偏微分方程讨论班
ECNU PDE Seminar
报告题目: On a Reaction-Diffusion System with Conservation of a Mass
演讲人： Prof. Yoshihisa Morita
Ryukoku University , Japan
时间： 2010年11月4日（星期四）下午3:00—4:00
地点： 华东师大闵行校区数学系102报告厅
摘要
We consider a reaction-diffusion system with conservation of a mass. In this system the stationary equations of the system are reduced to a scalar stationary equation with a nonlocal term. Namely, there is a one-to-one correspondence between equilibrium solutions of the system with a given mass and the scalar equation with the nonlocal term. As for the stability of equilibrium solutions, under some condition for the reaction terms, we show that if the scalar equation allows a nondegenerate stable solution, then the system has a stable solution corresponding to the scalar one, and vice versa. We also give a specific example having a spatially non-uniform periodic solution, which never arises in the scalar equation.
