On the derivation of the one dimensional Vlasov equation

DOI10.1080/00411458608212706zbMath0617.35120OpenAlexW1995464200MaRDI QIDQ4726751

M. G. Trocheris

Publication date: 1986

Published in: Transport Theory and Statistical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00411458608212706

zbMATH Keywords

distribution functionCoulomb potentialVlasov equationpoint particles

Mathematics Subject Classification ID

Transport processes in time-dependent statistical mechanics (82C70) Partial differential equations of mathematical physics and other areas of application (35Q99)

Related Items (9)

Instabilities in the mean field limit ⋮ A rigorous derivation of the Hamiltonian structure for the Vlasov equation ⋮ Contribution of individual degrees of freedom to Lyapunov vectors in many-body systems ⋮ Long-time estimates in the mean-field limit ⋮ Propagation of chaos for the Vlasov-Poisson-Fokker-Planck system in 1D ⋮ A review of the mean field limits for Vlasov equations ⋮ Mean-field limit for particle systems with topological interactions ⋮ Particle simulations of the semiconductor Boltzmann equation for one- dimensional inhomogeneous structures ⋮ Mean field limit for the one dimensional Vlasov-Poisson~equation

Cites Work

• The Vlasov dynamics and its fluctuations in the \(1/N\) limit of interacting classical particles
• Boundary value problems for the Vlasov-Maxwell equation in one dimension
• Die Theorie der asymptotischen Verteilung und die numerische Lösung von Integrodifferentialgleichungen
• Particle Methods for the One-Dimensional Vlasov–Poisson Equations

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