A Non-Variational Approach to Nonlinear Stability in Stellar Dynamics Applied to the King Model
A Non-Variational Approach to Nonlinear Stability in Stellar Dynamics Applied to the King Model
复制标题
应用于 King 模型的恒星动力学非线性稳定性非变分方法
DOI：
10.1007/s00220-007-0212-8
复制
发表时间：
2006
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
在以前的工作Y。Guo和G. Rein，恒星动力学平衡的非线性稳定性，即，Vlasov-Poisson系统的定态解。在这里，我们提出了一个不同的，非变分技术，并使用它来证明非线性稳定的国王模型对一类球对称，动态访问的扰动。这个模型在天体物理学中非常重要，并且是以前的技术所无法达到的。
In previous work by Y. Guo and G. Rein, nonlinear stability of equilibria in stellar dynamics, i.e., of steady states of the Vlasov-Poisson system, was accessed by variational techniques. Here we propose a different, non-variational technique and use it to prove nonlinear stability of the King model against a class of spherically symmetric, dynamically accessible perturbations. This model is very important in astrophysics and was out of reach of the previous techniques.