Steady states in galactic dynamics
type: Item
instance of: scholarly article
title: Steady states in galactic dynamics
zbMATH Open document ID: 1061.85001
published in: Archive for Rational Mechanics and Analysis
publication date: 2004-11-05T00:00:00Z
review text: By minimizing the energy for the Vlasov-Poisson system under a constraint, Guo and Rein have constructed a large class of isotropic, spherically symmetric steady states. They have shown that an isolated minimizer is automatically dynamically stable under general (i.e., not necessarily symmetric) perturbations. The main result of the present work is to remove the assumption that the minimizer must be isolated, so minimizers are stable even if they are not isolated. It is also shown that the Lagrange multipliers associated with all minimizers have the same value. Finally, an example where two distinct minimizers exist is studied numerically.
Mathematics Subject Classification ID: 85A05
Mathematics Subject Classification ID: 83B05
zbMATH DE Number: 2113854
zbMATH Keywords: galaxies
zbMATH Keywords: steady states
zbMATH Keywords: Vlasov-Poisson system
zbMATH Keywords: variational principle
zbMATH Keywords: gravitation
author: Jack Schaeffer
reviewed by: Claudia-Veronika Meister
MaRDI profile type: Publication
full work available at URL: s00205-004-0308-7
OpenAlex ID: W2110143278
DOI: 10.1007/S00205-004-0308-7
description: scientific article; zbMATH DE number 2113854