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Self-similar gravitational collapse for polytropic stars

Schrecker, Matthew; (2024) Self-similar gravitational collapse for polytropic stars. In: Restrepo, Joel and Cardona, Duvan and Ruzhansky, Michael, (eds.) Extended abstracts 2021/2022 - Methusalem lectures. Birkhäuser: Basel, Switzerland.

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Abstract

We describe the construction of self-similar solutions to the gravitational Euler-Poisson equations for polytropic gases, providing exact self-similar profiles for the gravitational collapse of stars. These results are based on joint work with Guo et al. (Arch. Rat. Mech. Anal. 246:957–1066, 2022).

Type: Book chapter
Title: Self-similar gravitational collapse for polytropic stars
DOI: 10.1007/978-3-031-48579-4_17
Publisher version: https://doi.org/10.1007/978-3-031-48579-4_17
Language: English
Additional information: This version is the author accepted manuscript. For information on re-use, please refer to the publisher’s terms and conditions.
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/10175693
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