The finite Larmor radius regime for the Vlasov-Poisson equations. The three dimensional setting with non uniform magnetic field
Abstract
The subject matter of this paper concerns the mathematical analysis of toka-mak plasmas. We focus on the finite Larmor radius regime with general magnetic shapes. We concentrate on the asymptotic analysis for the Vlasov-Poisson equations under strong external magnetic fields, by averaging with respect to the fast cyclotronic motion around the magnetic lines. The main properties of the limit model are emphasized : mass and energy balances, Hamiltonian structure.
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