The main purpose of this article is to provide a guide to theorems on global properties of
solutions to the Einstein-Vlasov system. This system couples Einstein's equations to a kinetic …

Our interest in the study and computation of electromagnetic fields started during the 1990s.
For Franck Assous, it originated from the need to compute precisely the motion of charged …

Many important developments and concepts in mathematics originate with the N-body
problem. It describes the motion of N mass points which move according to Newton's …

R. Glassey and W. Strauss have proved in [Arch. Rational Mech. Anal. 92 (1986), 59–90]
that C 1 solutions to the relativistic Vlasov-Maxwell system in three space dimensions do not …

Abstract In their seminal work [3], R. DiPerna and P.-L. Lions established the existence of
global weak solutions to the Vlasov-Maxwell system. In the present notes we give a …

We study here the finite Larmor radius regime for the Vlasov–Poisson equations with strong
external magnetic field. The derivation of the limit model follows by formal expansion in …

We consider the relativistic Vlasov–Maxwell system with data of unrestricted size and
without compact support in momentum space. In the two-dimensional and the two-and-a-half …

The global existence of solutions to the relativistic Vlasov–Maxwell system given sufficiently
regular finite energy initial data is a longstanding open problem. The main result of Glassey …

arxiv:2203.01199v1 [math.AP] 2 Mar 2022 Page 1 arxiv:2203.01199v1 [math.AP] 2 Mar 2022
GLOBAL SOLUTION OF THE 3D RELATIVISTIC VLASOV-MAXWELL SYSTEM FOR LARGE …