报告人：王毅（中国科学技术大学）

时间：2018.1.13（星期六）9：20-10：00

地点：理科楼LD201

 
摘要： In this talk, we will report some recent progress on the invariant cone families (ICF) in infinite-dimensional dynamical systems. For linear cocycles, we will discuss the close relation of the ICF with Multiplicative Ergodic Theorem, dominated splitting (exponential separation), as well as Krein-Rutman Type Theorem. For nonlinear cocycles, we show that ICF plays a key role in investigating the dynamics of nonautonomous parabolic equations on the cycle or on the higher-dimensional domain with symmetry. In particular, we show the appearance of almost periodically (autmorphically) forced circle flow and the asymptotic symmetry for infinite-dimensional systems generated by these nonlinear parabolic equations.

报告人简介：王毅，中国科学技术大学数学科学学院教授，博士生导师。主要从事单调动力系统与微分方程领域的研究，在包括J. Eur. Math. Soc.、Adv. Math.、Proc. London Math. Soc.、SIAM J. Math. Anal.、Trans. Amer. Math. Soc.、J. Diff. Eqns.、J. Math. Biol.等高水平杂志上发表论文30余篇。全国百篇优秀博士学位论文获得者，入选教育部新世纪优秀人才支持计划。

公司联系人：朱长荣