Short and long time behavior of the Fokker–Planck equation in a confining potential and
applications Page 1 Journal of Functional Analysis 244 (2007) 95–118 www.elsevier.com/locate/jfa …

We prove time decay estimates for several kinetic equations like the free lkansport,
Boltzmann and Vlasov—Poisson Equations. We also consider solutions with infinite energy …

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

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 …

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 …

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 …

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 …

This paper is devoted to the linearized Vlasov–Poisson–Fokker–Planck system in presence
of an external potential of confinement. We investigate the large time behaviour of the …

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 …