Guo, Yan;
Hadžić, Mahir;
Jang, Juhi;
Schrecker, Matthew;
(2022)
Gravitational Collapse for Polytropic Gaseous Stars: Self-Similar Solutions.
Archive for Rational Mechanics and Analysis
, 246
pp. 957-1066.
10.1007/s00205-022-01827-8.
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Abstract
In the supercritical range of the polytropic indices gammaepsilon(1,43) we show the existence of smooth radially symmetric self-similar solutions to the gravitational Euler–Poisson system. These solutions exhibit gravitational collapse in the sense that the density blows up in finite time. Some of these solutions were numerically found by Yahil in 1983 and they can be thought of as polytropic analogues of the Larson–Penston collapsing solutions in the isothermal case gamma=1. They each contain a sonic point, which leads to numerous mathematical difficulties in the existence proof.
| Type: | Article |
|---|---|
| Title: | Gravitational Collapse for Polytropic Gaseous Stars: Self-Similar Solutions |
| Open access status: | An open access version is available from UCL Discovery |
| DOI: | 10.1007/s00205-022-01827-8 |
| Publisher version: | https://doi.org/10.1007/s00205-022-01827-8 |
| Language: | English |
| Additional information: | © 2022 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-pp.ucl.ac.uk/id/eprint/10160185 |
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