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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…
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…
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…