Geodesic
High magnetic field equilibria for the Fokker–Planck–Landau equation
Annales de l'I.H.P. Analyse non linéaire, Tome 33 (2016) no. 4, pp. 899-931
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The subject matter of this paper concerns the equilibria of the Fokker–Planck–Landau equation under the action of strong magnetic fields. Averaging with respect to the fast cyclotronic motion when the Larmor radius is supposed to be finite leads to an integro-differential version of the Fokker–Planck–Landau collision kernel, combining perpendicular space coordinates (with respect to the magnetic lines) and velocity. We determine the equilibria of this gyroaveraged Fokker–Planck–Landau kernel and derive the macroscopic equations describing the evolution around these equilibria, in the parallel direction.

DOI : 10.1016/j.anihpc.2015.01.008
Classification : 35Q75, 78A35, 82D10
Keywords: Finite Larmor radius approximation, Fokker–Planck–Landau equation, H-theorem 
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     title = {High magnetic field equilibria for the {Fokker{\textendash}Planck{\textendash}Landau} equation},
     journal = {Annales de l'I.H.P. Analyse non lin\'eaire},
     pages = {899--931},
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     zbl = {1350.35187},
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Bostan, Mihai. High magnetic field equilibria for the Fokker–Planck–Landau equation. Annales de l'I.H.P. Analyse non linéaire, Tome 33 (2016) no. 4, pp. 899-931. doi: 10.1016/j.anihpc.2015.01.008

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