Geometry and Nonlinear Partial Differential Equations

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ISBN: 9780821832943 | 0821832948
Cover: Paperback
Copyright: 9/1/2002

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This book presents the proceedings of a conference on geometry and nonlinear partial differential equations dedicated to Professor Buqing Su in honor of his one-hundredth birthday. It offers a look at current research by Chinese mathematicians in differential geometry and geometric areas of mathematical physics. It is suitable for advanced graduate students and research mathematicians interested in geometry, topology, differential equations, and mathematical physics.

Preface

vii

Essay honoring Professor Buqing Su

viii

Dedication for the Conference at Zhejiang University, China

The address on the celebration for the 100th birthday of Professor Su Buqing

CHAOHAO GU

(4)

A property of Kähler-Ricci solitons on complete complex surfaces

BING-LONG CHEN AND XI-PING ZHU

(8)

Propagation of singularities in compressible viscous fluids

SHUXING CHEN AND YA-GUANG WANG

(14)

The Landau-Lifshitz equation and its gauge equivalent structure

QING DING

(4)

General flattened Jaffe models for galaxies

ZHENGLU JIANG, DAOYUAN FANG, HONGXIA LIU, AND DAVID MOSS

(8)

Scattering matrices and geodesics of locally symmetric spaces

LIZHEN JI

(14)

A note on enumerating rational curves in a K3 surface

JUN LI

(10)

Multi-phase computations of the semiclassical limit of the Schrödinger equation

SHI JIN AND XIANTAO LI

(14)

Towards a mirror principle for higher genus

BONG LIAN, KEFENG LIU, AND SHING-TUNG YAU

(10)

Vortices in two-dimensional Bose-Einstein condensates

FANGHUA LIN AND TAI-CHIA LIN

(28)

Sample path properties of Gaussian processes

ZHENGYAN LIN

115

(8)

Wavelets on the Heisenberg group

LIZHONG PENG

123

(10)

On complete submanifolds with parallel mean curvature vector

YI-BING SHEN

133

(10)

Triple covers on smooth algebraic varieties

SHENG-LI TAN

143

(22)

Osculating CR manifolds by nilpotent Lie groups in the theory of several complex variables

WEI WANG

165

(10)

Dynamics of commuting holomorphic maps

YUEFEI WANG

175

(6)

Different behaviour for the solutions of 1-dimensional chemotaxis model with exponential growth

YIN YANG, HUA CHEN, AND WEIAN LIU

181

(10)

Some progress in classical general relativity

SHING TUNG YAU

191

(16)

Long shock for supersonic flow past a curved cone

HUICHENG YIN

207

(10)

A compactness theorem for Yang-Mills connections

XI ZHANG

217

(10)

The positive mass theorem in general relativity

XIAO ZHANG

227

(8)

Extension theorems for special holomorphic functions

XIANG-YU ZHOU

235

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Geometry and Nonlinear Partial Differential Equations

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