Microscopic derivations of Vlasov equations

DOI10.1016/j.cnsns.2007.05.013zbMath1129.35463OpenAlexW2013756569MaRDI QIDQ2383073

Michael Karl-Heinz Kiessling

Publication date: 5 October 2007

Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cnsns.2007.05.013

zbMATH Keywords

reportstellar dynamicsvortex flowsmicroscopic modelsplasma dynamicsrelativistic Vlasov-Maxwell equations

Mathematics Subject Classification ID

Related Items (6)

Time-asymptotic evolution of spatially uniform Gaussian Vlasov fluctuation fields ⋮ The mean-field limit for a regularized Vlasov-Maxwell dynamics ⋮ Combined mean field limit and non-relativistic limit of Vlasov–Maxwell particle system to Vlasov–Poisson system ⋮ The microscopic foundations of Vlasov theory for jellium-like Newtonian \(N\)-body systems ⋮ Dynamical large deviations for homogeneous systems with long range interactions and the Balescu-Guernsey-Lenard equation ⋮ On the fluctuations about the Vlasov limit for \(N\)-particle systems with mean-field interactions

Cites Work

• Generic global solutions of the relativistic Vlasov-Maxwell system of plasma physics
• \(N\)-particles approximation of the Vlasov equations with singular potential
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• Absence of shocks in an initially dilute collisionless plasma
• Global existence for the relativistic Vlasov-Maxwell system with nearly neutral initial data
• Global classical solutions of the Vlasov-Poisson system in three dimensions for general initial data
• Mathematical theory of incompressible nonviscous fluids
• The Newtonian limit for asymptotically flat solutions of the Vlasov- Einstein system
• A regularity theorem for solutions of the spherically symmetric Vlasov- Einstein system
• Erratum: Global existence of solutions of the spherically symmetric Vlasov-Einstein system with small initial data
• Electromagnetic field theory without divergence problems. I: The Born legacy
• High velocity particles in a collisionless plasma
• Global existence of smooth solutions to the vlasov poisson system in three dimensions
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