报告人：陈光淦 教授（四川师范大学）

报告题目：Slow foliation of a slow–fast stochastic evolutionary system

报告摘要：This work is concerned with the dynamics of a slow–fast stochastic evolutionary system quantified with a scale parameter. An invariant foliation decomposes the state space into geometric regions of different dynamical regimes, and thus helps understand dynamics. A slow invariant foliation is established for this system. It is shown that the slow foliation converges to a critical foliation (i.e., the scale parameter is zero) in probability distribution, as the scale parameter tends to zero. The approximation of slow foliation is also constructed with error estimate in distribution. Furthermore, the geometric structure of the slow foliation is investigated: every fiber of the slow foliation parallels each other, with the slow manifold as a special fiber. In fact, when an arbitrarily chosen point of a fiber falls in the slow manifold, the fiber must be the slow manifold itself. 

报告人简介：陈光淦，男，四川师范大学数学与软件科学学院教授，博士生导师。主要从事数学物理、随机波动方程和随机动力系统的研究。在SIAM Journal on Mathematical Analysis、Journal of Functional Analysis等学术期刊上发表论文10多篇，SCI他引30多次。主持国家自然科学基金3项。获四川省科技进步二等奖2项。先后应邀到University of California(Los Angeles)、Ilinois Institute of Technology、National University of Singapore等著名高校进行学术访问。

报告时间：2017年6月26日（星期一）下午4：00--5：00
报告地点：科技楼南楼702