at Google ScholarTitle data
Andréasson, Håkan ; Kunze, Markus ; Rein, Gerhard:
Steady states of the spherically symmetric Vlasov-Poisson system as fixed points of a mass-preserving algorithm.
In: Nonlinear Analysis: Real World Applications.
Vol. 88
(2026)
.
- 104467.
ISSN 1878-5719
DOI: https://doi.org/10.1016/j.nonrwa.2025.104467
Abstract in another language
We give a new proof for the existence of spherically symmetric steady states to the Vlasov-Poisson system, following a strategy that has been used successfully to approximate axially symmetric solutions numerically, both to the Vlasov–Poisson system and to the Einstein–Vlasov system. There are several reasons why a mathematical analysis of this numerical scheme is important. A generalization of the present result to the case of flat axially symmetric solutions would prove that the steady states obtained numerically in Andréasson and Rein (2015) do exist. Moreover, in the relativistic case the question whether a steady state can be obtained by this scheme seems to be related to its dynamical stability. This motivates the desire for a deeper understanding of this strategy.
Further data
| Item Type: | Article in a journal |
|---|---|
| Refereed: | Yes |
| Keywords: | Vlasov-Poisson system; Steady states; Einstein-Vlasov system |
| Institutions of the University: | Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics > Professorship Applied Mathematics > Professor Applied Mathematics - Univ.-Prof. Dr. Gerhard Rein Profile Fields > Advanced Fields > Nonlinear Dynamics |
| Result of work at the UBT: | Yes |
| DDC Subjects: | 500 Science > 510 Mathematics |
| Date Deposited: | 31 Aug 2026 05:29 |
| Last Modified: | 31 Aug 2026 05:29 |
| URI: | https://eref.uni-bayreuth.de/id/eprint/99325 |