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arXiv · 1011.0826

Two-dimensional Finite Larmor Radius approximation in canonical gyrokinetic coordinates

Alexandre Mouton·Emmanuel Frenod
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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.

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BibTeXRIS

Alexandre Mouton, Emmanuel Frenod. 2010-11-03. Two-dimensional Finite Larmor Radius approximation in canonical gyrokinetic coordinates. https://arxiv.org/abs/1011.0826

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