350vip8888新葡的京集团350vip8888新葡的京集团2024年第37期数理大讲堂

报告人：徐娇辉副教授， 西北大学

报告时间：2024年12月16日上午9：25—10：25

地点：350vip8888新葡的京集团3号楼 3B205

主持人：赵才地教授

报告人简介：徐娇辉副教授, 博士毕业于西安交通大学。曾访学西班牙塞维利亚大学Tomás Caraballo 教授（2019.10-2021.4），并在塞维利亚大学跟随Tomás Caraballo 教授做博士后研究（2021.7-2022.12）。主要从事随机动力系统等研究。在SIAM J Math. Anal, J. Differential Equations, J. Dynam. Differential Equations 等一流期刊上发表学术论文多篇。

报告题目： Strong convergence of solutions and attractors for reaction-diffusion equations governed by a fractional Laplacian

报告摘要：In this talk, we investigate a nonlocal reaction-diffusion equation governed by a fractional Laplacian on a bounded domain. First, we prove the strong convergence of solutions of the equation governed by the fractional Laplacian to the solutions of the classical equation governed by the standard Laplacian, when the fractional parameter grows to 1. Second, in the autonomous situation, we establish the upper semi-continuity of global attractors with respect to the attractor of the limit problem. It seems that these are the first results of this kind of problems in the literature.