Time Evolution of a Vlasov-Poisson Plasma with Infinite Charge in ℝ3

DOI10.1080/03605302.2014.944267zbMath1320.82062OpenAlexW2027366449MaRDI QIDQ5246649

Guido Cavallaro, Silvia Caprino, Carlo Marchioro

Publication date: 21 April 2015

Published in: Communications in Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03605302.2014.944267

zbMATH Keywords

one-component plasmaLagrangian methodinfinite plasma approximationVlasov-Poisson equation solutions

Mathematics Subject Classification ID

Magnetohydrodynamics and electrohydrodynamics (76W05) Statistical mechanics of plasmas (82D10) Vlasov equations (35Q83)

Related Items (12)

Time evolution of an infinitely extended Vlasov system with singular mutual interaction ⋮ The Vlasov-Poisson system with low steady spatial asymptotics ⋮ On the 3-D Vlasov-Poisson system with point charges: global solutions with unbounded supports and propagation of velocity-spatial moments ⋮ On the magnetic shield for a Vlasov-Poisson plasma ⋮ The Vlasov–Poisson equation in ℝ3 with infinite charge and velocities ⋮ A Vlasov-Poisson plasma of infinite mass with a point charge ⋮ 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 ⋮ Debye screening for the stationary Vlasov-Poisson equation in interaction with a point charge ⋮ Time evolution of a Vlasov-Poisson plasma with different species and infinite mass in \(\mathbb{R}^3\) ⋮ The nonrelativistic limit of relativistic Vlasov–Maxwell system

Cites Work

• Global existence for the Vlasov-Poisson system with steady spatial asymptotic behavior
• Propagation of moments and regularity for the 3-dimensional Vlasov- Poisson system
• Global classical solutions of the Vlasov-Poisson system in three dimensions for general initial data
• Global-in-time solutions to the three-dimensional Vlasov--Poisson system
• Propagation of space moments in the Vlasov-Poisson equation and further results
• Space Moments of the Vlasov--Poisson System: Propagation and Regularity
• Global existence of smooth solutions to the vlasov poisson system in three dimensions
• Growth Estimates for the Solutions of the Vlasov-Poisson System in the Plasma Physics Case
• ON THE TWO-DIMENSIONAL VLASOV-HELMHOLTZ EQUATION WITH INFINITE MASS
• The Vlasov Poisson System with Steady Spatial Asymptotics
• Steady spatial asymptotics for the Vlasov-Poisson system
• Moment Propagation for Weak Solutions to the Vlasov–Poisson System
• Global Existence for the Vlasov-Poisson System with Steady Spatial Asymptotics
• On a Magnetically Confined Plasma with Infinite Charge
• The Vlasov-Poisson system with infinite mass and energy.
• The Vlasov equation with infinite mass

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