The guiding center approximation for the 2D Vlasov-Poisson equation

Consider the plane motion of a gas of charged particles subject to the self -consistent electric field and to a constant external magnetic field orthog onal to the plane of motion. As the intensity of the magnetic field tends t o infinity, the asymptotic behavior, in the long time limit, of the average density of particles obeys the vorticity formulation of the 2D incompressi ble Euler equation. (C) Academie des Sciences/Elsevier, Paris.