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

Details 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

2006-02-24

arxiv.org/abs/math-ph/0602058v1

Commun. Math. Phys. 271, 489-509 (2007)

Physics

Mathematical Physics

Scientific paper

10.1007/s00220-007-0212-8

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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