學術活動
Spatial Dynamics of Abstract Monostable Evolution Systems with Applications
2009-07-01
來源：科技處 點擊次數：主講人：Xiaoqiang Zhao 教授（Memorial University of Newfoundland, Canada）
时 间：7月2日（星期四）上午10：40-11：40
地 点： 數學科學學院412 课堂
主 办： 數學科學學院
摘 要：In this talk, I will report on the theory of spreading speeds and traveling waves for abstract monotone semiflows with spatial structure. Under appropriate assumptions, we show that the spreading speeds coincide with the minimal wave speeds for monotone traveling waves in the positive and negative directions. Then we use this theory to study the spatial dynamics of a reaction-diffusion-advection population model, a parabolic equation in a periodic cylinder with the Dirichlet boundary condition, a porous medium equation in a tube, and a lattice system in a periodic habitat. If time permits, I will also mention our recent research on some non-monotone evolution systems.
