Seminars & Colloquia Calendar
Continued Gravitational Collapse for Newtonian Stars
Yan Guo, Brown University
Location: Hill 705
Date & time: Wednesday, 05 December 2018 at 1:40PM - 3:00PM
Abstract: The classical model of an isolated self-gravitating gaseous star is given by the Euler-Poisson system with a polytropic pressure law. For polytropic exponent between 1 and 4/3, we construct collapsing solutions to the Euler-Poisson system whose density is in general space inhomogeneous and undergoes gravitational blowup along a prescribed space-time surface, with continuous mass absorption at the origin. The leading order singular behavior is described by an explicit collapsing dust solution of the pressureless Euler-Poisson system.
This is a joint work with Juhi Jang and Mahir Hadzic.