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PDE Seminar - Juhi Jang

PDE Seminar
September 24, 2019
1:50 pm - 2:50 pm
Math Tower 154

Title: Newtonian gravitational collapse beyond dust dynamics

Speaker: Juhi Jang, University of South California

Abstract: 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.

Seminar URL: https://research.math.osu.edu/pde/

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Seminar - PDE