PDE Seminar - Juhi Jang

September 11, 2019
Tuesday, September 24, 2019 - 1:50pm to 2:50pm
Math Tower 154
PDE Seminar

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/

S M T W T F S
 
 
1
 
2
 
3
 
4
 
5
 
6
 
7
 
8
 
9
 
10
 
11
 
12
 
13
 
14
 
15
 
16
 
17
 
18
 
19
 
20
 
21
 
22
 
23
 
24
 
25
 
26
 
27
 
28
 
29
 
30
 
31