概率统计系列报告:Construction of minimal mass blow-up solutions to stochastic nonlinear Schrödinger equations

发布人:日期:2021年07月09日 15:16浏览数:

    报告人:张登 副教授(上海交通大学

    时 间:2021年7月14日14:00开始

    地 点:数统院307室


报告摘要In this talk, we are concerned with the focusing mass-critical stochastic nonlinear Schrödinger 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。




























































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