4 papers
A vector field method for massless relativistic transport equations and applications
Léo Bigorgne
In this article, we present a vector field method for the study of solutions to massless relativistic transport equations. Compared to the methodologie developped by Fajman-Joudiou…
Asymptotic properties of the solutions to the Vlasov-Maxwell system in the exterior of a light cone
Léo Bigorgne
This paper is concerned with the asymptotic behavior of small data solutions to the three-dimensional Vlasov-Maxwell system in the exterior of a light cone. The plasma does not hav…
Sharp asymptotic behavior of solutions of the Vlasov-Maxwell system with small data
Léo Bigorgne
We study the asymptotic properties of the small data solutions of the Vlasov-Maxwell system in dimension three. No neutral hypothesis nor compact support assumptions are made on th…
Sharp asymptotics for the solutions of the three-dimensional massless Vlasov-Maxwell system with small data
Léo Bigorgne
This paper is concerned with the asymptotic properties of the small data solutions to the massless Vlasov-Maxwell system in . We use vector field methods to derive almost optim…