Скачать или смотреть FKTW02 | Dr. Martin Taylor | Stability of isolated vacuum systems

FKTW02 | Dr. Martin Taylor | Stability of isolated vacuum systems in general relativistic kinetic theory

Speaker: Dr Martin Taylor (Imperial College London)

Date: 10th Jan 2022 - 16:00 to 17:00

Venue: INI Seminar Room 1

Title: Stability of isolated vacuum systems in general relativistic kinetic theory

Event: (FKTW02) Frontiers in analysis of kinetic equations

Abstract: I will introduce the Einstein--Vlasov system, the governing equations of collisionless kinetic theory in general relativity, before presenting theorems on the stability of certain stationary vacuum solutions. The first theorems concern the nonlinear stability of the trivial solution, Minkowski space, for both the Einstein--massless Vlasov and Einstein--massive Vlasov systems. The massive case is joint with Hans Lindblad. Then I will present a theorem, joint with Mihalis Dafermos, Gustav Holzegel and Igor Rodnianski, on the full finite codimension nonlinear stability of the Schwarzschild family of black holes in vacuum.

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