The APDE seminar on Monday, 9/15, will be given by our own Ely Sandine (UC Berkeley) in-person in Evans 736, and will also be broadcasted online via Zoom from 4:10pm to 5:00pm PDT. To participate, please email Sung-Jin Oh ().

Title: On Self-Similar Blow-up for the Euler-Poisson System

Abstract: The Euler-Poisson system describes the evolution of a self-gravitating compressible fluid. I will present recent work proving the existence of certain self-similar implosion profiles for this system. These solutions belong to a family numerically conjectured by Hunter. I will discuss related PDEs, previous results for this system and aspects of the proof.