报告人：申俊（四川大学）

主持人：陈锋

时 间：2023.7.8 9：00-10：00

地 点：国盛大酒店福运厅

主办单位：长春大学理学院

报告人简介：四川大学副教授，博士生导师, 四川省学术和技术带头人后备人选；曾在英国伦敦帝国理工学院、美国杨百翰大学访问；主持国家自然科学基金面上项目、青年基金、博士后基金、四川省面上项目各1项，参加国家重大、重点项目各1项；在《Journal of Differential Equations》、《Journal of Dynamics and Differential Equations》、《Discrete and Continuous Dynamical Systems-Series A》、《SCIENCE CHINA Mathematics》、《Physica D》等上面发表文章数篇。

观点综述：In thistalk,we study long time dynamics of a randomly perturbed non-autonomous coupled system, whose coordinate satisfies a semilinear parabolic equation with an additive noise, and coordinate satisfies a differential equation whose solutions do not converge too rapidly. The noise is either the white noise induced by a Brownian motion or a stationary process whose integral is approximating. After addressing certain assumptions for such system, we show that for(resp.) with respect to the noise(resp. integral of there exists a invariant manifold which is exponentially attracting any other solution outside it. Also, as tends to 0, the invariant manifold and its derivative in for the case are approaching to those for.