Global classical solution of the Vlasov–Maxwell–Landau system near Maxwellians

DOI10.1063/1.1803611zbMath1064.82035OpenAlexW2034281543MaRDI QIDQ3024122

Hongjun Yu

Publication date: 30 June 2005

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

Full work available at URL: https://doi.org/10.1063/1.1803611

Mathematics Subject Classification ID

PDEs in connection with optics and electromagnetic theory (35Q60) Statistical mechanics of plasmas (82D10) Ionized gas flow in electromagnetic fields; plasmic flow (76X05)

Related Items (9)

Hypocoercivity of the relativistic Boltzmann and Landau equations in the whole space ⋮ Global classical solutions to the initial value problem for the relativistic Landau equation ⋮ Global solutions to the relativistic Landau-Maxwell system in the whole space ⋮ Global smooth dynamics of a fully ionized plasma with long-range collisions ⋮ THE GLOBAL CLASSICAL SOLUTION OF THE VLASOV–MAXWELL–FOKKER–PLANCK SYSTEM NEAR MAXWELLIAN ⋮ High-electric-field limit for the Vlasov-Maxwell-Fokker-Planck system ⋮ On the Cauchy problem of the Boltzmann and Landau equations with soft potentials ⋮ Smoothing effects for classical solutions of the relativistic Landau-Maxwell system ⋮ Large-time behavior of the two-species relativistic Landau-Maxwell system in \(\mathbb{R}_x^3\)

Cites Work

• Dispersion relations for the linearized Fokker-Planck equation
• The Vlasov-Maxwell-Boltzmann system near Maxwellians
• Classical solutions to the Boltzmann equation for molecules with an angular cutoff
• The Landau equation in a periodic box
• THE VLASOV–POISSON SYSTEM WITH STRONG MAGNETIC FIELD IN QUASINEUTRAL REGIME
• Local existence of solutions to the Landau–Maxwell system
• Local existence of classical solutions to the Landau equations
• On long time asymptotics of the vlasov—poisson—boltzmann equation
• The Vlasov‐Poisson‐Boltzmann system near Maxwellians
• On the spatially homogeneous landau equation for hard potentials part i : existence, uniqueness and smoothness
• On the spatially homogeneous landau equation for hard potentials part ii : h-theorem and applications

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