报告题目：Regularization by nonlinear noise for PDEs: well-posedness and finite time extinction

报告人：李石虎，江苏师范大学

报告时间：10月25日 10:00-11:00

报告地点：管理楼1318

摘要：

In this talk, we consider the regularization by nonlinear noise for a class of PDEs that may only have local solutions. In particular, we obtain the global existence, uniqueness and the Feller property for stochastic 3D Navier-Stokes equations. Moreover, for a potentially explosive deterministic system, we show that 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 broad applications, including stochastic p-Laplace equations with heat sources, stochastic surface growth models and stochastic quasi-geostrophic equations.

简介：

李石虎，江苏师范大学副教授，硕士生导师。博士毕业于南开大学，导师谢颖超教授，研究领域为随机分析和随机偏微分方程。在 Probab. Theory Related Fields，Ann. Inst. Henri Poincaré Probab. Stat.，SIAM J. Math. Anal. 和 Science China Mathematics等期刊发表论文20余篇，主持国家自然科学基金面上项目、青年基金和江苏省自然科学青年基金等项目。