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SUMMARY:Stability of Minkowski space for the massless Einstein-Vlasov syst
 em without compact support - Jacques Smulevici (Sorbonne Université)
DTSTART:20220111T090000Z
DTEND:20220111T100000Z
UID:TALK166654@talks.cam.ac.uk
DESCRIPTION:I will present joint work with L&eacute\;o Bigorgne\, David Fa
 jman\, J&eacute\;r&eacute\;mie Joudioux and Maximilian Thaller concerning 
 the asymptotic stability of the trivial solution to the massless Einstein-
 Vlasov system. In particular\, in contrast with previous work on the subje
 ct\, we do not assume any compact support assumptions on the initial data 
 of the Vlasov field in space or the momentum variables and in fact\, the i
 nitial decay in v is the minimum one so that the system can be interpreted
  classically. Our proof is based on vector field and weighted vector field
  techniques for Vlasov fields and heavily relies on several structural pro
 perties of the massless Vlasov equation\, similar to the null and weak nul
 l conditions.
LOCATION:Seminar Room 1\, Newton Institute
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