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On the stability properties of self-gravitating systems

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FKTW02 - Frontiers in analysis of kinetic equations

We give an overview of recent developments in the stability study of nontrivial equilibria in relativistic (Einstein-Vlasov) and nonrelativistic (Vlasov-Poisson) galactic dynamics. In the relativistic setting we focus on the rigorous proof of the Zeldovich stability scenario and prove that galaxies with very dense cores lead to instabilities driven by a growing mode. In the Newtonian setting we discuss the existence of oscillating modes and the implications for the (in)validity of linear Landau damping in this context. Our results highlight the importance of the Hamiltonian structure of these systems. The talk is based on joint works with Z. Lin, G. Rein, and C. Straub. 

This talk is part of the Isaac Newton Institute Seminar Series series.

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