Nonlinear Stability of Newtonian Galaxies and Stars from a Mathematical Perspective

Details Nonlinear Stability of Newtonian Galaxies and Stars from a Mathematical Perspective Nonlinear Stability of Newtonian Galaxies and Stars from a Mathematical Perspective

2005-01-25

arxiv.org/abs/astro-ph/0501541v1

Nonlinear Dynamics in Astronomy and Physics, Annals of the New York Academy of Sciences Vol. 1045, 103-119 (2005)

Astronomy and Astrophysics

Astrophysics

18 pages, LaTeX

Scientific paper

10.1196/annals.1350.010

The stability of equilibrium configurations of galaxies or stars are time honored problems in astrophysics. We present mathematical results on these problems which have in recent years been obtained by Yan Guo and the author in the context of the Vlasov-Poisson and the Euler-Poisson model. Based on a careful analysis of the minimization properties of conserved quantities--the total energy and so-called Casimir functionals--non-linear stability results are obtained for a wide class of equilibria.

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