Incompressible Euler–Poisson limit of the Vlasov–Poisson–Boltzmann system

DOI10.1063/5.0054024OpenAlexW4292940417MaRDI QIDQ5884803

Fujun Zhou, Yongsheng Li, Wei-Jun Wu

Publication date: 24 March 2023

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/5.0054024

Mathematics Subject Classification ID

Partial differential equations (35-XX) Quantum theory (81-XX)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• The Vlasov-Poisson-Boltzmann system for the whole range of cutoff soft potentials
• The Vlasov-Poisson-Boltzmann system in the whole space: The hard potential case
• Decay and continuity of the Boltzmann equation in bounded domains
• Diffusion limit of the Vlasov-Poisson-Boltzmann system
• Cauchy problem for the Vlasov-Poisson-Boltzmann system
• Local Hilbert expansion for the Boltzmann equation
• Remarks on the breakdown of smooth solutions for the 3-D Euler equations
• On the Euler equations of incompressible perfect fluids
• The mathematical theory of dilute gases
• The Vlasov-Maxwell-Boltzmann system near Maxwellians
• The Navier-Stokes limit of the Boltzmann equation for bounded collision kernels
• Stationary solutions to the Boltzmann equation in the hydrodynamic limit
• From the Vlasov-Maxwell-Boltzmann system to incompressible viscous electro-magneto-hydrodynamics. Volume 1
• Global Hilbert expansion for the relativistic Vlasov-Maxwell-Boltzmann system
• Incompressible Euler limit of the Boltzmann equation in the whole space and a periodic box
• Global strong solutions of the Vlasov-Poisson-Boltzmann system in bounded domains
• Nonstationary flows of viscous and ideal fluids in \(R^3\)
• 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 fluid dynamic limit of the nonlinear boltzmann equation
• Fluid dynamic limits of kinetic equations II convergence proofs for the boltzmann equation
• The Vlasov‐Poisson‐Boltzmann system near Maxwellians
• Global Strong Solution and Incompressible Navier--Stokes--Fourier--Poisson Limit of the Vlasov--Poisson--Boltzmann System
• Boltzmann diffusive limit beyond the Navier‐Stokes approximation
• On the initial boundary value problem for the Vlasov-Poisson-Boltzmann system
• The Vlasov-Poisson-Boltzmann system near vacuum
• From the Boltzmann equations to the equations of incompressible fluid mechanics. I, II
• Global Hilbert expansion for the Vlasov-Poisson-Boltzmann system

This page was built for publication: Incompressible Euler–Poisson limit of the Vlasov–Poisson–Boltzmann system