Journal of Pure and Applied Mathematics: Advances and ApplicationsAuthor's: E. Frénod and A. Mouton
Pages: [135] - [169]
Received Date: August 22, 2010
Submitted by:
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 Frénod, Sonnendrücker and Bostan on
the 2D finite Larmor radius model. In the first part, we recall the
physical and mathematical contexts. We also recall two main results
from previous papers of Frénod, Sonnendrücker 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
convergence results.
Vlasov-Poisson system, canonical gyrokinetic coordinates, Vlasov equation.
