Stability of spherically symmetric steady states in galactic dynamics against general perturbations

Abstract

Certain steady states of the Vlasov-Poisson system can be characterized as minimizers of an energy-Casimir functional, and this fact implies a nonlinear stability property of such steady states. In previous investigations by Y. Guo and the author stability was obtained only with respect to spherically symmetric perturbations. In the present investigation we show how to remove this unphysical restriction.

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References in corpus (3)

• Stable steady states in stellar dynamics
• Compact support of spherically symmetric equilibria in non-relativistic and relativistic galactic dynamics
• Flat steady states in stellar dynamics - existence and stability

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• Radial orbit instability as a dissipation-induced phenomenon
• Asymptotic behavior and orbital stability of galactic dynamics in relativistic scalar gravity
• Existence and stability of static shells for the Vlasov-Poisson System with a fixed central point mass
• The Einstein-Vlasov system
• Reduction and a concentration-compactness principle for energy-Casimir functionals
• On the two and one-half dimensional Vlasov-Poisson system with an external magnetic field: global well-posedness and stability of confined steady states