The Vlasov-Maxwell-Boltzmann system with a uniform ionic background near Maxwellians

DOI10.1016/j.jde.2015.10.021zbMath1382.35303OpenAlexW1892278034MaRDI QIDQ897818

Huijiang Zhao, Yuanjie Lei

Publication date: 7 December 2015

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jde.2015.10.021

zbMATH Keywords

decay of solutionsVlasov-Maxwell-Boltzmann systemnegative Sobolev spacesglobal solutions near Maxwellians

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) A priori estimates in context of PDEs (35B45) Statistical mechanics of plasmas (82D10) Vlasov equations (35Q83) Maxwell equations (35Q61) Boltzmann equations (35Q20)

Related Items (5)

The same class of stationary solutions to some multidimensional kinetic systems with extensive background density ⋮ The Vlasov-Poisson-Boltzmann system for the whole range of cutoff soft potentials ⋮ Hydrodynamic limit of the incompressible Navier-Stokes-Fourier-Maxwell system with Ohm's law from the Vlasov-Maxwell-Boltzmann system: Hilbert expansion approach ⋮ The relativistic Vlasov-Maxwell-Boltzmann system for short range interaction ⋮ Global Hilbert expansion for the relativistic Vlasov-Maxwell-Boltzmann system

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