Lecture on "Principal Eigenvalue of Second Order Elliptic Operator with Large Advection"

December 13, 2024

Speaker: Zhou Maolin, professor, Chern Institute of Mathematics, Nankai University

Date: December 13, 2024

Time: 10:30-11:30 am

Location: Tencent Meeting: 289980757

Sponsor: School of Mathematics, Shandong University

Abstract:

In this talk, we will discuss recent progress on the asymptotic behavior of the principal eigenvalue of some second order operators. Through analyzing the closed orbits of the advection vector field, we obtain a complete result on how the principal eigenvalue converges for large advection. We also find a unified viewpoint to understand some previous results on this topic, like [Berestycki-Hamel-Nadirashvilli, CMP 2005] and [Chen-Lou, IUMJ2008]. This is a joint work with Shuang Liu and Yuan Lou.

For more information, please visit:

https://www.view.sdu.edu.cn/info/1020/198026.htm