Speaker: Pro.Shihui Zhu（Sichuan normal university）

Title:Blow-up Dynamics for the Nonlinear Schr¨odinger Equations

Time: Thur, Jan17, 2019, PM:16:00-17:00

Location: Room 4318, Building No.4, Wushan Campus

Abstract:

In this talk, we first recall the known studies on the blow-up solu-tions for the classical nonlinear Schrödinger equations: local and global well-posedness, existence and stability of standing waves, existence and dynamics of blow-up solutions. Then, we state our main results on the blow-up dynamics for the fourth-order nonlinear Schrödinger equa-tions, and give some further open problems. Finally, we consider the blow-up dynamics for nonlinear fractional Schrödinger equations.

This work joint with Qing Guo(Minzu University of China), Han Yang(Southwest Jiaotong University) Jian Zhang(University of Elec-tronic Science and Technology of China).