Quarterly of Applied Mathematics

Quarterly of Applied Mathematics

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


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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Additional Information

Mihai Bostan
Affiliation: Laboratoire d’Analyse, Topologie, Probabilités LATP, Centre de Mathématiques et Informatique CMI, UMR CNRS 7353, 39 rue Frédéric Joliot Curie, 13453 Marseille Cedex 13 France
Email: bostan@cmi.univ-mrs.fr

Céline Caldini-Queiros
Affiliation: Laboratoire de Mathématiques de Besançon, UMR CNRS 6623, Université de Franche-Comté, 16 route de Gray, 25030 Besançon Cedex France
Email: celine.caldini-queiros@univ-fcomte.fr

DOI: https://doi.org/10.1090/S0033-569X-2014-01356-1
Received by editor(s): July 4, 2012
Received by editor(s) in revised form: December 15, 2012
Published electronically: March 28, 2014
Article copyright: © Copyright 2014 Brown University


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