讲座题目:Turbulence, Lyapunov exponents, and SRB measures in infinite-dimensional dynamical systems
主讲人:吕克宁 教授
主持人:叶东 教授
开始时间:2024-04-29 15:00
讲座地址:闵行校区数学楼102报告厅
主办单位:数学科学学院
报告人简介:
吕克宁,微分方程与无穷维动力系统专家,曾任Brigham Young University和Michigan State University教授,现任四川大学教授、博士生导师,2017年获首届“张芷芬数学奖”,2020年入选AMS fellow,现任国际学术刊物JDE共同主编。他在不变流形和不变叶层,Sinai-Ruelle-Bowen测度,熵和Lyapunov指数以及随机动力系统的光滑共轭理论和随机偏微分方程的动力学方面做出了多个工作,相关论文发表在《Inventiones mathematicae》、《Communications on Pure and Applied Mathematics》、《Memoirs of the American Mathematical Society》等学术期刊上。
报告内容:
In this talk, I will report several results concerning Lyapunov exponents, SRB measures, entropy, and horseshoes for infinite-dimensional dynamical systems. Additionally, I will present recent work on ergodicity and statistical dynamics of the 2-D Navier-Stokes equation driven by both a time-dependent deterministic force and a stochastic force. The relationship between SRB measures and turbulence will also be addressed.