一、报告题目

Recent progress on multi-bubble blow-ups and multi-solitons to stochastic nonlinear Schrödinger equations

二、主讲人

张登

三、报告时间

2022年12月13日 18:00-19:00

四、报告地点

ZOOM

五、摘要

In this talk we will review some recent results on the multi-bubble blow-ups and multi-solitons to focusing stochastic nonlinear Schrödinger equations. We will showthe construction and conditional uniqueness of critical mass blow-up solutions, whichyield that the mass of the ground state is the threshold for the blow-up and global well-posedness in the mass-critical case. Relevant results for multi-bubble Bourgain-Wang blow-up solutions and multi-solitons are then presented, whichprovide new examples for the mass quantization conjecture and soliton resolution conjecture in the deterministic case. In addition, we will show the direct construction of stochastic multi-solitons in both the mass-critical and subcritical cases, particularly, in the absence of the pseudo-conformal symmetry.

六、主讲人简介

张登，上海交通大学副教授，2014年于中科院数学与系统科学研究院和德国比勒费尔德大学获得博士学位，主要研究方向是随机分析和随机偏微分方程等。

七、主办单位

非线性期望前沿科学中心

数学与交叉科学研究中心