Anisotropic Boltzmann-Gibbs dynamics of strongly magnetized Vlasov-Fokker-Planck equations
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Publication:2323398
DOI10.3934/krm.2019024zbMath1420.35413arXiv1610.05138OpenAlexW2535901304WikidataQ128340668 ScholiaQ128340668MaRDI QIDQ2323398
Maxime Herda, Luis Miguel Rodrigues
Publication date: 2 September 2019
Published in: Kinetic and Related Models (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1610.05138
plasma physicsVlasov equationGibbs equilibriumstrong magnetic fieldhypocoercivityFokker-Planck operatorMaxwell-Boltzmann distributiondisparate massgyrokinetic theory
Statistical mechanics of plasmas (82D10) Ionized gas flow in electromagnetic fields; plasmic flow (76X05) Vlasov equations (35Q83) Fokker-Planck equations (35Q84)
Related Items (9)
Trend to the equilibrium for the Fokker-Planck system with an external magnetic field ⋮ Determining a parabolic system by boundary observation of its non-negative solutions with biological applications ⋮ Asymptotically Preserving Particle-in-Cell Methods for Inhomogeneous Strongly Magnetized Plasmas ⋮ Kinetic Modelling of Strongly Magnetized Tokamak Plasmas with Mass Disparate Particles. The Electron Boltzmann Relation ⋮ Classical and quantum mechanical models of many-particle systems. Abstracts from the workshop held December 3--9, 2017 ⋮ Large-time behavior of solutions to Vlasov-Poisson-Fokker-Planck equations: from evanescent collisions to diffusive limit ⋮ Convergence analysis of asymptotic preserving schemes for strongly magnetized plasmas ⋮ Mathematical Study of a Lagrange-Multiplier Technique for Stiff Transport Problems ⋮ Asymptotics of the three-dimensional Vlasov equation in the large magnetic field limit
Cites Work
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- On massless electron limit for a multispecies kinetic system with external magnetic field
- Plasma physics and controlled nuclear fusion. Transl. from the Japanese
- A uniqueness criterion for unbounded solutions to the Vlasov-Poisson system
- On the asymptotic limit of the three dimensional Vlasov-Poisson system for large magnetic field: formal derivation
- Anomalous transport
- Asymptotics of the three-dimensional Vlasov equation in the large magnetic field limit
- Short and long time behavior of the Fokker-Planck equation in a confining potential and applications
- Diffusion limit of the Vlasov-Poisson-Fokker-Planck system
- Semigroups of linear operators and applications to partial differential equations
- Free energy and solutions of the Vlasov-Poisson-Fokker-Planck system: external potential and confinement (large time behavior and steady states)
- Mathematical theory of incompressible nonviscous fluids
- On long time asymptotics of the Vlasov-Fokker-Planck equation and of the Vlasov-Poisson-Fokker-Planck system with Coulombic and Newtonian potentials
- Control of large velocities in the two-dimensional gyrokinetic approximation.
- The Vlasov-Poisson system with strong magnetic field
- On Maxwellian equilibria of insulated semiconductors
- Invariant measures for a stochastic Fokker-Planck equation
- Large-time behavior of solutions to Vlasov-Poisson-Fokker-Planck equations: from evanescent collisions to diffusive limit
- Hypoelliptic estimates and spectral theory for Fokker-Planck operators and Witten Laplacians
- Isotropic hypoelliptic and trend to equilibrium for the Fokker-Planck equation with a high-degree potential
- The Maxwell-Boltzmann approximation for ion kinetic modeling
- Can one hear whistler waves?
- Vorticity and Incompressible Flow
- Transport coefficients of plasmas and disparate mass binary gases
- Modelling and simulating a multispecies plasma
- Hypocoercivity
- Local existence of solutions of the vlasov‐maxwell equations and convergence to the vlasov‐poisson equations for infinite light velocity
- Global weak solution of the vlasov–poisson system for small electrons mass
- STATIONARY STATES IN PLASMA PHYSICS: MAXWELLIAN SOLUTIONS OF THE VLASOV-POISSON SYSTEM
- 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
- PARABOLIC LIMIT AND STABILITY OF THE VLASOV–FOKKER–PLANCK SYSTEM
- THE ASYMPTOTICS OF COLLISION OPERATORS FOR TWO SPECIES OF PARTICLES OF DISPARATE MASSES
- Classical Fourier Analysis
- Hypocoercivity for linear kinetic equations conserving mass
- Closure of the Strongly Magnetized Electron Fluid Equations in the Adiabatic Regime
- Asymptotically Preserving Particle-in-Cell Methods for Inhomogeneous Strongly Magnetized Plasmas
- Quantitative perturbative study of convergence to equilibrium for collisional kinetic models in the torus
- Asymptotic Transition from Kinetic to Adiabatic Electrons along Magnetic Field Lines
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