Self-Similar Gravitational Collapse for Polytropic Stars

Matthew Schrecker

doi:10.1007/978-3-031-48579-4_17

Self-Similar Gravitational Collapse for Polytropic Stars

Matthew Schrecker

Department of Mathematical Sciences

Research output: Chapter or section in a book/report/conference proceeding › Chapter or section

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).

Original language	English
Title of host publication	Extended Abstracts 2021/2022. GMC 2021
Editors	D. Cardona, J. Restrepo, M. Ruzhansky
Place of Publication	Cham, Switzerland
Publisher	Birkhäuser
Pages	169-176
Number of pages	8
ISBN (Electronic)	9783031485794
ISBN (Print)	9783031485787
DOIs	https://doi.org/10.1007/978-3-031-48579-4_17
Publication status	Published - 29 Feb 2024

Publication series

Name	Trends in Mathematics
Volume	3
ISSN (Print)	2297-0215
ISSN (Electronic)	2297-024X

Funding

Acknowledgments M. Schrecker’s research is supported by the EPSRC Post-doctoral Research Fellowship EP/W001888/1.

Funders	Funder number
Engineering and Physical Sciences Research Council	EP/W001888/1

Keywords

Euler-Poisson
Gravitational collapse
Non-linear PDE
Singularity formation

ASJC Scopus subject areas

General Mathematics

Access to Document

10.1007/978-3-031-48579-4_17

Cite this

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KW - Non-linear PDE

KW - Singularity formation

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Self-Similar Gravitational Collapse for Polytropic Stars

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Keywords

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