On the two and one-half dimensional Vlasov–Poisson system with an external magnetic field : Global well-posedness and stability of confined steady states
The time evolution of a two-component collisionless plasma is modelled by the Vlasov–Poisson system. In this work, the setting is two and one-half dimensional, that is, the distribution functions of the particles species are independent of the third space dimension. We consider the case that an external magnetic field is present in order to confine the plasma in a given infinitely long cylinder. A