Explicit solutions of the one‐dimensional Vlasov–Poisson system with infinite mass

DOI10.1002/mma.915zbMath1138.35363arXiv1002.4927OpenAlexW1972680282MaRDI QIDQ5448595

Stephen Pankavich

Publication date: 7 March 2008

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1002.4927

zbMATH Keywords

collisionless plasmapartial differential equationskinetic theoryplasma physicsone dimensionVlasov-Poissoninfinite mass

Mathematics Subject Classification ID

PDEs in connection with optics and electromagnetic theory (35Q60) Interacting particle systems in time-dependent statistical mechanics (82C22) First-order nonlinear hyperbolic equations (35L60) Dynamic continuum models (systems of particles, etc.) in time-dependent statistical mechanics (82C21) Statistical mechanics of plasmas (82D10)

Related Items (7)

The Vlasov-Poisson system with low steady spatial asymptotics ⋮ A particle method for a collisionless plasma with infinite mass ⋮ Time evolution of a plasma-charge system with infinite mass and velocities ⋮ On classical solutions of the two-species Vlasov–Poisson system in R3 with infinite charge ⋮ The two dimensional Vlasov-Poisson system with steady spatial asymptotics ⋮ The screened Poisson-Vlasov system with infinite charge and vanishing screening ⋮ The nonrelativistic limit of relativistic Vlasov–Maxwell system

Cites Work

• Global classical solutions of the Vlasov-Poisson system in three dimensions for general initial data
• Unnamed Item
• Unnamed Item

This page was built for publication: Explicit solutions of the one‐dimensional Vlasov–Poisson system with infinite mass