報告題目：Gibbs measures and Gibbs dynamics for nonlinear dispersive partial differential equations
報 告 人：王玉昭 副教授 英國伯明翰大學
報告時間：2024年7月12日，10：00
報告地點：數學樓第二報告廳
校内聯系人：段犇 bduan@jlu.edu.cn
報告摘要：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.
報告人簡介：王玉昭，博士，英國伯明翰大學副教授, 博士生導師。 2005年獲吉林大學數學與應用數學學士學位，2010年獲北京大學數學博士學位。自2017年8月起在英國伯明翰大學任助理教授，副教授。王玉昭教授主要從事于無窮維動力系統，随機偏微分方程，調和分析的研究 —— 集中于無窮維動力系統的不變測度，随機波動方程的整體适定性相關問題。
