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Stability of Minkowski space for the massless Einstein-Vlasov system without compact support

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FKTW02 - Frontiers in analysis of kinetic equations

I will present joint work with Léo Bigorgne, David Fajman, Jérémie 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 subject, 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 initial 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 properties of the massless Vlasov equation, similar to the null and weak null conditions.

This talk is part of the Isaac Newton Institute Seminar Series series.

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