Isotropic steady states in galactic dynamics revised
Guo, Yan ; Rein, Gerhard
arXiv, 0010031 / Harvested from arXiv
Text on arXiv
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.
Publié le : 2000-10-23
Classification:  Mathematical Physics,  Mathematics - Analysis of PDEs,  85A05,  35B35 
@article{0010031,
     author = {Guo, Yan and Rein, Gerhard},
     title = {Isotropic steady states in galactic dynamics revised},
     journal = {arXiv},
     volume = {2000},
     number = {0},
     year = {2000},
     language = {en},
     url = {http://dml.mathdoc.fr/item/0010031}
}

Guo, Yan; Rein, Gerhard. Isotropic steady states in galactic dynamics revised. arXiv, Tome 2000 (2000) no. 0, . http://gdmltest.u-ga.fr/item/0010031/