应学院邀请，西班牙塞维利亚大学Tomás Caraballo教授将来我院作学术报告。

报告题目：Asymptotic behavior of a semilinear problem in heat conduction with long time memory and non-local diffusion

报告摘要：In this talk, the asymptotic behavior of a semilinear heat equation with long time memory and non-local diffusion is analyzed in the usual set-up for dynamical systems generated by differential equations with delay terms. This approach is different from the previous published literature on the long time behavior

of heat equations with memory which is carried out by the Dafermos transformation. As a consequence, the obtained results provide complete information about the attracting sets for the original problem, instead of the transformed one. In particular, the proved results also generalize and complete previous literature in the local case (see [1], [2]).

[1] J. Xu, T. Caraballo, J. Valero. Asymptotic behavior of a semilinear problem in heat conduction with long time memory and non-local diffusion, J. Differential Equations 327 (2022), 418-447.

[2] J. Xu, T. Caraballo, J. Valero. Asymptotic behavior of nonlocal partial differential equations with long time memory.  Discrete and Continuous Dynamical Systems, Series S 15 (2022), no. 10, 3059-3078.

报告时间：2023年6月11日14:30

报告地点：致勤楼C101学术报告厅

邀 请 人：马巧珍教授

届时欢迎广大师生参与交流！

报告人简介：

Tomás Caraballo, 西班牙塞维利亚大学终身教授，博士生导师，美国奥本大学客座教授，主要研究随机偏微分方程吸引子的存在性和内部结构，随机动力系统等。先后在SIAM J. Math. Anal., J. Differential Equations, Proc. A, J. Dynam. Differential Equations, Nonlinear Anal., Discrete Contin. Dynam. Systems等数学权威期刊上发表论文三百三十余篇，并著有《Applied Nonautonomous and Random Dynamical Systems, Applied Dynamical Systems》，多次受邀在华南理工大学，东华大学，华中科技大学等访问并做报告。

 甘肃省数学与统计学基础学科研究中心

 数学与统计学院