Diffusive Limit of the Vlasov-Poisson-Boltzmann System without Angular Cutoff

2023/12/27 by Yuan Xu, Xu, Yuan, Fujun Zhou +3
Engineering · Mathematics · #35Q20 #35Q83 #Analysis of PDEs (math.AP) #FOS: Mathematics #Fluid Dynamics and Turbulent Flows #Gas Dynamics and Kinetic Theory #Navier-Stokes equation solutions

paper · pdf · doi:10.48550/arxiv.2312.16588

openalex publication_date 2023/12/27 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Diffusive limit of the Vlasov-Poisson-Boltzmann system without angular cutoff in the framework of perturbation around global Maxwellian still remains open. By employing the weighted energy method with a newly introduced weight function w_l(α,β) and some novel treatments, we solve this problem for the full range of non-cutoff potentials γ>-3 and 0-3 and 0

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