报告题目：Gibbs measures and Gibbs dynamics for nonlinear dispersive partial differential equations
报 告 人：王玉昭 副教授 英国伯明翰大学
报告时间：2024年7月12日，10：00
报告地点：数学楼第二报告厅
校内联系人：段犇 bduan@jlu.edu.cn
报告摘要：In recent years, there has been significant progress on constructing Gibbs measure and understanding their associated dynamics for dispersive partial differential equations.
I will review how this subject has evolved to its current shape since the seminal work of Bourgain in the 1990s. Bourgain's introduction of the Fourier restriction norm method, rigorous construction of the focusing Gibbs measure, and the invention of the invariant measure argument to globalise local dynamics have been foundational. Recent advancements have been built upon these pillars, with Barashkov and Gubinelli's variational argument, the concept of para-controlled distributions, and Deng-Nahmod-Yue's random average operator and random tensor arguments, further expanding the boundaries of our understanding in this field.
报告人简介：王玉昭，博士，英国伯明翰大学副教授, 博士生导师。 2005年获吉林大学数学与应用数学学士学位，2010年获北京大学数学博士学位。自2017年8月起在英国伯明翰大学任助理教授，副教授。王玉昭教授主要从事于无穷维动力系统，随机偏微分方程，调和分析的研究 —— 集中于无穷维动力系统的不变测度，随机波动方程的整体适定性相关问题。
