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4 papers
Relatively non-degenerate integrated decay estimates for massless Vlasov fields on Schwarzschild spacetimes
Léo Bigorgne, Renato Velozo Ruiz
In this article, we make use of a weight function capturing the concentration phenomenon of unstable future-trapped causal geodesics. A projection , on the tangent space of th…
Future global stability of Maxwell-Jüttner equilibria and vacuum for the massless Boltzmann equation on FLRW spacetimes
Robert M. Strain, Martin Taylor, Renato Velozo Ruiz
In this work we study the general relativistic massless Boltzmann equation on Friedmann-Lemaître-Robertson-Walker spacetimes with spatial topology in the linear and…
Phase mixing and the Vlasov equation in cosmology
Martin Taylor, Renato Velozo Ruiz
We consider the Vlasov equation on slowly expanding isotropic homogeneous tori, described by the Friedmann--Lemaître--Robertson--Walker cosmological spacetimes. For expansion rate…
Decay properties for massive Vlasov fields on Schwarzschild spacetime
Renato Velozo Ruiz
In this paper, we obtain pointwise decay estimates in time for massive Vlasov fields on the exterior of Schwarzschild spacetime. We consider massive Vlasov fields supported on the…