Spectrum analysis for the Vlasov-Poisson-Boltzmann system
Analysis of PDEs
2014-02-18 v1
Abstract
By identifying a norm capturing the effect of the forcing governed by the Poisson equation, we give a detailed spectrum analysis on the linearized Vlasov-Poisson-Boltzmann system around a global Maxwellian. It is shown that the electric field governed by the self-consistent Poisson equation plays a key role in the analysis so that the spectrum structure is genuinely different from the well-known one of the Boltzmann equation. Based on this, we give the optimal time decay rates of solutions to the equilibrium.
Cite
@article{arxiv.1402.3633,
title = {Spectrum analysis for the Vlasov-Poisson-Boltzmann system},
author = {Hailiang Li and Tong Yang and Mingying Zhong},
journal= {arXiv preprint arXiv:1402.3633},
year = {2014}
}