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Nonlinear Analysis

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.

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