1 citations · 3 across the 7 of their papers we have counts for
9 papers
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…
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…
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…
Late-time asymptotics of small data solutions for the Vlasov-Poisson system
Léo Bigorgne, Renato Velozo Ruiz
In this paper, we study the precise late-time asymptotic behaviour of small data solutions for the Vlasov-Poisson system in dimension three. First, we show that the spatial density…
A note on integrated local energy decay estimates for spherically symmetric black hole spacetimes
Gustav Holzegel, Georgios Mavrogiannis, Renato Velozo Ruiz
We present short proofs of integrated local energy decay estimates on Schwarzschild, extremal Reissner-Nordström, and Schwarzschild-de Sitter spacetimes. The proofs employ novel gl…
Decay properties of Vlasov fields on non-trapping asymptotically hyperbolic manifolds
Anibal Velozo Ruiz, Renato Velozo Ruiz
In this paper, we study pointwise decay estimates in time for Vlasov fields on non-trapping asymptotically hyperbolic manifolds. We prove optimal decay estimates in time for the sp…
Modified scattering of small data solutions to the Vlasov-Poisson system with a trapping potential
Léo Bigorgne, Anibal Velozo Ruiz, Renato Velozo Ruiz
In this paper, we study small data solutions to the Vlasov-Poisson system with the simplest external potential, for which unstable trapping holds for the associated Hamiltonian flo…
Small data solutions for the Vlasov-Poisson system with a trapping potential
Anibal Velozo Ruiz, Renato Velozo Ruiz
In this paper, we study small data solutions for the Vlasov-Poisson system with the simplest external potential, for which unstable trapping holds for the associated Hamiltonian fl…