The present paper completes our earlier results on nonlinear stability of stationary solutions of the Vlasov--Poisson system in the stellar dynamics case. By minimizing the energy under a mass-Casimir constraint we construct a large class of isotropic, spherically symmetric steady states and prove their nonlinear stability against {general}, i. e., not necessarily symmetric perturbations. The class is optimal in a certain sense, in particular, it includes all polytropes of finite mass with decreasing dependence on the particle energy.
This is a preview of subscription content, log in via an institution to check access.
Access this article Subscribe and saveSpringer+ Basic
€34.99 /Month
Price includes VAT (Germany)
Instant access to the full article PDF.
Similar content being viewed by others Explore related subjectsDiscover the latest articles and news from researchers in related subjects, suggested using machine learning. Author information Authors and AffiliationsLefschetz Center for Dynamical Systems, Division of Applied Mathematics, Brown University,¶Providence, RI 02912, USA, , , , , , US
Yan Guo
Mathematisches Institut der Universität München, Theresienstr. 39, 80333 München, Germany, , , , , , DE
Gerhard Rein
Received: 24 October 2000 / Accepted: 7 January 2001
About this article Cite this articleGuo, Y., Rein, G. Isotropic Steady States in Galactic Dynamics. Commun. Math. Phys. 219, 607–629 (2001). https://doi.org/10.1007/s002200100434
Issue Date: June 2001
DOI: https://doi.org/10.1007/s002200100434
RetroSearch is an open source project built by @garambo | Open a GitHub Issue
Search and Browse the WWW like it's 1997 | Search results from DuckDuckGo
HTML:
3.2
| Encoding:
UTF-8
| Version:
0.7.4