Regularization by Nonlinear Noise for PDEs
报告专家：刘伟 教授（江苏师范大学）
报告时间：2024年9月18日（星期三）晚上20：00-21:00
报告地点：腾讯会议：363-595-880 密码：240918
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 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.
专家简介：刘伟，江苏师范大学研究生院院长，教授、博士生导师、教育部重大人才计划特聘教授、国家优秀青年基金获得者。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Math. Ann.、PTRF、AAP、JFA、SIMA等高水平期刊发表论文50余篇，先后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奖项。
邀请人：胡泽春
