报告题目：Hamiltonian PDEs and invariant measures
报 告 人：王玉昭 教授 英国伯明翰大学
报告时间：2024年10月19日，19：00-20：30
报告链接：#腾讯会议：439-570-810
校内联系人：段犇 bduan@jlu.edu.cn
报告摘要：In this lecture, we will explore several examples of Hamiltonian partial differential equations (PDEs), primarily known as dispersive PDEs. Our focus will be on the Schrödinger equation, the wave equation, and the Korteweg–De Vries (KdV) equation. These equations are fundamental in understanding various physical phenomena and have significant implications in both theoretical and applied mathematics.
A crucial aspect of our discussion will be the theory of invariant measures, which is essential for analysing the long-time behaviour of these equations, especially when dealing with solutions of rough regularity. This area of research has gained considerable attention and importance due to its applications in math physics, such as quantum field theory (QFT) and statistical physics.
We will also highlight some of the recent advancements in this field, providing insights into ongoing research and emerging trends.
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。
