Nonlinear Partial Differential Equations

Date: April 25, 2023

Time: 3:00PM - 4:00PM

Location: BLOC 302

Speaker: Juhi Jang, University of Southern California

Title: Dynamics of Newtonian stars

Abstract: A classical model to describe the dynamics of Newtonian stars is the gravitational Euler-Poisson system. The Euler-Poisson system admits a wide range of star solutions that are in equilibrium or expand for all time or collapse in a finite time or rotate. In this talk, I will discuss some recent progress on those star solutions with focus on expansion and collapse. If time permits, I will also discuss the non-radial stability of self-similarly expanding Goldreich-Weber star solutions.