偏微分方程讨论班
ECNU PDE Seminar

报告题目: On the Fast Reaction Limit of a Competition-Diffusion System
演讲人： Professor Danielle Hilhorst （Universite Paris-Sud XI）
时间： 2009年4月28日（星期二）下午3：00-4：00
地点： 华东师大闵行校区数学系102室

Abstract
We consider a competition-diffusion system for two competing species; the density of the first specie satisfies a parabolic equation whereas the second one either satisfies a parabolic equation or an ordinary differential equation. We show that the two species spatially segregate as the interspecific competition rate becomes large; the limit problem turns out to be a free boundary problem, which may have the form of a Stefan problem. We first present a convergence result as well as an error estimate. We then focus on the singular limit of the interspecific reaction term, which involves a measure located on the free boundary. This is joint work with S. Martin, M. Mimura and H. Ninomiya.