Numerical experiments on stationary, oscillating, and damped spherical galaxy models

Title data

Straub, Christopher:
Numerical experiments on stationary, oscillating, and damped spherical galaxy models.
In: Physica D: Nonlinear Phenomena. Vol. 470 (2024) . - 134351.
ISSN 1872-8022
DOI: https://doi.org/10.1016/j.physd.2024.134351

Official URL:

Abstract in another language

We numerically analyse solutions of the spherically symmetric gravitational Vlasov–Poisson system close to compactly supported stable steady states. We observe either partially undamped oscillations or macroscopically damped solutions. We investigate for many steady states to which of these behaviours they correspond. A linear relation between the exponents of polytropic steady states and the qualitative behaviour close to them is identified. Undamped oscillations are also observed around not too concentrated King models and around all shells with a sufficiently large vacuum region. We analyse all solutions both at the non-linear and linearised level and find that the qualitative behaviours are identical at both. To relate the observed phenomena to theoretical results, we further include a comprehensive numerical study of the radial particle periods in the equilibria.

Further data

Item Type:	Article in a journal
Refereed:	Yes
Keywords:	Vlasov–Poisson system; Oscillations of galaxies; Radial particle periods; Galactic damping
Institutions of the University:	Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics > Chair Mathematics VI (Nonlinear Analysis and Mathematical Physics) > Chair Mathematics VI (Nonlinear Analysis and Mathematical Physics) - Univ.-Prof. Dr. Thomas Kriecherbauer 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 > Chair Mathematics VI (Nonlinear Analysis and Mathematical Physics)
Result of work at the UBT:	Yes
DDC Subjects:	500 Science > 510 Mathematics
Date Deposited:	22 Feb 2025 22:01
Last Modified:	09 Apr 2025 10:15
URI:	https://eref.uni-bayreuth.de/id/eprint/92521