Stability of disk-like galaxies – Part I: Stability via reduction
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Publication:5444085
DOI10.1524/anly.2006.26.4.507zbMath1135.35084arXivmath-ph/0605070OpenAlexW3103765674MaRDI QIDQ5444085
Publication date: 22 February 2008
Published in: Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math-ph/0605070
nonlinear stabilitygalactic dynamicsenergy-Casimir functionaldisk-like galaxiesVlasorv-Poisson system
Stability in context of PDEs (35B35) PDEs in connection with relativity and gravitational theory (35Q75) Galactic and stellar dynamics (85A05)
Related Items (8)
Stability and instability results for equilibria of a (relativistic) self-gravitating collisionless gas—a review ⋮ Energy-Casimir method for the dynamical systems with modified gravitational potential ⋮ Localized minimizers of flat rotating gravitational systems ⋮ Stationary solutions of the flat Vlasov-Poisson system ⋮ The Einstein-Vlasov system/kinetic theory ⋮ Stability of disk-like galaxies – Part II: The Kuzmin disk ⋮ Flat galaxies with dark matter halos --- existence and stability ⋮ Existence and stability of equilibrium solutions of the Vlasov equation with a modified gravitational potential
Cites Work
- Global classical solutions of the Vlasov-Poisson system in three dimensions for general initial data
- On nonlinear stability of polytropic galaxies
- Stable steady states in stellar dynamics
- Nonlinear stability of gaseous stars
- Flat steady states in stellar dynamics -- existence and stability
- Steady states in galactic dynamics
- A non-variational approach to nonlinear stability in stellar dynamics applied to the King model
- Reduction and a Concentration-Compactness Principle for Energy-Casimir Functionals
- Global existence of smooth solutions to the vlasov poisson system in three dimensions
- Isotropic steady states in galactic dynamics
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