Geometry and Nonlinear Partial Differential Equations

by Chen, Shuxing; Yau, S. T.

• ISBN13: 9780821832943
• ISBN10: 0821832948
• Format: Paperback
• Copyright: 2002-09-01
• Publisher: Amer Mathematical Society

Summary

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.

Table of Contents

Preface	vii
Essay honoring Professor Buqing Su	viii
Dedication for the Conference at Zhejiang University, China	ix
The address on the celebration for the 100th birthday of Professor Su Buqing
CHAOHAO GU	1	(4)
A property of Kähler-Ricci solitons on complete complex surfaces
BING-LONG CHEN AND XI-PING ZHU	5	(8)
Propagation of singularities in compressible viscous fluids
SHUXING CHEN AND YA-GUANG WANG	13	(14)
The Landau-Lifshitz equation and its gauge equivalent structure
QING DING	27	(4)
General flattened Jaffe models for galaxies
ZHENGLU JIANG, DAOYUAN FANG, HONGXIA LIU, AND DAVID MOSS	31	(8)
Scattering matrices and geodesics of locally symmetric spaces
LIZHEN JI	39	(14)
A note on enumerating rational curves in a K3 surface
JUN LI	53	(10)
Multi-phase computations of the semiclassical limit of the Schrödinger equation
SHI JIN AND XIANTAO LI	63	(14)
Towards a mirror principle for higher genus
BONG LIAN, KEFENG LIU, AND SHING-TUNG YAU	77	(10)
Vortices in two-dimensional Bose-Einstein condensates
FANGHUA LIN AND TAI-CHIA LIN	87	(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