Physics – Mathematical Physics
Scientific paper
2000-10-23
Commun. Math. Phys. 219, 607 - 629 (2001)
Physics
Mathematical Physics
31 pages, LaTeX
Scientific paper
10.1007/s002200100434
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.
Guo Yan
Rein Gerhard
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