Topic: Separable Hamiltonian PDEs and Turning point principle for stability of gaseous stars

Lecturer: Zeng Chongchun

Date: May 28, 2021

Time: 10:00

Venue: Online, Tencent Meeting ID: 471-629-795

Organizer: School of Mathematical Sciences；Institute of Applied System Analysis

Description: I will discuss some recent results (with Zhiwu Lin) on a stability criterion for non-rotating gaseous stars modeled by the Euler-Poisson system. Under some general assumptions on the equation of states, we proved a turning point principle that the stability of the stars is largely determined by the mass-radius curve parametrized by the center density. In particular, the stability can only change at points with an extremal mass. This stability criterion and the semi-group estimates for the linearized equation Euler-Poisson equation are obtained as a special case in a general framework of linear separable Hamiltonian PDEs.