Stability of disk-like galaxies--Part I: Stability via reduction

TL;DR

This paper proves the existence and stability of flat steady states in disk-like galaxy models using a reduction method that connects the Vlasov-Poisson and Euler-Poisson systems, extending previous theoretical results.

Contribution

It introduces a reduction procedure that links the stability analysis of the Vlasov-Poisson system to the Euler-Poisson system, advancing the theoretical understanding of galaxy stability.

Findings

Existence of stable flat steady states in the Vlasov-Poisson system.

Extension of stability results through a reduction to Euler-Poisson system.

Application of variational methods to astrophysical galaxy models.

Abstract

We prove the existence and stability of flat steady states of the Vlasov-Poisson system, which in astrophysics are used as models of disk-like galaxies. We follow the variational approach developed by Guo and Rein for this type of problems and extend previous results of Rein. In particular, we employ a reduction procedure which relates the stability problem for the Vlasov-Poisson system to the analogous question for the Euler-Poisson system.