Analisi Newtonian gravitational collapse beyond dust dynamics Juhi JANG 08-11-2019 - 14:30 Largo San Leonardo Murialdo,1 - Pal.C - Aula 311
The classical model of an isolated self-gravitation gaseous star is the Euler-Poisson system with a polytropic pressure law. For any adiabatic exponent 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, with continuous mass absorption at the origin. The leading order singular behavior is described by an explicit collapsing solution of the pressureless Euler-Poisson system. |