Diffusion Limit of the Vlasov-Poisson-Boltzmann System
Analysis of PDEs
2021-06-09 v1
Abstract
In the present paper, we study the diffusion limit of the classical solution to the unipolar Vlasov-Poisson-Boltzmann (VPB) system with initial data near a global Maxwellian. We prove the convergence and establish the convergence rate of the global strong solution to the unipolar VPB system towards the solution to an incompressible Navier-Stokes-Poisson-Fourier system based on the spectral analysis with precise estimation on the initial layer.
Keywords
Cite
@article{arxiv.2007.01461,
title = {Diffusion Limit of the Vlasov-Poisson-Boltzmann System},
author = {Hai-Liang Li and Tong Yang and Mingying Zhong},
journal= {arXiv preprint arXiv:2007.01461},
year = {2021}
}