The Vlasov-Poisson-Boltzmann system for the whole range of cutoff soft potentials

DOI10.1016/j.jfa.2016.09.017zbMath1457.76205OpenAlexW2761071446MaRDI QIDQ333118

Huijiang Zhao, Linjie Xiong, Qing-Hua Xiao

Publication date: 9 November 2016

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jfa.2016.09.017

zbMATH Keywords

existenceuniquenessglobal solutionMaxwellianone-species systemtime-velocity weighted energy method

Mathematics Subject Classification ID

Rarefied gas flows, Boltzmann equation in fluid mechanics (76P05) Ionized gas flow in electromagnetic fields; plasmic flow (76X05) Vlasov equations (35Q83) Boltzmann equations (35Q20)

Related Items (17)

Incompressible Euler–Poisson limit of the Vlasov–Poisson–Boltzmann system ⋮ From the Vlasov-Poisson-Boltzmann System to the Vlasov-Poisson-Landau System with Coulomb Potential ⋮ Convergence from the two-species Vlasov-Poisson-Boltzmann system to the two-fluid incompressible Navier-Stokes-Fourier-Poisson system with Ohm's law ⋮ Hypocoercivity for perturbation theory and perturbation of hypocoercivity for confined Boltzmann-type collisional equations ⋮ The relativistic Vlasov–Maxwell–Fokker–Planck system in the whole space ⋮ The Vlasov-Maxwell-Boltzmann system near Maxwellians with strong background magnetic field ⋮ The Boltzmann equation with an external force on the torus: incompressible Navier-Stokes-Fourier hydrodynamical limit ⋮ The non-cutoff Vlasov-Maxwell-Boltzmann system with weak angular singularity ⋮ Stability of the Superposition of a Viscous Contact Wave with Two Rarefaction Waves to the Bipolar Vlasov--Poisson--Boltzmann System ⋮ Global solutions to the Vlasov-Poisson-Boltzmann system with weak angular singularity ⋮ Global strong solutions to the Vlasov-Poisson-Boltzmann system with soft potential in a bounded domain ⋮ The relativistic Vlasov-Maxwell-Boltzmann system for short range interaction ⋮ The Vlasov-Maxwell-Boltzmann system near Maxwellians in the whole space with very soft potentials ⋮ Optimal convergence rates of the magnetohydrodynamic model for quantum plasmas with potential force ⋮ 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 ⋮ Large-time behavior of the two-species relativistic Landau-Maxwell system in \(\mathbb{R}_x^3\)

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