PDE Seminar

Principal eigenvalue of second order elliptic operator with large advection

  • 演讲者:周茂林(南开大学)

  • 时间:2026-09-23 15:00-16:00

  • 地点:理学院大楼M616

Abstract

In this talk, we will discuss recent progress on the asymptotic behaviour 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 an 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.