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

dc.creatorGuo, Yan
dc.creatorRein, Gerhard
dc.date2006-02-24
dc.date.accessioned2026-07-07T08:01:32Z
dc.date.available2026-07-07T08:01:32Z
dc.descriptionIn 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.
dc.identifierhttps://arxiv.org/abs/math-ph/0602058
dc.identifierhttp://arxiv.org/abs/math-ph/0602058
dc.identifierCommun. Math. Phys. 271, 489-509 (2007)
dc.identifierdoi:10.1007/s00220-007-0212-8
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/128937
dc.subjectMathematical Physics
dc.subject35B35, 85A05
dc.titleA non-variational approach to nonlinear stability in stellar dynamics applied to the King model
dc.typetext

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