报告人：刘伟 (江苏师范大学)

报告时间：2025年12月13日（星期六）10:00-11:30

报告地点：科技楼南楼611室

报告摘要：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 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. The 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.

报告人简介：刘伟，江苏师范大学研究生院经理，二级教授、博士生导师、教育部特聘教授、国家级人才项目获得者。主要从事随机分析和随机偏微分方程等领域的研究，在Springer出版英文专著1本，在PTRF、Math. Ann.、JFA、AAP、SIMA等高水平期刊发表论文50余篇。荣获教育部自然科学二等奖、江苏省数学杰出成就奖和江苏省青年科技奖等荣誉，主持国家重点研发计划等国家级项目7项和江苏省杰出青年基金等省部级项目4项。

邀请人：张磊