时间：2019年8月22日上午10:00-11:00
地点：旗山校区理工楼北楼601报告厅
主讲：美国佐治亚理工学院教授，林治武
主办：数学与信息学院, 福建省分析数学及应用重点实验室, 数学研究中心参加对象：相关专业老师及学生
报告摘要: I will discuss some recent results (with Chongchun Zeng) on stability criterion for non-rotating gaseous stars modeled by the Euler-Poisson system. Under general assumptions on the equation of states, we prove a turning point principle that the stability of the stars is entirely determined by the mass-radius curve parametrized by the center density. In particular, the stability can only changed at points with an extremal mass. We use a combination of first order and 2nd order Hamiltonian formulations to get the stability criterion and the semi-group estimates for the linearized equation. If time permits, I will briefly describe the extension of this approach to study stability of rotating stars, and relativistic stars and star clusters.
报告人简介：林治武教授是北京大学学士, 日本东京大学硕士, 美国布朗大学博士，现为美国佐治亚理工学院教授。主要研究领域是流体动力学, 稳定性理论和等离子物理, 研究成果在《Invent. Math.》（四大数学顶级刊物之一）、《Comm. Pure Appl. Math.》、《Arch. Ration. Mech. Anal.》、《Comm. Math. Phys.》、《J. Funct. Anal.》、《SIAM J. Math. Anal.》等期刊上发表多篇研究论文，多次获得美国国家自然科学基金资助。