On the stability properties of self-gravitating systems
Duration: 1 hour 13 mins
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| Description: |
Mahir Hadzic, University College London
12 January 2022 – 10:00 to 11:00 |
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| Created: | 2022-01-12 16:58 |
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| Collection: | Frontiers in analysis of kinetic equations |
| Publisher: | Isaac Newton Institute |
| Copyright: | Mahir Hadzic |
| Language: | eng (English) |
| Abstract: | 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. |
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