The Vlasov--Poisson System with a Uniform Magnetic Field: Propagation of Moments and Regularity

DOI10.1137/20M1376133zbMath1464.76218arXiv2011.15006OpenAlexW3158621759MaRDI QIDQ3388513

Alexandre Rege

Publication date: 5 May 2021

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2011.15006

zbMATH Keywords

existenceuniquenesstime singularity

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Ionized gas flow in electromagnetic fields; plasmic flow (76X05) Vlasov equations (35Q83)

Related Items (2)

Propagation of velocity moments and uniqueness for the magnetized Vlasov–Poisson system ⋮ Moment propagation of the plasma-charge model with a time-varying magnetic field

Cites Work

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• Global existence to the Vlasov-Poisson system and propagation of moments without assumption of finite kinetic energy
• On the asymptotic limit of the three dimensional Vlasov-Poisson system for large magnetic field: formal derivation
• Uniqueness of the solution to the Vlasov--Poisson system with bounded density
• 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
• Propagation of space moments in the Vlasov-Poisson equation and further results
• The Vlasov-Poisson system with strong magnetic field
• Uniformly accurate particle-in-cell method for the long time solution of the two-dimensional Vlasov-Poisson equation with uniform strong magnetic field
• Classical solutions of the Vlasov-Poisson equations with external magnetic field in a half-space
• Regularity and propagation of moments in some nonlinear Vlasov systems
• Vlasov-Poisson equations for a two-component plasma in a homogeneous magnetic field
• Space Moments of the Vlasov--Poisson System: Propagation and Regularity
• THE VLASOV–POISSON SYSTEM WITH STRONG MAGNETIC FIELD IN QUASINEUTRAL REGIME
• Global existence of smooth solutions to the vlasov poisson system in three dimensions
• Homogenization of the Vlasov Equation and of the Vlasov - Poisson System with a Strong External Magnetic Field
• LONG TIME BEHAVIOR OF THE TWO-DIMENSIONAL VLASOV EQUATION WITH A STRONG EXTERNAL MAGNETIC FIELD
• Moment Propagation for Weak Solutions to the Vlasov–Poisson System
• Long Time Behaviour of an Exponential Integrator for a Vlasov-Poisson System with Strong Magnetic Field
• Stochastic homogenization of quasilinear PDEs with a spatial degeneracy

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