Continued gravitational collapse for Newtonian stars

PDE Seminar
Thursday, January 9, 2020 - 3:05pm for 1 hour (actually 50 minutes)
Skiles 005
Mahir Hadzic – University College London –
Zhiwu Lin

The basic model of an isolated self-gravitating gaseous star is given by the gravitational Euler-Poisson system. For any value of the adiabatic index strictly between 1 and 4/3 we construct an infinite-dimensional family of collapsing solutions to the Euler-Poisson system whose density is in general space inhomogeneous and undergoes gravitational blowup along a prescribed space-time surface in the Lagrangian coordinates. The leading order singular behaviour is driven by collapsing dust solutions. This is a joint work with Yan Guo (Brown) and Juhi Jang (USC).