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Oscillations vs. relaxation in galactic dynamics

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If you have a question about this talk, please contact Daniel Boutros .

We give an overview of recent developments in the stability study of nontrivial equilibria in Newtonian (Vlasov-Poisson) and relativistic (Einstein-Vlasov) galactic dynamics. In the Newtonian setting we discuss the existence of linear oscillating modes and the validity of the gravitational Landau damping in this context. In the relativistic setting we show that the classical Antonov linear stability criterion is not true: steady galaxies with very dense cores lead to existence of growing modes. Our results highlight the importance of the Hamiltonian structure of these systems. The talk is based on published and ongoing works with Z. Lin, G. Rein, M. Schrecker, and C. Straub.

This talk is part of the Geometric Analysis & Partial Differential Equations seminar series.

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