2008年暑期学校 偏微分方程讲习班课程

Place: The Science Building A1510
Date: July 11- July 31
Time: tentative
1． Exploring the Roles of Diffusion Rates in Reaction-Diffusion Systems
Speaker: Prof. Wei-Ming NI(University of Minnesota,USA and ECNU)
1. Activator-Inhibitor Systems: An Overview
2. Global Existence of Shadow Systems
3. Finite-time Bolw-up of Shadow Systems
4. Stability Properties of Shadow Systems
5. CIMA Reaction and Related Topics
ABSTRACT: We will discuss how the dynamics of solutions to reaction-diffusion systems depend on the diffusion rates. Particular examples, including Gierer-Meinhardt activator-inhibitor system and the Lengyel-Epstein system for the CIMA reaction, will be used to illustrate this point of view, and special attention will be given to the corresponding shadow systems. Comparisons will be made among the 2x2 reaction-diffusion systems, their shadow systems, and the kinetic systems.

2. Allen-Cahn Type Equations in Phase Transition
Speaker: Prof. Gui ChangFeng (University of Connecticut, USA)

3. Maximum principle, symmetry and some classical elliptic equations
Speaker: Prof. Ye Dong (Univesité de Cergy-Pontoise, France)