Spectrum Analysis for the Vlasov–Poisson–Boltzmann System

Research output: Journal Publications and Reviews (RGC: 21, 22, 62)21_Publication in refereed journalpeer-review

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Original languageEnglish
Pages (from-to)311–355
Journal / PublicationArchive for Rational Mechanics and Analysis
Volume241
Issue number1
Online published19 May 2021
Publication statusPublished - Jul 2021

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.

Citation Format(s)

Spectrum Analysis for the Vlasov–Poisson–Boltzmann System. / LI, Hai-Liang; YANG, Tong; ZHONG, Mingying.

In: Archive for Rational Mechanics and Analysis, Vol. 241, No. 1, 07.2021, p. 311–355.

Research output: Journal Publications and Reviews (RGC: 21, 22, 62)21_Publication in refereed journalpeer-review