Limit model for the Vlasov–Maxwell system with strong magnetic fields via gyroaveraging

DOI10.1090/spmj/1668zbMath1482.35229OpenAlexW3180135056MaRDI QIDQ5009099

No author found.

Publication date: 19 August 2021

Published in: St. Petersburg Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/spmj/1668

zbMATH Keywords

strong magnetic fieldgyrokineticsVlasov-Maxwell system

Mathematics Subject Classification ID

Asymptotic expansions of solutions to PDEs (35C20) Statistical mechanics of plasmas (82D10) Kinetic theory of gases in time-dependent statistical mechanics (82C40) Vlasov equations (35Q83) Maxwell equations (35Q61)

Cites Work

• On the asymptotic limit of the three dimensional Vlasov-Poisson system for large magnetic field: formal derivation
• The Boltzmann equation and its applications
• The Vlasov-Poisson system with strong magnetic field
• Unique solvability of the first mixed problem for the Vlasov-Poisson system in infinite cylinder
• Stationary solutions of the Vlasov equations for a high-temperature two-component plasma
• The Gyrokinetic Description of Microturbulence in Magnetized Plasmas
• Foundations of nonlinear gyrokinetic theory
• Gyrokinetic Vlasov Equation in Three Dimensional Setting. Second Order Approximation
• Homogenization of the Vlasov Equation and of the Vlasov - Poisson System with a Strong External Magnetic Field
• Gyrokinetics from variational averaging: Existence and error bounds
• Nonlinear gyrokinetic equations for low-frequency electromagnetic waves in general plasma equilibria
• Vlasov--Poisson System Tackled by Particle Simulation Utilizing Boundary Element Methods
• Asymptotic Theory of the Boltzmann Equation
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Limit model for the Vlasov–Maxwell system with strong magnetic fields via gyroaveraging