Diffusive Limit of the Vlasov-Poisson-Boltzmann System without Angular Cutoff
arxiv(2023)
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 0More
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