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A non-variational approach to nonlinear stability in stellar dynamics applied to the King model

Yan Guo·Gerhard Rein
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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.

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Yan Guo, Gerhard Rein. 2006-02-24. A non-variational approach to nonlinear stability in stellar dynamics applied to the King model. https://doi.org/10.1007/s00220-007-0212-8

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