题目: Turning point principle for the stability of stellar models
报告人：Prof. Zhiwu LIN，Georgia Institute of Technology
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.
时间： 2019年8月6日 16:00-18:00