DIFFUSION LIMIT OF 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)211-255
Journal / PublicationKinetic and Related Models
Volume14
Issue number2
Publication statusPublished - Apr 2021

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DOI

DOI
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Link to Scopus https://www.scopus.com/record/display.uri?eid=2-s2.0-85104049341&origin=recordpage
Permanent Link https://scholars.cityu.edu.hk/en/publications/publication(9c788521-d9e0-41a3-9100-22bc6f2d0f39).html

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.

Research Area(s)

  • Vlasov-Poisson-Boltzmann system, spectral analysis, diffusion limit, convergence rate

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Publication fingerprints text

100
Diffusion Limit Keyphrases
100
Vlasov-Poisson-Bolt... Keyphrases
100
Diffusion Limitatio... Mathematics
100
Boltzmann Equation Mathematics
100
diffusion INIS
100
solutions INIS
66
convergence INIS
33
Convergence Rate Keyphrases
33
Fourier Keyphrases
33
Spectral Analysis Keyphrases
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Citation Format(s)

[ RIS ] [ BibTeX ]
DIFFUSION LIMIT OF THE VLASOV-POISSON-BOLTZMANN SYSTEM. / LI, Hai-Liang; YANG, Tong; ZHONG, Mingying.
In: Kinetic and Related Models, Vol. 14, No. 2, 04.2021, p. 211-255.

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