The Vlasov-Poisson System for Stellar Dynamics in Spaces of Constant Curvature

The Vlasov-Poisson System for Stellar Dynamics in Spaces of Constant Curvature

We obtain a natural extension of the Vlasov-Poisson system for stellar dynamics to spaces of constant Gaussian curvature \(\kappa\ne 0\): the unit sphere \(\mathbb S^2\), for \(\kappa>0\), and the unit hyperbolic sphere \(\mathbb H^2\), for \(\kappa

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Veröffentlicht in:arXiv.org 2015-06
Hauptverfasser: Diacu, Florin, Ibrahim, Slim, Lind, Crystal, Shen, Shengyi
Format: Artikel
Sprache:eng
Schlagworte:
Curvature
Landau damping
Mathematics - Analysis of PDEs
Mathematics - Dynamical Systems
Well posed problems
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Zusammenfassung:We obtain a natural extension of the Vlasov-Poisson system for stellar dynamics to spaces of constant Gaussian curvature \(\kappa\ne 0\): the unit sphere \(\mathbb S^2\), for \(\kappa>0\), and the unit hyperbolic sphere \(\mathbb H^2\), for \(\kappa
ISSN:2331-8422
DOI:10.48550/arxiv.1506.07090