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Continued Gravitational Collapse for Newtonian Stars

Guo, Y; Hadžić, M; Jang, J; (2020) Continued Gravitational Collapse for Newtonian Stars. Archive for Rational Mechanics and Analysis 10.1007/s00205-020-01580-w. (In press). Green open access

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Abstract

The classical model of an isolated selfgravitating gaseous star is given by the Euler–Poisson system with a polytropic pressure law P(p) = p^{gamma}, gamma > 1. For any 1 < gamma < \frac{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.

Type: Article
Title: Continued Gravitational Collapse for Newtonian Stars
Open access status: An open access version is available from UCL Discovery
DOI: 10.1007/s00205-020-01580-w
Publisher version: https://doi.org/10.1007/s00205-020-01580-w
Language: English
Additional information: © 2020 Springer Nature Switzerland AG. This article is licensed under a Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/).
UCL classification: UCL
UCL > Provost and Vice Provost Offices
UCL > Provost and Vice Provost Offices > UCL BEAMS
UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences
UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences > Dept of Mathematics
URI: https://discovery.ucl.ac.uk/id/eprint/10111759
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