Analysis and PDE Seminar——Stability of some stellar models
主 题: Analysis and PDE Seminar——Stability of some stellar models
报告人: Zhiwu Lin (Georgia Institute of Technology)
时 间: 2018-06-04 15:00-16:00
地 点: Room 1303, Sciences Building No. 1
Abstract: I will discuss some recent results on the stability of spherically symmetric equilibria of several stellar models, including Euler-Poisson, Euler-Einstein and Vlasov-Einstein models. For Euler-Poisson and Euler-Einstein models, a turning point principle (TPP) for the sharp stability criterion is obtained. For both Vlasov-Einstein and Euler-Einstein models, the linear instability in the strong relativistic limit is proved. We use a combination of first order and 2nd order Hamiltonian formulations to derive the stability criterion and study the linearized equation for initial data in the energy space. This is joint work with Chongchun Zeng (on Euler-Poisson) and with Hadzic and Rein (on Euler-Einstein-Euler and Euler-Einstein).