Steady states of the spherically symmetric Vlasov-Poisson system as fixed points of a mass-preserving algorithm

Autor:	Andréasson, Håkan, Kunze, Markus, Rein, Gerhard
Rok vydání:	2024
Předmět:	Mathematics - Analysis of PDEs General Relativity and Quantum Cosmology Mathematical Physics
Druh dokumentu:	Working Paper
Popis:	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 \cite{AR3} 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. Comment: 11 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2412.01544 Zobrazit plný text záznamu View this record from Arxiv