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The motion of a collisionless plasma - a high-temperature, low-density,ionized gas - is described by the Vlasov-Maxwell system. In the presence oflarge velocities, relativistic corrections are meaningful, and when symmetry ofthe particle densities is assumed this formally becomes the relativisticVlasov-Poisson system. These equations are considered in one space dimensionand two momentum dimensions in both the monocharged (i.e., single species ofion) and neutral cases. The behavior of solutions to these systems is studiedfor large times, yielding estimates on the growth of particle momenta and alower bound, uniform-in-time, on norms of the charge density. We also presentsimilar results in the same dimensional settings for the classicalVlasov-Poisson system, which excludes relativistic effects.

On long-time behavior of monocharged and neutral plasma in one and one-half dimensions