题目: The Principal Eigenvalue of A Periodic Parabolic Problem
报告人: Professor Xiaoqiang Zhao,
Memorial University of Newfoundland, Canada
时间:2015年4月30日(星期四),下午16:00 - 17:00
地点:管理科研楼1518教室
摘要:
The principal eigenvalue is a basic concept in the field of parabolic partial differential equations. In recent decades, a large amount of research works have been devoted to the study of qualitative properties of the principal eigenvalue and its eigenfunction for second-order linear elliptic operators. As far as the nonautonomous periodic-parabolic operator is concerned, however, much less has been known for the associated principal eigenvalue, especially when the advection term appears. The principal eigenvalue for linear periodic-parabolic operators becomes important when a time periodic environment is involved.
In this talk, I will report our recent research on a one-dimensional periodic-parabolic eigenvalue problem. The dependence of the principal eigenvalue on the diffusion and advection coefficients is investigated.
If time permits, I will mention an application of the developed theory to a nonlocal reaction-diffusion-advection model of a single phytoplankton species with periodic incident light intensity.
欢迎感兴趣的师生参加!