DIFFUSION LIMIT OF THE VLASOV-POISSON-BOLTZMANN SYSTEM

Hai-Liang LI; Tong YANG; Mingying ZHONG

doi:10.3934/krm.2021003

DIFFUSION LIMIT OF THE VLASOV-POISSON-BOLTZMANN SYSTEM

Hai-Liang LI, Tong YANG, Mingying ZHONG^*

^*Corresponding author for this work

Department of Mathematics

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

9 Citations (Scopus)

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.

Original language	English
Pages (from-to)	211-255
Journal	Kinetic and Related Models
Volume	14
Issue number	2
DOIs	https://doi.org/10.3934/krm.2021003
Publication status	Published - Apr 2021

Research Keywords

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

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title = "DIFFUSION LIMIT OF THE VLASOV-POISSON-BOLTZMANN SYSTEM",

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

author = "Hai-Liang LI and Tong YANG and Mingying ZHONG",

year = "2021",

month = apr,

doi = "10.3934/krm.2021003",

language = "English",

volume = "14",

pages = "211--255",

journal = "Kinetic and Related Models",

issn = "1937-5093",

publisher = "American Institute of Mathematical Sciences (A I M S Press)",

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T1 - DIFFUSION LIMIT OF THE VLASOV-POISSON-BOLTZMANN SYSTEM

AU - LI, Hai-Liang

AU - YANG, Tong

AU - ZHONG, Mingying

PY - 2021/4

Y1 - 2021/4

N2 - 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.

AB - 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.

KW - Vlasov-Poisson-Boltzmann system

KW - spectral analysis

KW - diffusion limit

KW - convergence rate

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U2 - 10.3934/krm.2021003

DO - 10.3934/krm.2021003

M3 - RGC 21 - Publication in refereed journal

SN - 1937-5093

VL - 14

SP - 211

EP - 255

JO - Kinetic and Related Models

JF - Kinetic and Related Models

IS - 2

ER -

DIFFUSION LIMIT OF THE VLASOV-POISSON-BOLTZMANN SYSTEM

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GRF: Instability and Critical Regularity Indice for Degenerate PDEs of Prandtl-type Systems

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DIFFUSION LIMIT OF THE VLASOV-POISSON-BOLTZMANN SYSTEM

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Research Keywords

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GRF: Instability and Critical Regularity Indice for Degenerate PDEs of Prandtl-type Systems

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