活动时间：2025-11-07 14:00

活动地点：2号学院楼454会议室

主讲人：唐昊

主讲人简介：

唐昊，天津大学教授，海外优秀青年基金获得者。2018年10月获得香港城市大学博士学位。自2019年至2024年，分别在德国斯图加特大学（受洪堡基金资助）和挪威奥斯陆大学从事博士后工作。研究主要集中在随机偏微分方程及其相关领域，已在J. Funct. Anal., SIAM J. Math. Anal., Ann. Inst. Henri Poincaré Probab. Stat., Commun. Contemp. Math., J. Differential Equations, Stochastic Process. Appl.等期刊上发表论文。

内容摘要：

In this talk, I will discuss SPDEs of fluid type featuring pseudo-differential noise (non-local in the spatial variable) and mean-field (non-local in the sample variable), respectively. In the case of pseudo-differential noise, we have uncovered certain cancellation properties inherent to pseudo-differential operators, which play pivotal roles in establishing the existence of solutions. Concerning mean-field dynamics, unlike classical SDEs/SPDEs, relying solely on stopping time techniques does not guarantee uniqueness. We have identified a new localized topology on measures that enables us to address this issue. Additionally, we have established abstract frameworks for each of these scenarios. To conclude, I will discuss some recent results and problems in this field.

主持人：吕吴俊