Isotropic steady states in galactic dynamics revised
arXiv:math-ph/0010031 · doi:10.1007/s002200100434
Abstract
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.
31 pages, LaTeX
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- Stable steady states in stellar dynamics
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