Diffusion limit of the Vlasov-Poisson-Boltzmann system
type: Item
instance of: scholarly article
title: Diffusion limit of the Vlasov-Poisson-Boltzmann system
zbMATH Open document ID: 1479.76121
author: Tong Yang
author: Hai-Liang Li
author: Ming-ying Zhong
published in: Kinetic and Related Models
publication date: 2021-12-18T00:00:00Z
full work available at URL: https://arxiv.org/abs/2007.01461
Mathematics Subject Classification ID: 76X05
Mathematics Subject Classification ID: 35Q83
Mathematics Subject Classification ID: 35Q20
zbMATH DE Number: 7449586
zbMATH Keywords: global Maxwellian
zbMATH Keywords: Vlasov-Poisson-Boltzmann system
zbMATH Keywords: spectral analysis
zbMATH Keywords: diffusion limit
zbMATH Keywords: global strong solution
zbMATH Keywords: convergence rate
MaRDI profile type: Publication
OpenAlex ID: W3114652041
arXiv ID: 2007.01461
cites work: Fluid dynamic limits of kinetic equations II convergence proofs for the boltzmann equation
cites work: THE CLASSICAL INCOMPRESSIBLE NAVIER-STOKES LIMIT OF THE BOLTZMANN EQUATION
cites work: Global strong solutions of the Vlasov-Poisson-Boltzmann system in bounded domains
cites work: Optimal time decay of the Vlasov-Poisson-Boltzmann system in \({\mathbb R^3}\)
cites work: Stability of the One-Species Vlasov–Poisson–Boltzmann System
cites work: The Vlasov-Poisson-Boltzmann system in the whole space: The hard potential case
cites work: The Vlasov-Poisson-Boltzmann system for soft potentials
cites work: The Vlasov-Maxwell-Boltzmann system near Maxwellians
cites work: The Vlasov‐Poisson‐Boltzmann system near Maxwellians
cites work: The Vlasov-Poisson-Boltzmann system near vacuum
cites work: Global Hilbert expansion for the Vlasov-Poisson-Boltzmann system
cites work: Boltzmann diffusive limit beyond the Navier‐Stokes approximation
cites work: The Navier-Stokes limit of the Boltzmann equation for bounded collision kernels
cites work: Q5526485
cites work: Spectrum analysis for the Vlasov-Poisson-Boltzmann system
cites work: Spectrum analysis and optimal decay rates of the bipolar Vlasov-Poisson-Boltzmann equations
cites work: Compactness in Boltzmann's equation via Fourier integral operators and applications. I, II
cites work: Compactness in Boltzmann's equation via Fourier integral operators and applications. III
cites work: Q4023822
cites work: Incompressible navier-stokes and euler limits of the boltzmann equation
cites work: On the initial boundary value problem for the Vlasov-Poisson-Boltzmann system
cites work: On Some Solutions to the Klein-Gordon Equation Related to an Integral of Sonine
cites work: Fluid dynamical limit of the nonlinear Boltzmann equation to the level of the compressible Euler equation
cites work: Semigroups of linear operators and applications to partial differential equations
cites work: On the existence of global solutions of mixed problem for non-linear Boltzmann equation
cites work: THE BOLTZMANN EQUATION IN THE SPACE $L^2\cap L^\infty_\beta$: GLOBAL AND TIME-PERIODIC SOLUTIONS
cites work: The Diffusive Limit of the Vlasov–Boltzmann System for Binary Fluids
cites work: Decay of the two-species Vlasov-Poisson-Boltzmann system
cites work: Cauchy problem for the Vlasov-Poisson-Boltzmann system
cites work: Global existence of classical solutions to the Vlasov-Poisson-Boltzmann system
cites work: Optimal convergence rates of classical solutions for Vlasov-Poisson-Boltzmann system
DOI: 10.3934/KRM.2021003
description: scientific article