Global classical solutions for the ``one and one-half dimensional relativistic Vlasov-Maxwell-Fokker-Planck system

DOI10.3934/krm.2015.8.169zbMath1311.35316arXiv1312.3666OpenAlexW2318671503MaRDI QIDQ2514564

Nicholas Michalowski, Stephen Pankavich

Publication date: 3 February 2015

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

Full work available at URL: https://arxiv.org/abs/1312.3666

zbMATH Keywords

regularityFokker-Planck equationglobal existencekinetic theoryVlasov

Mathematics Subject Classification ID

Interacting particle systems in time-dependent statistical mechanics (82C22) Brownian motion (60J65) First-order nonlinear hyperbolic equations (35L60) Stochastic methods (Fokker-Planck, Langevin, etc.) applied to problems in time-dependent statistical mechanics (82C31) PDEs in connection with relativity and gravitational theory (35Q75) Statistical mechanics of plasmas (82D10) Vlasov equations (35Q83) Fokker-Planck equations (35Q84)

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Cites Work

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• On a relativistic Fokker-Planck equation in kinetic theory
• Short and long time behavior of the Fokker-Planck equation in a confining potential and applications
• Global classical solutions of the ``one and one-half dimensional Vlasov-Maxwell-Fokker-Planck system
• Singularity formation in a collisionless plasma could occur only at high velocities
• The classical limit of the relativistic Vlasov-Maxwell system
• 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
• Classical solutions and the Glassey-Strauss theorem for the 3D Vlasov-Maxwell system
• A new approach to study the Vlasov-Maxwell system.
• THE GLOBAL CLASSICAL SOLUTION OF THE VLASOV–MAXWELL–FOKKER–PLANCK SYSTEM NEAR MAXWELLIAN
• Global Classical Solutions for the Vlasov–Maxwell–Fokker–Planck System
• On the ‘one and one-half dimensional’ relativistic Vlasov-Maxwell system
• Global weak solutions of Vlasov‐Maxwell systems
• Hypocoercivity
• Global existence of smooth solutions for the Vlasov-Fokker-Planck equation in $1$ and $2$ space dimensions
• Global existence of smooth solutions to the vlasov poisson system in three dimensions
• On the one‐ and one‐half‐dimensional relativistic Vlasov‐Fokker‐Planck‐Maxwell system
• Global Existence for the Vlasov-Poisson System with Steady Spatial Asymptotics
• A Short Proof of Increased Parabolic Regularity

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