报告题目：Construction of minimal mass blow-up solutions to stochastic nonlinear Schrodinger equations

报 告 人：张登副教授（上海交通大学）

报告时间：2021年7月14日  14:00

报告地点：数统院307学术报告厅

报告摘要：

In this talk, we are concerned with the focusing mass-critical stochastic nonlinear Schrodinger equations, in the controlled rough path sense. In both dimensions one and two, the minimal mass blow-up solutions are constructed, particularly, in the absence of the pseudo-conformal symmetry and the conservation law of energy. This yields that the mass of ground state is exactly the threshold of global well-posedness and blow-up in the stochastic focusing mass-critical case. If time permits，the recent results on the existence and conditional uniqueness of multi-bubble blow-up solutions will be also presented. This talk is based on the work in joint with Yiming Su.

报告人简介：

张登，上海交通大学副教授。2014年获中国科学院与德国比勒费尔德大学博士学位。主要研究方向为随机偏微分方程与随机矩阵。在包括Comm. Math.Phys., Probab.Theory Related Fields, Ann.Probab., SIAM J.Control Optim.等著名数学和概率期刊上发表论文十多篇论文。