–Einsteinsystem,thep-Laplacianproblemswithalinking geometric structure, progress in chaos control, chaos synchronization and complex networks,mathematicalmodelingofcoldplasmabypartialdifferentialequationsof mixed type, gravitatingYang–Millsfields in arbitrarydimensions,the Hamiltonian constraint and Mandelstam identities in quantum gravity study, the lattice Boltz- mann simulation and application to a nonlinear Schro¨dinger equation, stability of nonlocaltime-delayedBurgersequation,bifurcationanalysisoftheSwift-Hohenberg equation,anewglobal-localcomputationalmethodfordifferentialequations,anda review onrepresentingtopologicalclasses by harmonic quantities with applications in quantum field theory. The ordering of the chapters follows the alphabetic order of the last names of the first authors of the contributions. Wearegratefultoalltheauthorsfortheircontributionstothis volume. Special thanks are due to Professor Zhenting Hou and Dr. Han-ping Chin, authors of PrefaceandPostscript,respectively,whichprovidevividintroductions to Professor Youzhong Guo for the reader. We would also like to thank Dr. Rajesh Babu, Production Specialist at World Scientific Publishing, for his professional editorial assistance. We are privileged and honored to dedicate this volume to Professor Youzhong Guo, our teacher and life-long friend, on the occasion of his 75th birthday and 55 years of career in mathematical sciences. Yisong Yang, Polytechnic Institute of New York University Xinchu Fu, Shanghai University Jinqiao Duan, Illinois Institute of Technology August 10, 2009 vii November10,2009 15:3 WorldScientificReviewVolume-9.75inx6.5in PerspectivesMath TThhiiss ppaaggee iinntteennttiioonnaallllyy lleefftt bbllaannkk November10,2009 15:3 WorldScientificReviewVolume-9.75inx6.5in PerspectivesMath Preface This festschrift volume is dedicated to Professor Youzhong Guo on the occasion of his 75th birthday and 55 years of scientific career. Born in Hangzhou, China, on October 25, 1935, and graduated from Nanjing University of Technology in 1955, Guo was recruited to Institute of Mathematical Sciences (Wuhan), Academia Sinica, as a research assistant to work with mathe- matician, Professor Guoping Li, academician of Academia Sinica. Since then, Guo has been engagedinmathematical sciences researchand made many achievements. He published over one hundred articles ranging in pure and applied mathematics, especially in mathematical physics, system science, and mathematical economics. Guo’sinfluencethroughhispublications,lectures,andserviceshasbenefitedpeople far beyond his fields. In 1979, Guo was appointed Professor and Executive Vice-Director of Institute of Mathematical Sciences and Chairman of the Institute’s Academic Committee. In 1987, Guo was appointed Chairman of Wuhan Municipal Commission of Sci- ence and Technology and became Director of Institute for Industry and Applied Mathematics. Afterwards he was elected as Vice-Chairman of Chinese Society of IndustrialandAppliedMathematics,ChairmanofRationalMechanicsandModern Mathematics Commission of Chinese Society of Mechanics. Among his other past and present positions and responsibilities are: Editor-in-Chief/Editor of Lecture Notes for Mathematics, Acta Mathematica Scientia, Structural Analysis Systems and Engineering Analysis International, Director of System Engineering Society of China. In the 1950’s, Guo contributed in the approximation theory of functions, an- alytical theory of differential equations, variational principles, error estimates of solutions of differential equations in the Sobolev spaces. Guo also designed Wuhan Laboratory of Electrostatic Acceralator, Academia Sinica. Taking a cooperative research task with the Academy of Sciences of Soviet Union and working with GuopingLi, Guostudiedthe theoryandapplicationsofautomorphicfunctions and the Minkowski–Denjoy functions for a long time. Their results were published as the first monograph of its kind in the world in 1978. In the 1960’s, Guo worked on field theory and the Three-Gorge Project. He developed the principles of transformations of fiber bundles for general relativistic ix
The list of books you might like
