Abstract

In this talk, I will first review some problems and known results on the long time dynamics of NLS. Then I will introduce our recent progress in the mass critical setting, including the existence and uniqueness of multi-bubble blow-up solutions, Bourgain-Wang type solutions and multi solitons. This talk is based on the joint works with Prof. Cao Daomin, Prof. Rockner Michael, and Prof. Zhang Deng.