We consider a nonlinear Fokker–Planck equation for a one-dimensional granular medium.
This is a kinetic approximation of a system of nearly elastic particles in a thermal bath. We …

We establish the existence of a weak solutions for a coupled system of kinetic and fluid
equations. More precisely, we consider a Vlasov–Fokker–Planck equation coupled to …

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 …

Hydrodynamic limits study the relation between the fluid and kinetic descriptions of a
transport phenomenon. In different area of physics and engineering, kinetic models have …

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 …

We consider homogeneous solutions of the Vlasov–Fokker–Planck equation in plasma
theory proving that they reach the equilibrium with a time exponential rate in various norms …

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 analysis of dissipative transport equations within the framework of open quantum
systems with Fokker-Planck-type scattering is carried out from the perspective of a Wigner …