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！