On the asymptotic limit of the three dimensional Vlasov-Poisson system for large magnetic field: formal derivation
From MaRDI portal
Publication:523254
DOI10.1007/s10955-016-1645-2zbMath1360.35280arXiv1603.03666OpenAlexW3101993128WikidataQ59468787 ScholiaQ59468787MaRDI QIDQ523254
Publication date: 20 April 2017
Published in: Journal of Statistical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1603.03666
Asymptotic behavior of solutions to PDEs (35B40) PDEs in connection with optics and electromagnetic theory (35Q60) Statistical mechanics of plasmas (82D10) Motion of charged particles (78A35) Nuclear reactor theory; neutron transport (82D75) Vlasov equations (35Q83)
Related Items
Magnetic confinement for the 2D axisymmetric relativistic Vlasov-Maxwell system in an annulus ⋮ Gyrokinetics from variational averaging: Existence and error bounds ⋮ Asymptotic behavior for the Vlasov-Poisson equations with strong uniform magnetic field and general initial conditions ⋮ Uniformly Accurate Methods for Three Dimensional Vlasov Equations under Strong Magnetic Field with Varying Direction ⋮ INVITED: Slow manifold reduction for plasma science ⋮ Asymptotically Preserving Particle-in-Cell Methods for Inhomogeneous Strongly Magnetized Plasmas ⋮ Averaging of highly-oscillatory transport equations ⋮ Classical and quantum mechanical models of many-particle systems. Abstracts from the workshop held December 3--9, 2017 ⋮ On the Vlasov--Maxwell System with a Strong Magnetic Field ⋮ Anomalous transport ⋮ The Vlasov--Poisson System with a Uniform Magnetic Field: Propagation of Moments and Regularity ⋮ Sharp decay estimates for the Vlasov-Poisson system with an external magnetic field ⋮ Uniformly accurate methods for Vlasov equations with non-homogeneous strong magnetic field ⋮ Asymptotic Behavior for the Vlasov--Poisson Equations with Strong External Magnetic Field. Straight Magnetic Field Lines ⋮ Convergence analysis of asymptotic preserving schemes for strongly magnetized plasmas ⋮ Anisotropic Boltzmann-Gibbs dynamics of strongly magnetized Vlasov-Fokker-Planck equations ⋮ Asymptotics of the three-dimensional Vlasov equation in the large magnetic field limit ⋮ Limit model for the Vlasov–Maxwell system with strong magnetic fields via gyroaveraging
Cites Work
- Unnamed Item
- Unnamed Item
- Plasma physics and controlled nuclear fusion. Transl. from the Japanese
- Gyrokinetic models for strongly magnetized plasmas with general magnetic shape
- Well-posedness of a diffusive gyro-kinetic model
- Derivation of a gyrokinetic model. Existence and uniqueness of specific stationary solution
- Control of large velocities in the two-dimensional gyrokinetic approximation.
- A high-order discontinuous Galerkin method for 2D incompressible flows
- The Vlasov-Poisson system with strong magnetic field
- Massively parallel three-dimensional toroidal gyrokinetic flux-tube turbulence simulation
- Two-scale expansion of a singularly perturbed convection equation
- Total sets and semicontinuity of the Kobayashi distance.
- Can one hear whistler waves?
- On the three-dimensional finite Larmor radius approximation: the case of electrons in a fixed background of ions
- Effect of the polarization drift in a strongly magnetized plasma
- THE VLASOV–POISSON SYSTEM WITH STRONG MAGNETIC FIELD IN QUASINEUTRAL REGIME
- Foundations of nonlinear gyrokinetic theory
- Gyrokinetic Vlasov Equation in Three Dimensional Setting. Second Order Approximation
- The three-dimensional finite Larmor radius approximation
- The Vlasov–Maxwell System with Strong Initial Magnetic Field: Guiding-Center Approximation
- Gyrokinetic approach in particle simulation
- Kinetic equations for low frequency instabilities in inhomogeneous plasmas
- 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
- convergence of the vlasov-poisson system to the incompressible euler equations
- Fundamentals of Plasma Physics
- On The Confinement of a Tokamak Plasma
- Stochastic homogenization of quasilinear PDEs with a spatial degeneracy
This page was built for publication: On the asymptotic limit of the three dimensional Vlasov-Poisson system for large magnetic field: formal derivation
