报告题目: Nonlinear PDEs with modulated dispersion – regularization by noise
报告人简介:李佳玮,2011级泰山学堂数学取向学生,2015年获得学士学位。之后于2015至2019年在英国牛津大学攻读博士学位,毕业后前往美国卡耐基梅隆大学从事博士后研究(2019-2022)。自2022年起,担任英国爱丁堡大学助理教授。其研究领域主要涉及概率论和随机方法在偏微分方程中的应用,近期尤其关注概率论与色散方程交叉领域的研究。
报告摘要:We study dispersive equations with a time non-homogeneous modulation acting on the linear dispersion term. In this talk, we consider the Korteweg-de Vries equation (KdV) and related equations such as the Benjamin-Ono equation (BO) and the intermediate long wave equation (ILW). By imposing irregularity conditions on the modulation, we demonstrate phenomena known as regularization by noise. This talk is based on joint work with Khalil Chouk (formerly UoE), Massimiliano Gubinelli (Oxford), Tadahiro Oh (UoE), and Guopeng Li (BIT).
报告时间:2024年11月1日16:00
报告地点:中心校区知新楼B1238