Minkowski space is shown to be globally stable as a solution to the massive Einstein–Vlasov
system. The proof is based on a harmonic gauge in which the equations reduce to a system …

We prove the global stability of the Minkowski space viewed as the trivial solution of the
Einstein–Vlasov system. To estimate the Vlasov field, we use the vector field and modified …

We prove the global asymptotic stability of the Minkowski space for the massless Einstein–
Vlasov system in wave coordinates. In contrast with previous work on the subject, no …

Minkowski space is shown to be globally stable as a solution to the Einstein–Vlasov system
in the case when all particles have zero mass. The proof proceeds by showing that the …

The aim of this article is to demonstrate how the vector field method of Klainerman can be
adapted to the study of transport equations. After an illustration of the method for the free …

Consider the Vlasov–Poisson–Landau system with Coulomb potential in the weakly
collisional regime on a $3 $-torus, ie\begin {align*}\partial _t F (t, x, v)+ v_i\partial _ {x_i} F (t …

We provide a systematic study for the accretion of a collisionless, relativistic kinetic gas into
a nonrotating black hole. To this end, we first solve the relativistic Liouville equation on a …

In recent years, significant progress has been made in understanding the global evolution of
self-gravitating massive matter in the small-perturbative regime near Minkowski spacetime …

This article is devoted to the study of the dynamical behavior of a collisionless kinetic gas in
d= 1, 2, 3 space dimensions which is trapped in a rotationally symmetric potential well …

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 …