Large time behavior of the Vlasov-Poisson-Boltzmann system

DOI10.1155/2013/632903zbMath1432.35200OpenAlexW1963676995WikidataQ58916464 ScholiaQ58916464MaRDI QIDQ2318917

Li Yang, Shuilin Jin, Li Li

Publication date: 16 August 2019

Published in: Abstract and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2013/632903

zbMATH Keywords

large time stabilityglobal Maxwellian statemotion of dilute charged particles

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Statistical mechanics of plasmas (82D10) Kinetic theory of gases in time-dependent statistical mechanics (82C40) Vlasov equations (35Q83) Boltzmann equations (35Q20)

Cites Work

• Cauchy problem for the Vlasov-Poisson-Boltzmann system
• The Vlasov-Maxwell-Boltzmann system in the whole space
• Global existence of classical solutions to the Vlasov-Poisson-Boltzmann system
• The Boltzmann equation with a soft potential. I: Linear, spatially- homogeneous
• On the trend to global equilibrium for spatially inhomogeneous kinetic systems: the Boltzmann equation
• Cercignani's conjecture is sometimes true and always almost true
• Exponential decay for soft potentials near Maxwellian
• On the trend to equilibrium for the Vlasov-Poisson-Boltzmann equation
• On the existence of global solutions of mixed problem for non-linear Boltzmann equation
• The Vlasov‐Poisson‐Boltzmann system near Maxwellians

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