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 …

A review of the mean field limits for Vlasov equations AIMS share this content in Facebook
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In this paper we will study the following system of partial differential equations, which is
called the Vlasov-Poisson system; rct, JG U)+ Ugf (t, X, V)+ E (t, x)~ f (t, x, u)= O,(1.1) …

We prove that, if the initial data has moments in v higher than three, then the solution of
Vlasov-Poisson has also moments in v higher than three. We deduce from this different …

Global existence of smooth solutions to the vlasov poisson system in three dimensions Page 1
COMMUN. IN PARTIAL DIFFERENTIAL EQUATIONS, 16(8&9), 1313-1335 (1991) GLOBAL …

We study here the Vlasov‐Maxwell system in its classical and relativistic form. We prove the
stability of solutions in weak topologies and deduce from this stability result the global …

The present work establishes a Navier–Stokes limit for the Boltzmann equation considered
over the infinite spatial domain R 3. Appropriately scaled families of DiPerna-Lions …

The global existence problem is studied for regular solutions of the relativistic Vlasov-
Maxwell equations. If it is assumed that the plasma density vanishes a priori for velocities …

We consider large systems of particles interacting through rough but bounded interaction
kernels. We are able to control the relative entropy between the N-particle distribution and …

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 …