应学院邀请,西北大学徐娇辉副教授将来我院作学术报告。
报告题目:Dynamics of stochastic nonlocal reaction- diffusion equations driven by multiplicative noise
报告摘要:In this talk, it mainly deals with a kind of fractional stochastic nonlocal partial differential equations driven by multiplicative noise. We first prove the existence and uniqueness of solutions to this kind of equations with white noise by applying the Galerkin method. Then, the existence and uniqueness of tempered pullback random attractors for the equations are ensured in an appropriate Hilbert space. When the fractional nonlocal partial differential equations are driven by colored noise, which indeed are approximations of the previous ones, we show the convergence of solutions of Wong–Zakai approximations and the upper semicontinuity of random attractors of the approximate random system as δ → 0.
报告时间:2023年6月11日16:30
报告地点:致勤楼C101学术报告厅
邀请人:陈鹏玉 教授 张旭萍 副教授
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报告人简介
徐娇辉,西北大学数学学院,副教授。本硕就读于兰州大学,博士就读于西安交通大学,并于2021年取得博士学位。2019.10-2021.4受国留学基金委资助访问西班牙塞维利亚大学T. Caraballo 教授,2021.7-2022.12跟随T.Caraballo 教授在塞维利亚大学继续博士后研究。主要研究方向是随机动力系统,目前已在SIAM J Math. Anal, J. Differential Equations, J. Dynam. Differential Equations 等数学杂志上发表论文十余篇。
甘肃省数学与统计学基础学科研究中心
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