24 citations · 75 across the 12 of their papers we have counts for
14 papers
Global dynamics of Vlasov--wave systems without the null condition under exponential momentum decay
Léo Bigorgne
We prove global existence and modified scattering for solutions to relativistic Vlasov--wave systems without null structure, arising from small distribution functions. When the hom…
Homeomorphic modified wave operators for the Vlasov-Poisson system
Léo Bigorgne
We prove modified scattering for small data solutions to the Vlasov-Poisson system in a functional framework where the initial data, scattering states, and asymptotic convergence a…
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…
Scattering map for the Vlasov-Maxwell system around source-free electromagnetic fields
Léo Bigorgne
We construct an isometric modified scattering operator, mapping any sufficiently regular past scattering state, with a small distribution function, to the future one corresponding…
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…