Stability of the equilibrium to the Vlasov-Poisson-Boltzmann system with non-constant background charge

DOI10.1007/s10440-018-0176-zzbMath1403.76174OpenAlexW2796805809WikidataQ129984251 ScholiaQ129984251MaRDI QIDQ1630568

Xiuhui Yang, Xiu-Juan Li

Publication date: 10 December 2018

Published in: Acta Applicandae Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10440-018-0176-z

zbMATH Keywords

stabilityVlasov-Poisson-Boltzmann systemnon-constant background charge

Mathematics Subject Classification ID

Stability in context of PDEs (35B35) Rarefied gas flows, Boltzmann equation in fluid mechanics (76P05) Kinetic theory of gases in time-dependent statistical mechanics (82C40)

Cites Work

• The Vlasov-Poisson-Boltzmann system without angular cutoff
• The Vlasov-Poisson-Boltzmann system in the whole space: The hard potential case
• The Vlasov-Poisson-Boltzmann system for non-cutoff hard potentials
• Optimal convergence rates of classical solutions for Vlasov-Poisson-Boltzmann system
• Decay and continuity of the Boltzmann equation in bounded domains
• Optimal time decay of the Vlasov-Poisson-Boltzmann system in \({\mathbb R^3}\)
• Cauchy problem for the Vlasov-Poisson-Boltzmann system
• Existence of stationary solutions to the Vlasov-Poisson-Boltzmann system
• Phase transition in a Vlasov-Boltzmann binary mixture
• Global existence of classical solutions to the Vlasov-Poisson-Boltzmann system
• Stability of nonlinear wave patterns to the bipolar Vlasov-Poisson-Boltzmann system
• Steady states of the Vlasov-Poisson-Fokker-Planck system
• Decay of the two-species Vlasov-Poisson-Boltzmann system
• The Vlasov-Poisson-Boltzmann system with angular cutoff for soft potentials
• THE VLASOV–POISSON–BOLTZMANN SYSTEM FOR SOFT POTENTIALS
• Stability of the Rarefaction Wave of the Vlasov--Poisson--Boltzmann System
• Stability of the One-Species Vlasov–Poisson–Boltzmann System
• Spectrum analysis and optimal decay rates of the bipolar Vlasov-Poisson-Boltzmann equations
• The Vlasov‐Poisson‐Boltzmann system near Maxwellians
• Bounded solutions for the Boltzmann equation

This page was built for publication: Stability of the equilibrium to the Vlasov-Poisson-Boltzmann system with non-constant background charge