报告人：刘伟 教授 （江苏师范大学）

时间：2026年3月19日 14:30-

地点：理科楼LA103

摘要：This talk focuses on the global existence, uniqueness and the Feller property for a class of stochastic partial differential equations with suitable nonlinear noise, while the corresponding deterministic equations may only have local solutions. In particular, we discover a new phenomenon that for a potentially explosive deterministic system, an appropriate intervention of nonlinear noise can not only prevent blow-up but also lead to the finite time extinction of the associated stochastic system. Our main results have various applications, including not only all locally monotone stochastic equations in the variational framework, but also several new models such as stochastic 3D Navier-Stokes equations, stochastic p-Laplace equations with heat sources, stochastic quasi-geostrophic equations and stochastic surface growth models, which provide positive answers to some open problems in this field.

邀请人：周国立