报告题目：SPDEs as singular stochastic dynamical system in Hilbert space and its stability

报告人：苗颖婷，华南理工大学

报告时间：2023年11月13日（周一）19:00-20:00

报告地点：腾讯会议：767-387-825

报告摘要：In this talk, we discuss some results of the transport-type SPDEs. These equations can be viewed as the singular SDEs in Sobolev space. We establish a local well-posedness result of its pathwise solution. And then, we consider the impact of noise on both preventing blow-up and its stability. On one hand, we identify a family of noises such that blow-up can be prevented with probability 1, guaranteeing the existence and uniqueness of global solutions almost surely. On the other hand, we introduce a notion of stability of exiting time and we show that one cannot improve the stability of the exiting time and simultaneously improve the continuity of the dependence on initial data.

报告人简介：苗颖婷现为华南理工大学博士后，合作导师是朱长江教授。2020年，博士毕业于香港城市大学。目前主要从事随机偏微分方程和随机控制方面的研究工作。

邀请人：钟杰