May 31 (Monday)

Chair of the Session: Professor Zhouping Xin, IMS, CUHK

8:30 - 9:00am

Registration

9:00 - 9:10am

Opening Remarks, by Prof. Kenneth Young, Pro-Vice-Chancellor, CUHK

9:10 - 10:00am

Non-existence of Black-Hole Solutions for the Einstein-Dirac-Maxwell Equations

Prof. Joel A. Smoller,

The University of Michigan, USA.

10:00-10:30am

Tea Break

10:30-11:20am

Approximate Solutions to the Incompressible Euler Equations with No Concentrations

Prof. Eitan Tadmor, The University of California at Los Angeles, USA

11:20-11:50am

Moving Mesh Methods for Partial Differential Equations

Prof. Tao Tang, Hong Kong Baptist University, HK.

11:50-12:20am

A Geometric Theory of 2-D Incompressible Flows and its Applications to the Large Scale Ocean Circulations.

Prof. Shouhong Wang, Indiana University, USA

12:20-2:00pm

Lunch

Chair of the Session: Professor Eitan Tadmor, UCLA

2:00 - 2:50pm

Applications of Generalized Characteristics

Prof. Constantine Dafermos, Brown University, USA

2:50 - 3:20pm

Some Nonlinear Functionals of Scalar Hyperbolic Conservation Law

Prof. Tong Yang, City University of Hong Kong, HK

3:20 - 3:50pm

Aymptotic toward Centered Rarefaction Waves for Some Hyperbolic Semilinear Relaxation systems

Prof. Weicheng Wang, National Tsing Hua University, Taiwan.

3:50 - 4:20pm

Tea Break

4:20 - 5:10pm

Chapman-Enskog, Relaxation, and Rational Approximation

Prof. Marshall Slemrod, University of Wisconsin at Madison, USA

5:10 - 5:40pm

Relaxation Limit of Hyperbolic System with Relaxation in the Presence of Boundary

Prof. Tao Luo, City University of Hong Kong, HK.

June 1 (Tuesday)

Chair of the Session: Professor Constatine Dafermos, Brown University

8:30 - 9:20am

To be announced.

Prof. Bjorn Engquist, UCLA & Columbia, USA

9:20 - 9:50am

Gas Evolution Dynamics and Numerical Dissipation in Shock Capturing Schemes

Prof. Kun Xu, The Hong Kong University of Science and Technology, HK

9:50 - 10:20am

An Iterative Grid Redistribution Method and Applications to Blow Up Problems

Prof. Xiao-Ping Wang, The Hong Kong University of Science and Technology, HK.

10:20 - 10:50am

Tea Break

10:50-11:40am

Theory of Cosmic Shock-Wave.

Prof. Blake Temple, The University of California at Davis, USA.

11:40-12:10am

First-order L₁-convergence for Various Approximations to Conservation Laws

Prof. Zhen-Huan Teng, Peking University, China.

12:10-12:40am

Lip+ Stability of Relaxing Scheme and Numerical Entropy Inequalities of Relaxed Schemes

Prof. Jinghua Wang, Academia Sinica, China.

12:40-2:30pm

Lunch

Chair of the Session: Professor Marshall Slemrod, University of Wisconsin, Madison

2:30 - 3:20pm

Inflow and Outflow Problems in the Half Space for a One-Dimensional Isentropic Model System of Compressible Viscous Gas

Prof. Akitaka Matsumura, Osaka University, Japan

3:20 - 3:50pm

The Two-Dimensional Riemann Problem in Gas Dynamics

Prof. Tong Zhang, Academic Sinica, China.

3:50 - 4:20pm

Large-time Behavior of Solutions to the Equations of a 1D, Viscous Gas in Unbounded Domains

Prof. Song Jiang, Institute of Applied Physics and Computational Mathematics

4:20 - 4:50pm

Tea Break

4:50 - 5:40pm

Some Mathematical Analysis in Semiconductor Devices

Prof. Ling Hsiao, Academia Sinica, China.

5:40 - 6:10pm

The Pointwise Estimates of Solution for Multi-Dimensional Euler Systems with Damping

Prof. Weike Wang, Wuhan University, China.

June 2 (Wednesday)

Chair of the Session: Professor Bjorn Engquist, UCLA & Columbia

8:30 - 9:20am

Hydrodynamics of the Ginzburg-Landau vortices

Prof. Fang-Hua Lin, New York University, USA

9:20 - 9:50am

Vortex Dynamics of Ginzburg-Landau Equations in Inhomogeneous Superconductors

Prof. Huai-Yu Jian and

Bin-Heng Song, Tsinghua University, China

9:50 - 10:20am

Self-focusing in the Critical Nonlinear Schrodinger Equation And in The Complex Ginzburg-Landau Equation

Prof. Gadi Fibich, Tel-Aviv University, Israel.

10:20 - 10:50am

Tea Break

10:50-11:40am

Liouville Theorems for Nonlinear Heat Equations and Applications

Prof. Frank Merle, Universite de Cergy-Pontoise, France.

11:40-12:10am

Selective Decay in the Presence of Geophysical Effect

Prof. Xiaoming Wang, Iowa State University, USA.

