We propose a numerical method for the Vlasov-Poisson-Fokker-Planck model written as an
hyperbolic system thanks to a spectral decomposition in the basis of Hermite functions with …

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 …

The voltage-conductance equation determines the probability distribution of a stochastic
process describing a fluctuation-driven neuronal network arising in the visual cortex. Its …

We are concerned with the short-and large-time behavior of the $ L^ 2$-propagator norm of
Fokker-Planck equations with linear drift, ie $\partial_t f=\mathrm {div} _ {x}{(D\nabla_x f+ …

This work tackles the diffusive limit for the Vlasov–Poisson–Fokker–Planck model. We derive
a priori estimates which hold without restriction on the phase-space dimension and propose …

We study the well-posedness, steady states and long time behavior of solutions to Vlasov-
Fokker-Planck equation with external confinement potential and nonlinear self-consistent …

The work is devoted to some mathematical problems of dynamics of collisional plasma. The
difficulty is that in plasma case we have at least three different length scales: Debye radius …

We consider various sets of Vlasov-Fokker-Planck equations modeling the dynamics of
charged particles in a plasma under the effect of a strong magnetic field. For each of them in …

We study linear inhomogeneous kinetic equations with an external confining potential and a
collision operator admitting several local conservation laws (local density, momentum and …

Uniform asymptotic stability for convection–reaction–diffusion equations in the inviscid limit
towards Riemann shocks Page 1 Ann. Inst. H. Poincaré Anal. Non Linéaire 41 (2024), 615–661 …