  The energy production through thermo-nuclear fusion requires the confinement
of the plasma into a bounded domain. In most of the cases, such configurations
are obtained by using strong magnetic fields. Several models exist for
describing the evolution of a strongly magnetized plasma, i.e., guiding-center
approximation, finite Larmor radius regime, etc. The topic of this paper
concerns a different approach leading to plasma confinement. More exactly we
are interested in mathematical models with fast oscillating magnetic fields. We
provide rigorous derivations for this kind of models and analyze their
properties.
