Title: On the magnetic shield for a Vlasov-Poisson plasma,
Abstract: We study the screening of a bounded body $\Gamma$ against the effect of a
wind of charged particles, by means of a shield produced by a magnetic field
which becomes infinite on the border of $\Gamma$. The charged wind is modeled
by a Vlasov-Poisson plasma, the bounded body by a torus, and the external
magnetic field is taken close to the border of $\Gamma$. We study two models: a
plasma composed by different species with positive or negative charges, and
finite total mass of each species, and another made of many species of the same
sign, each having infinite mass. We investigate the time evolution of both
systems, showing in particular that the plasma particles cannot reach the body.
Finally we discuss possible extensions to more general initial data. We show
also that when the magnetic lines are straight lines, (that imposes an
unbounded body), the previous results can be improved.