Isotropic Steady States in Galactic Dynamics
Isotropic Steady States in Galactic Dynamics
复制标题
银河动力学中的各向同性稳态
DOI：
10.1007/s002200100434
复制
发表时间：
2000
影响因子：
2.4
通讯作者：
G. Rein
中科院分区：
文献类型：
--
作者：
Yan Guo;G. Rein
摘要：本文完成了我们早期关于恒星动力学情况下 Vlasov-Poisson 系统稳态解非线性稳定性的结果。通过最小化质量卡西米尔约束下的能量，我们构建了一大类各向同性、球对称稳态，并证明了它们相对于{一般}的非线性稳定性，即。即，不一定是对称扰动。该类在某种意义上是最优的，特别是，它包括所有有限质量的多变体，并且对粒子能量的依赖性递减。
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.