## Title data

Ramming, Tobias ; Rein, Gerhard:

**Oscillating solutions of the Vlasov–Poisson system : A numerical
investigation.**

*In:* Physica D.
Vol. 365
(February 2018)
.
- pp. 72-79.

ISSN 0167-2789

DOI: https://doi.org/10.1016/j.physd.2017.10.013

## Abstract in another language

Numerical evidence is given that spherically symmetric perturbations of stable spherically symmetric

steady states of the gravitational Vlasov–Poisson system lead to solutions which oscillate in time. The

oscillations can be periodic in time or damped. Along one-parameter families of polytropic steady states

we establish an Eddington–Ritter type relation which relates the period of the oscillation to the central

density of the steady state. The numerically obtained periods are used to estimate possible periods for

typical elliptical galaxies.

## Further data

Item Type: | Article in a journal |
---|---|

Refereed: | Yes |

Keywords: | Vlasov–Poisson system; Oscillations of galaxies |

Institutions of the University: | Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics > Professorship Applied Mathematics (Applied Analysis) > Professorship Applied Mathematics (Applied Analysis) - Univ.-Prof. Dr. Gerhard Rein Faculties Faculties > Faculty of Mathematics, Physics und Computer Science Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics > Professorship Applied Mathematics (Applied Analysis) |

Result of work at the UBT: | Yes |

DDC Subjects: | 500 Science > 510 Mathematics 500 Science > 520 Astronomy |

Date Deposited: | 29 Jan 2018 10:05 |

Last Modified: | 29 Jan 2018 10:05 |

URI: | https://eref.uni-bayreuth.de/id/eprint/42142 |