Lagrangian solutions to the Vlasov-Poisson system with a point charge

DOI10.3934/krm.2018050zbMath1405.35215arXiv1705.08077OpenAlexW2964317970WikidataQ129700769 ScholiaQ129700769MaRDI QIDQ1715974

Gianluca Crippa, Silvia Ligabue, Chiara Saffirio

Publication date: 29 January 2019

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

Full work available at URL: https://arxiv.org/abs/1705.08077

zbMATH Keywords

transport equationsplasma physicsVlasov-Poisson systemLagrangian solutions

Mathematics Subject Classification ID

Statistical mechanics of plasmas (82D10) Initial value problems for nonlinear first-order PDEs (35F25) Hyperbolic equations on manifolds (58J45) Vlasov equations (35Q83)

Related Items

On solutions of the transport equation in the presence of singularities ⋮ Nonlinear waves and dispersive equations. Abstracts from the workshop held June 26 -- July 2, 2022 ⋮ Moment propagation of the plasma-charge model with a time-varying magnetic field ⋮ Polynomial propagation of moments for a plasma-charge model with large data ⋮ Debye screening for the stationary Vlasov-Poisson equation in interaction with a point charge ⋮ Stability of a point charge for the Vlasov-Poisson system: the radial case

Cites Work

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• Flows of vector fields with point singularities and the vortex-wave system
• Lagrangian flows for vector fields with anisotropic regularity
• Sub-linear estimate of large velocities in a collisionless plasma
• Existence and uniqueness of maximal regular flows for non-smooth vector fields
• A uniqueness criterion for unbounded solutions to the Vlasov-Poisson system
• On the Lagrangian structure of transport equations: the Vlasov-Poisson system
• Transport equation and Cauchy problem for BV vector fields
• The Cauchy problem for the 3-D Vlasov-Poisson system with point charges
• Uniqueness of the solution to the Vlasov--Poisson system with bounded density
• Lagrangian solutions to the Vlasov-Poisson system with \(L^1\) density
• Lagrangian solutions to the 2D Euler system with \(L^1\) vorticity and infinite energy
• Ordinary differential equations, transport theory and Sobolev spaces
• On the plasma-charge model
• Global existence for the Vlasov-Poisson equation in 3 space variables with small initial data
• 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
• On classical solutions in the large in time of two-dimensional Vlasov's equation
• Global-in-time solutions to the three-dimensional Vlasov--Poisson system
• Propagation of space moments in the Vlasov-Poisson equation and further results
• Polynomial propagation of moments and global existence for a Vlasov-Poisson system with a point charge
• LAGRANGIAN FLOWS FOR VECTOR FIELDS WITH GRADIENT GIVEN BY A SINGULAR INTEGRAL
• Estimates and regularity results for the DiPerna-Lions flow
• Global existence of smooth solutions to the vlasov poisson system in three dimensions
• Uniqueness and stability for the Vlasov-Poisson system with spatial density in Orlicz spaces
• Classical Fourier Analysis
• On the Attractive Plasma-Charge System in 2-d
• Continuity equations and ODE flows with non-smooth velocity

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