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SEMINARS
Continued Gravitational Collapse for Newtonian Stars
时间  Datetime
2019-07-25 13:30 — 14:30 
地点  Venue
Middle Lecture Room(703)
报告人  Speaker
Prof. Yan GUO
单位  Affiliation
Brown University
邀请人  Host
王亚光
报告摘要  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.