The defocusing/focusing critical stochastic nonlinear Schrödinger equations

报告题目：The defocusing/focusing critical stochastic nonlinear Schrödinger equations

报告时间：2023年4月25日下午2:00

报告地点：红瓦楼723室

报告摘要：We will  review some recent results on the defocusing/focusing critical  stochastic nonlinear Schrödinger equations. In the defocusing case, we  show the global well-posedness, scattering as well as the existence of  optimal controllers. In the focusing case, we mainly show the  construction and conditional uniqueness of multi-bubble Bourgain-Wang  type blow-up solutions and multi-solitons. These results also apply to  the deterministic case and provide new examples for the mass  quantization conjecture and the soliton resolution conjecture.

报告人简介：张登，2014年博士毕业于中科院数学与系统科学研究院和德国比勒费尔德大学，师从中科院马志明院士和德国Michael Röckner教授。研究方向主要包括随机偏微分方程、随机最优控制，随机矩阵理论等。