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).
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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 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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