This paper is concerned with the analysis of the stability of the Vlasov-Poisson-Fokker-
Planck system with respect to the physical constants. If the scaled thermal mean free path …

A.–We prove global stability results of DiPerna-Lions renormalized solutions for
the initial boundary value problem associated to some kinetic equations, from which …

In this paper the stability of the Vlasov–Poisson–Fokker–Planck with respect to the variation
of its constant parameters, the scaled thermal velocity and the scaled thermal mean free …

The issue of the relaxation to equilibrium has been at the core of the kinetic theory of rarefied
gas dynamics. In the paper, we introduce the Deep Neural Network (DNN) approximated …

This work is devoted to prove the existence of weak solutions of the kinetic Vlasov–Poisson–
Fokker–Planck system in bounded domains for attractive or repulsive forces. Absorbing and …

The asymptotic behavior for the Vlasov--Poisson--Fokker--Planck system in bounded
domains is analyzed in this paper. Boundary conditions defined by a scattering kernel are …

The aim of this work is to study the asymptotic behaviour of global in time solutions of the
Vlasov–Poisson–Fokker–Planck system in three dimensions. We consider both cases, with …

We consider a N-particle system interacting through the Newtonian potential with a
polynomial cut-off in the presence of noise in velocity. We rigorously prove the propagation …

We establish the exponential time decay rate of smooth solutions of small amplitude to the
Vlasov-Poisson-Fokker-Planck equations to the Maxwellian both in the whole space and in …

We rigorously justify the mean-field limit of an N-particle system subject to Brownian motions
and interacting through the Newtonian potential in R^ 3 R 3. Our result leads to a derivation …