应pc加拿大预测准确率邀请，西班牙塞维利亚大学 Tomás Caraballo 教授将于2023年6月13日举办学术报告。

报告题目：A survey on the dynamics of stochastic PDEs

时间：2023年6月13日(星期二)上午9:00

地点：城关校区理工楼631报告厅

报告摘要：The aim of this talk is to provide a survey on different aspects related to the dynamics of systems modeled by stochastic partial differential equations. We first report on the dynamics of random dynamical systems generated by stochastic PDE with linear multiplicative or additive noise. The main technique is a conjugation transformation which allows us to obtain a random dynamical system generated by the original stochastic problem. However, when the noise is more general than additive or multiplicative, this transformation does not work, but we still have two other alternatives to handle our problem. The first one consists in approximating the noisy term by a Wong-Zakai approximation (also called colored noise). In this way we can consider a random partial differential equation which generates a random dynamical system and the theory of random dynamical systems can be applied. A reason justifying this approach is that the random dynamical system generated by the Wong-Zakai approximation converges to the random dynamical system generated by the stochastic problem when the noise is additive or multiplicative. However, the convergence for general multiplicative noise is still unsolved. The second approach to analyze the case of nonlinear multiplicative noise is to apply the theory of weak mean random attractor which provides interesting information about the dynamics of the problem in an appropriate phase space.

欢迎广大师生光临！ 

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。

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