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24 April 2024

» arxiv » math-ph/0602058

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A non-variational approach to nonlinear stability in stellar dynamics applied to the King model
Yan Guo ; Gerhard Rein ; PostScript ; PDF ; Other formats ;
Date:	24 Feb 2006
Subject:	Mathematical Physics
Abstract:	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.
Source:	arXiv, math-ph/0602058
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