On the Vlasov-Poisson-Fokker-Planck equation near Maxwellian

Abstract

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 the periodic box via the uniform-in-time energy estimates and also the macroscopic equations.

References in corpus (1)

• Rate of convergence to equilibrium for the spatially homogeneous Boltzmann equation with hard potentials