Stability problem for the Einstein-Vlasov system

Add to your list(s) Download to your calendar using vCal

• Mahir Hadzic (MIT)
• Wednesday 19 June 2013, 11:40-12:30
• MR12.

If you have a question about this talk, please contact HoD Secretary, DPMMS.

In the first part of the talk I will introduce the Einstein-Vlasov 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 coercivity result for the second variation of the ADM -mass. As a consequence, we obtain the linear stability assuming that the central red-shift of the steady state galaxy is suitably small. This is consistent with the numerical observations of Zeldovitch from 1970’s, that additionally suggest an instability when the central red-shift is large. This is joint work with G. Rein.

This talk is part of the Conference on Mathematical Topics in Kinetic Theory series.

This talk is included in these lists:

• All CMS events
• CMS Events
• DAMTP info aggregator
• Interested Talks
• MR12
• bld31

Note that ex-directory lists are not shown.