2022 数学物理与分析
学术报告
报告题目：Stability of rotating stars
报告人：王钰聪博士后
报告时间：2022/12/1（周四）9:00-10:00
报告形式：腾讯会议
会议ID：531 837 1238
报告摘要：I will discuss some recent results with Zhiwu Lin on stability/instability of rotating stars modeled by Euler-Poisson systems. When the angular velocity of the star is Rayleigh stable, we proved a sharp stability criterion for axi-symmetric perturbations. By using this stability criterion, we proved that for a family of slowly rotating stars parameterized by the center density with fixed angular velocity profile, the turning point principle is not true. By contrast, we proved that the turning point principle is true for the family of slow rotating stars with fixed angular momentum distribution. When the angular velocity is Rayleigh unstable, we proved linear instability of rotating stars. In this talk, I will show some examples of how to get the Hamiltonian form of linearized PDEs.
报告人简介：王钰聪，北京大学数学科学学院博士后，2021年博士毕业于厦门大学，师从谭忠教授，2018年至2020年在佐治亚理工学院林治武教授处联合培养。主要研究方向为气态星体的稳定性，不稳定性问题。