Diffusion limit of the Vlasov-Poisson-Boltzmann system
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Publication:826012
DOI10.3934/krm.2021003zbMath1479.76121arXiv2007.01461OpenAlexW3114652041MaRDI QIDQ826012
Tong Yang, Ming-ying Zhong, Hai-liang Li
Publication date: 18 December 2021
Published in: Kinetic and Related Models (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2007.01461
global strong solutionconvergence ratespectral analysisVlasov-Poisson-Boltzmann systemdiffusion limitglobal Maxwellian
Ionized gas flow in electromagnetic fields; plasmic flow (76X05) Vlasov equations (35Q83) Boltzmann equations (35Q20)
Related Items (5)
Diffusion limit and the optimal convergence rate of the Vlasov-Poisson-Fokker-Planck system ⋮ Incompressible Euler–Poisson limit of the Vlasov–Poisson–Boltzmann system ⋮ Global Euler–Poisson Limit to the Vlasov–Poisson–Boltzmann System with Soft Potential ⋮ Convergence from two-species Vlasov-Poisson-Boltzmann system to two-fluid incompressible Navier-Stokes-Fourier-Poisson system ⋮ Global Strong Solution and Incompressible Navier--Stokes--Fourier--Poisson Limit of the Vlasov--Poisson--Boltzmann System
Cites Work
- The Vlasov-Poisson-Boltzmann system in the whole space: The hard potential case
- Optimal convergence rates of classical solutions for Vlasov-Poisson-Boltzmann system
- Optimal time decay of the Vlasov-Poisson-Boltzmann system in \({\mathbb R^3}\)
- Cauchy problem for the Vlasov-Poisson-Boltzmann system
- Global existence of classical solutions to the Vlasov-Poisson-Boltzmann system
- Semigroups of linear operators and applications to partial differential equations
- Fluid dynamical limit of the nonlinear Boltzmann equation to the level of the compressible Euler equation
- Compactness in Boltzmann's equation via Fourier integral operators and applications. I, II
- The Vlasov-Maxwell-Boltzmann system near Maxwellians
- The Navier-Stokes limit of the Boltzmann equation for bounded collision kernels
- Compactness in Boltzmann's equation via Fourier integral operators and applications. III
- Decay of the two-species Vlasov-Poisson-Boltzmann system
- Spectrum analysis for the Vlasov-Poisson-Boltzmann system
- Global strong solutions of the Vlasov-Poisson-Boltzmann system in bounded domains
- THE VLASOV–POISSON–BOLTZMANN SYSTEM FOR SOFT POTENTIALS
- Incompressible navier-stokes and euler limits of the boltzmann equation
- Stability of the One-Species Vlasov–Poisson–Boltzmann System
- The Diffusive Limit of the Vlasov–Boltzmann System for Binary Fluids
- Spectrum analysis and optimal decay rates of the bipolar Vlasov-Poisson-Boltzmann equations
- THE CLASSICAL INCOMPRESSIBLE NAVIER-STOKES LIMIT OF THE BOLTZMANN EQUATION
- On the existence of global solutions of mixed problem for non-linear Boltzmann equation
- Fluid dynamic limits of kinetic equations II convergence proofs for the boltzmann equation
- The Vlasov‐Poisson‐Boltzmann system near Maxwellians
- Boltzmann diffusive limit beyond the Navier‐Stokes approximation
- THE BOLTZMANN EQUATION IN THE SPACE $L^2\cap L^\infty_\beta$: GLOBAL AND TIME-PERIODIC SOLUTIONS
- On Some Solutions to the Klein-Gordon Equation Related to an Integral of Sonine
- On the initial boundary value problem for the Vlasov-Poisson-Boltzmann system
- The Vlasov-Poisson-Boltzmann system near vacuum
- Global Hilbert expansion for the Vlasov-Poisson-Boltzmann system
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