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

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

2011-12-23

arxiv.org/abs/1112.5504v1

Mathematics

Analysis of PDEs

Scientific paper

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.

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