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SUMMARY:On the stability properties of self-gravitating systems - Mahir Ha
 dzic (University College London)
DTSTART:20220112T100000Z
DTEND:20220112T110000Z
UID:TALK167423@talks.cam.ac.uk
DESCRIPTION:\n\n\n\nWe give an overview of recent developments in the stab
 ility study of nontrivial equilibria in relativistic (Einstein-Vlasov) and
  nonrelativistic (Vlasov-Poisson) galactic dynamics. In the relativistic s
 etting 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 o
 scillating modes and the implications for the (in)validity of linear Landa
 u damping in this context. Our results highlight the importance of the Ham
 iltonian structure of these systems. The talk is based on joint works with
  Z. Lin\, G. Rein\, and C. Straub.&nbsp\;\n\n\n\n
LOCATION:Seminar Room 1\, Newton Institute
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