Well-posedness of a diffusive gyro-kinetic model

DOI10.1016/j.anihpc.2011.03.002zbMath1269.82075OpenAlexW2613351876MaRDI QIDQ719442

D. Kharzeev

Publication date: 10 October 2011

Published in: Annales de l'Institut Henri Poincaré. Analyse Non Linéaire (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.anihpc.2011.03.002

zbMATH Keywords

Cauchy problemplasmaselectro-neutrality equationgyro-kinetic model

Mathematics Subject Classification ID

Navier-Stokes equations (35Q30) Transport processes in time-dependent statistical mechanics (82C70) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Statistical mechanics of plasmas (82D10) Motion of charged particles (78A35) Nuclear reactor theory; neutron transport (82D75) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02) PDEs in connection with statistical mechanics (35Q82)

Related Items

The gyrokinetic limit for the Vlasov–Poisson system with a point charge ⋮ On the three-dimensional finite Larmor radius approximation: the case of electrons in a fixed background of ions ⋮ On the Vlasov--Maxwell System with a Strong Magnetic Field ⋮ On the asymptotic limit of the three dimensional Vlasov-Poisson system for large magnetic field: formal derivation ⋮ Anisotropy in a strongly magnetized plasma

Uses Software

• GYSELA

Cites Work

• Derivation of a gyrokinetic model. Existence and uniqueness of specific stationary solution
• Smoothing effect for the nonlinear Vlasov-Poisson-Fokker-Planck system
• Computing ITG turbulence with a full-\(f\) semi-Lagrangian code
• The Finite Larmor Radius Approximation
• Système Euler-Poisson non linéaire. Existence globale de solutions faibles entropiques
• Quasineutral limit of an euler-poisson system arising from plasma physics
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