12:10-12:40am

Non-existence of Singular Solutions to Nonlinear Elliptic Systems

Prof. Yuanwei Qi, Hong Kong Univeristy of Science and Technology, HK.

12:40-2:30pm

Lunch

2:30 - 4:20pm

Break

4:20 - 4:50pm

Tea Break

4:50 - 5:40pm

Break

June 3 (Thursday)

Chair of the Session: Professor Tao Tang, Hong Kong Baptist University.

8:30 - 9:20am

A Second Degree Method for the Solution of Inverse Problems in Partial Differential Equations

Prof. William Rundell, Texas A&M University, USA.

9:20 - 9:50am

Interface Problems For Elliptic Equations

Prof. Long-An Ying, Peking University, China

9:50 - 10:20am

Simultaneous Reconstruction of the Heat Radiation Coefficient and Initial Data

Prof. Jun Zou, The Chinese University of Hongkong, HK.

10:20 - 10:50am

Tea Break

10:50-11:40am

High Order Simulation of Viscous Incompressible Flows at Large Reynolds Numbers

Prof. Jian-Guo Liu, University of Maryland, USA.

11:40-12:10am

Stability of a Boundary Integral Method for 3-D Water Waves

Prof. Pingwen Zhang, Peking University, China.

12:10-12:40am

Photo Taking

12:40-2:30pm

Lunch

Chair of the Session: Professor Jian-Guo Liu, University of Maryland, USA.

2:30 - 3:20pm

High Frequency Behavior of the Focusing Nonlinear Schrodinger Equation with Random Inhomogeneities

Prof. Shi Jin, Georgia Institue of Technology, USA.

3:20 - 3:50pm

Domain Decompostion Methods for Nonlinear Elliptic PDEs

Prof. Shiu-Hong Lui, Hong Kong Univeristy of Science and Technology, HK.

3:50 - 4:20pm

Wavelets On Interval Over Regular Or Irregular Meshes

Prof. I-Liang Chern & Chien-Chang Yen, National Taiwan University, Taiwan

4:20 - 4:50pm

Tea Break

4:50 - 5:20pm

The Shape Equation for Red Blood Cells

Prof. Thomas Kwok-Keung Au, The Chinese University of Hong Kong, HK.

5:20 - 5:50pm

Stability of Viscous Boundary Layers of Compressible Fluids

Prof. Taku Yanagisawa, Nara Women’s University, Japan.

5:50 - 6:20pm

Some Results on Evolution p-Laplacian Equations

Prof. Junning Zhao, Xiamen University, Chian.

June 4 (Friday)

Chair of the Session: Prof. Fang Hua Lin, New York University.

8:30 - 9:20am

Linear Boltzmann Equation as Scaling Limit of Quantum Lorentz Gas

Prof. Horng-Tzer Yau, New York University, USA.

9:20 - 9:50am

Spectral Analysis of The Pauli Operator in a Strong Inhomogeneous Magnetic Field

Prof. Laszlo Erdos, Georgia Institute of Technology, USA.

9:50 - 10:20am

A Nonlinear Variational WavE Equation

Prof. Yuxi Zheng, Indiana University, USA.

10:20 - 10:50am

Tea Break

10:50-11:40am

Some Bifurcation Problems of Heat Convection

Prof. Takaaki Nishida, Kyoto University, Japan.

11:40-12:10am

The Dimension of the Attractor for the Navier-Stokes Equations with Nonhomogeneous Boundary Condition

Prof. Zhongwei Shen, University of Kentucky, USA

12:10-12:40am

Global Existence and Long Time Behavior for the Davey-Stewartson Systems

Prof. Boling Guo, Institute of Applied Physics and Computational Mathematics

12:40-2:30pm

Lunch

Chair of the Session: Prof. Shi Jin, Georgia Institue of Technology, USA.

2:30 - 3:20pm

On the Cauchy Problem of the KdV Equation With Stochastic Forcing Term

Prof. Yoshio Tsutsumi, Tohoku University, Japan.

3:20 - 3:50pm

Stability of Multiple-Peaked Solutions

Prof. Juncheng Wei, The Chinese University of Hong Kong, HK.

3:50 - 4:20pm

Liouville Properties and a Conjecture of De Giorgi

Prof. Changfeng Gui, University of British Columbia, Canada

4:20 - 4:50pm

Tea Break

4:50 - 5:40pm

Two Formulations of Discontinuous Galerkin Methods for Viscous Problems

Prof. Chi-Wang Shu, Brown University, USA.

5:40 - 6:10pm

Flow Box Theorems at Singularities

Prof. Jishan Hu, Hong Kong Univeristy of Science and Technology, HK.

June 5 (Saturday)

Chair of the Session: Prof. Jun Zou, The Chinese University of Hong Kong.

8:30 - 9:00am

To be announced.

Prof. Ping Zhang, Chinese Academy of Sciences,China.

9:00 - 9:30am

Existence of Local Solutions to Supersonic Flow Past a Pointed Body

Prof. Shuxing Chen, Fudan University, China

9:30 - 10:00am

To be announced.

Prof. Hui Cheng Yin, Nanjing University, China.