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SUMMARY:Stability problem for the Einstein-Vlasov system  - Mahir Hadzic (
 MIT)
DTSTART:20130619T104000Z
DTEND:20130619T113000Z
UID:TALK45886@talks.cam.ac.uk
CONTACT:HoD Secretary\, DPMMS
DESCRIPTION:In the first part of the talk I will introduce the Einstein-Vl
 asov system and survey some of the known mathematical results for this non
 -linear coupled system of equations. I will then formulate the question of
  nonlinear stability/instability of steady state galaxies and present a co
 ercivity result for the second variation of the ADM-mass. As a consequence
 \, we obtain the linear stability assuming that the central red-shift of t
 he steady state galaxy is suitably small. This is consistent with the nume
 rical observations of Zeldovitch from 1970's\, that additionally suggest a
 n instability when the central red-shift is large. This is joint work with
  G. Rein. 
LOCATION:MR12
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