The APDE seminar on Monday, 4/27, will be given by Juhi Jang (USC) in-person in Evans 736, and will also be broadcasted online via Zoom from 4:10pm to 5:00pm PST. To participate, please email Adam Black (adamblack@berkeley.edu).

Title: Stable Larson-Penston collapse

Abstract: I will discuss recent progress on mathematical construction of self-similar solutions to the Euler-Poisson system describing gravitational collapse and nonlinear stability of the Larson-Penston collapse against radially symmetric perturbations. At the heart of the latter stability result is the ground state character of the Larson-Penston solution featuring important monotonicity properties. The talk is based on joint works with Yan Guo, Mahir Hadzic and Matthew Schrecker.