星系动力学Camm型定态的存在性和稳定性
Existence and stability of Camm type steady states in galactic dynamics
摘要:
证明了引力情形下Vlasov-Poisson系统Camm型定态的存在性和非线性稳定性。本文证明了一种方法的有效性的存在性和稳定性问题的稳定状态,这是在以前的工作中所使用的作者:的稳定状态得到的能量Casimir功能的极小,并从这个事实推导出他们的动态稳定性。
英文摘要:
We prove the existence and nonlinear stability of Camm type steady states of the Vlasov-Poisson system in the gravitational case. The paper demonstrates the effectiveness of an approach to the existence and stability problem for steady states, which was used in previous work by the authors: The steady states are obtained as minimizers of an energy-Casimir functional, and from this fact their dynamical stability is deduced.
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