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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.
Bd. 88
(2026)
.
- 104467.
ISSN 1878-5719
DOI: https://doi.org/10.1016/j.nonrwa.2025.104467
Abstract
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.
Weitere Angaben
| Publikationsform: | Artikel in einer Zeitschrift |
|---|---|
| Begutachteter Beitrag: | Ja |
| Keywords: | Vlasov-Poisson system; Steady states; Einstein-Vlasov system |
| Institutionen der Universität: | Fakultäten > Fakultät für Mathematik, Physik und Informatik > Mathematisches Institut > Professur Angewandte Mathematik > Professur Angewandte Mathematik - Univ.-Prof. Dr. Gerhard Rein Profilfelder > Advanced Fields > Nichtlineare Dynamik |
| Titel an der UBT entstanden: | Ja |
| Themengebiete aus DDC: | 500 Naturwissenschaften und Mathematik > 510 Mathematik |
| Eingestellt am: | 31 Aug 2026 05:29 |
| Letzte Änderung: | 31 Aug 2026 05:29 |
| URI: | https://eref.uni-bayreuth.de/id/eprint/99325 |