Finite Larmor radius approximation for collisional magnetic confinement. Part I: The linear Boltzmann equation

Mihai Bostan (1) , Céline Caldini Queiros (2)

1 I2M - Institut de Mathématiques de Marseille
2 LMB - Laboratoire de Mathématiques de Besançon (UMR 6623)

The subject matter of this paper concerns the derivation of the finite Lar-mor radius approximation, when collisions are taken into account. Several studies are performed, corresponding to different collision kernels : the relaxation and the Fokker-Planck operators. Gyroaveraging the relaxation operator leads to a position-velocity integral operator, whereas gyroaveraging the linear Fokker-Planck operator leads to diffusion in velocity but also with respect to the perpendicular position coordinates.

Domaines: Equations aux dérivées partielles [math.AP]

Mihai Bostan, Céline Caldini Queiros. Finite Larmor radius approximation for collisional magnetic confinement. Part I: The linear Boltzmann equation. Quarterly journal of pure and applied mathematics, 2014, LXXII (2), pp.323-345. ⟨10.1090/S0033-569X-2014-01356-1⟩. ⟨hal-01266550⟩