Spectrum Analysis for the Vlasov–Poisson–Boltzmann System

Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review

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Detail(s)

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

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DOI

DOI
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Link to Scopus https://www.scopus.com/record/display.uri?eid=2-s2.0-85105978109&origin=recordpage
Permanent Link https://scholars.cityu.edu.hk/en/publications/publication(d51864e3-9a0c-4c3b-bb7d-590a8d1e8036).html

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.

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Publication fingerprints text

100
Poisson Equation Mathematics
100
spectra INIS
100
Spectral Analysis Keyphrases
66
poisson equation INIS
50
Optimal Time Mathematics
50
Equilibrium Model Mathematics
50
Boltzmann Equation Mathematics
50
Electric Field Mathematics
50
Global Maxwellian Keyphrases
50
Optimal Decay Rates Keyphrases
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Citation Format(s)

[ RIS ] [ BibTeX ]
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 - Publication in refereed journal › peer-review