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Self-Similar Gravitational Collapse for Polytropic Stars

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Extended Abstracts 2021/2022 (GMC 2021)

Part of the book series: Trends in Mathematics ((RPGAPC,volume 3))

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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).

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Acknowledgements

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

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Authors and Affiliations

  1. Department of Mathematics, University of Bath, Bath, UK

    Matthew Schrecker

Authors
  1. Matthew Schrecker
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Correspondence to Matthew Schrecker .

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Editors and Affiliations

  1. Department of Mathematics: Analysis, Logic and Discrete Mathematics, Ghent University, Ghent, Belgium

    Duván Cardona

  2. Department of Mathematics: Analysis, Logic and Discrete Mathematics, Ghent University, Ghent, Belgium

    Joel Restrepo

  3. Department of Mathematics: Analysis, Logic and Discrete Mathematics, Ghent University, Ghent, Belgium

    Michael Ruzhansky

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Schrecker, M. (2024). Self-Similar Gravitational Collapse for Polytropic Stars. In: Cardona, D., Restrepo, J., Ruzhansky, M. (eds) Extended Abstracts 2021/2022. GMC 2021. Trends in Mathematics(), vol 3. Birkhäuser, Cham. https://doi.org/10.1007/978-3-031-48579-4_17

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