Two-dimensional Finite Larmor Radius approximation in canonical gyrokinetic coordinates
Abstract
In this paper, we present some new results about the approximation of the Vlasov-Poisson system with a strong external magnetic field by the 2D finite Larmor radius model. The proofs within the present work are built by using two-scale convergence tools, and can be viewed as a new slant on previous works of Fr\'enod and Sonnendr\"ucker and Bostan on the 2D finite Larmor Radius model. In a first part, we recall the physical and mathematical contexts. We also recall two main results from previous papers of Fr\'enod and Sonnendr\"ucker and Bostan. Then, we introduce a set of variables which are so-called canonical gyrokinetic coordinates, and we write the Vlasov equation in these new variables. Then, we establish some two-scale convergence and weak-* convergence results.
Keywords
Cite
@article{arxiv.1011.0826,
title = {Two-dimensional Finite Larmor Radius approximation in canonical gyrokinetic coordinates},
author = {Alexandre Mouton and Emmanuel Frenod},
journal= {arXiv preprint arXiv:1011.0826},
year = {2011}
}