报告题目：Random Attractors for Rough Stochastic Partial Differential Equations

主讲人：曾才斌

单位：华南理工大学

时间：7月6日16:30

腾讯ID：747-112-552

摘要：In this talk, we will report a recent result on the existence of random attractors for rough partial differential equations driven by nonlinear multiplicative rough paths with Hurst index in (1/3, 1/2]. Our approach relies upon rough paths theory and stopping time analysis in a suitable scale of interpolation spaces. To our aim, we shall intruduce a stopping time sequence and establish its algebraic and analytical properties, which allow us to obtain the required compact tempered absorbing set. An illustrative example is presented by reaction-diffusion equations subjected to fractional Brownian rough paths. This is a joint work with Qigui Yang and Xiaofan Lin.

简介：曾才斌，华南理工大学数学学院副教授，博士生导师。研究方向为随机动力系统，在JDE等期刊发表学术论文三十余篇，主持国家自然科学面上项目等多项科研项目。