The Vlasov Poisson System with Steady Spatial Asymptotics

DOI10.1081/PDE-120021186zbMath1103.82314MaRDI QIDQ4707066

Jack W. Schaeffer

Publication date: 9 June 2003

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

Mathematics Subject Classification ID

First-order nonlinear hyperbolic equations (35L60) Dynamic continuum models (systems of particles, etc.) in time-dependent statistical mechanics (82C21) Statistical mechanics of plasmas (82D10) Initial value problems for nonlinear first-order PDEs (35F25) Ionized gas flow in electromagnetic fields; plasmic flow (76X05)

Related Items (20)

Time evolution of an infinitely extended Vlasov system with singular mutual interaction ⋮ Global existence to the Vlasov-Poisson system and propagation of moments without assumption of finite kinetic energy ⋮ Linear stability of the Vlasov-Poisson system with boundary conditions ⋮ Global Existence for the Vlasov-Poisson System with Steady Spatial Asymptotics ⋮ 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 ⋮ Global Existence and Increased Spatial Decay for the Radial Vlasov‐Poisson System with Steady Spatial Asymptotics ⋮ 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 ⋮ Classical solutions for the Vlasov–Poisson system with damping term ⋮ On classical solutions of the two-species Vlasov–Poisson system in R3 with infinite charge ⋮ A Vlasov-Poisson plasma with unbounded mass and velocities confined in a cylinder by a magnetic mirror ⋮ The two dimensional Vlasov-Poisson system with steady spatial asymptotics ⋮ The Vlasov-Poisson system with infinite kinetic energy and initial data in \(L^p(\mathbb R^6)\) ⋮ Time evolution of a Vlasov-Poisson plasma with different species and infinite mass in \(\mathbb{R}^3\) ⋮ The screened Poisson-Vlasov system with infinite charge and vanishing screening ⋮ The nonrelativistic limit of relativistic Vlasov–Maxwell system ⋮ Time Evolution of a Vlasov-Poisson Plasma with Infinite Charge in ℝ³

Cites Work

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