MultiScale Analysis for Linear First Order PDEs. The Finite Larmor Radius Regime

DOI10.1137/15M1033034zbMath1351.35218MaRDI QIDQ2814476

Mihai Bostan

Publication date: 22 June 2016

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

zbMATH Keywords

Fokker-Planck equationaveraginglinear transport equationfinite Larmor radius approximationVlasov modelfirst order PDE

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) 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) Motion of charged particles (78A35)

Related Items (11)

Asymptotic analysis of parabolic equations with stiff transport terms by a multi-scale approach ⋮ The three dimensional Maxwell equations with strongly anisotropic electric permittivity ⋮ Gyrokinetics from variational averaging: Existence and error bounds ⋮ Asymptotic behavior for the Vlasov-Poisson equations with strong uniform magnetic field and general initial conditions ⋮ Finite Larmor radius regime: Collisional setting and fluid models ⋮ Averaging of highly-oscillatory transport equations ⋮ Numerical methods for the two-dimensional Vlasov-Poisson equation in the finite Larmor radius approximation regime ⋮ Multi-scale analysis for highly anisotropic parabolic problems ⋮ Numerical Methods for Computing an Averaged Matrix Field. Application to the Asymptotic Analysis of a Parabolic Problem with Stiff Transport Terms ⋮ Asymptotic Behavior for the Vlasov--Poisson Equations with Strong External Magnetic Field. Straight Magnetic Field Lines ⋮ Multi-scale analysis for wave problems with disparate propagation speeds

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