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

Bostan, Mihai; Caldini-Queiros, Céline

doi:10.1090/S0033-569X-2014-01356-1

Authors: Mihai Bostan and Céline Caldini-Queiros
Journal: Quart. Appl. Math. 72 (2014), 323-345
MSC (2010): Primary 35Q75, 78A35, 82D10.
DOI: https://doi.org/10.1090/S0033-569X-2014-01356-1
Published electronically: March 28, 2014
MathSciNet review: 3186240
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Abstract: The subject matter of this paper concerns the derivation of the finite Larmor 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.

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