A Vlasov-Poisson plasma with unbounded mass and velocities confined in a cylinder by a magnetic mirror

DOI10.3934/krm.2016011zbMath1364.82061arXiv1602.04164OpenAlexW3100050613MaRDI QIDQ510042

Guido Cavallaro, Carlo Marchioro, Silvia Caprino

Publication date: 16 February 2017

Published in: Kinetic and Related Models (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1602.04164

zbMATH Keywords

unbounded massVlasov-Poisson equationmagnetic confinementunbounded velocities

Mathematics Subject Classification ID

First-order nonlinear hyperbolic equations (35L60) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Statistical mechanics of plasmas (82D10) Ionized gas flow in electromagnetic fields; plasmic flow (76X05) Vlasov equations (35Q83) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

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Cites Work

• Unnamed Item
• Unnamed Item
• Global existence for the Vlasov-Poisson system with steady spatial asymptotic behavior
• On a Vlasov-Poisson plasma confined in a torus by a magnetic mirror
• 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
• Time evolution of a Vlasov-Poisson plasma with magnetic confinement
• Global magnetic confinement for the 1.5D Vlasov-Maxwell system
• Global existence of smooth solutions to the vlasov poisson system in three dimensions
• 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
• Global Existence for the Vlasov-Poisson System with Steady Spatial Asymptotics
• On a Magnetically Confined Plasma with Infinite Charge
• The Vlasov equation with infinite mass

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