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arXiv · 2312.16588

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

Yuan Xu·Fujun Zhou·Yongsheng Li
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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 $w_l(\alpha,\beta)$ and some novel treatments, we solve this problem for the full range of non-cutoff potentials $\gamma>-3$ and $0 -3$ and $0<s<1$.

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Yuan Xu, Fujun Zhou, Yongsheng Li. 2023-12-27. Diffusive Limit of the Vlasov-Poisson-Boltzmann System without Angular Cutoff. https://arxiv.org/abs/2312.16588

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