Jonathan Ben-Artzi

Sharp Time Decay and Scattering of Small Data Solutions to the Relativistic Vlasov-Maxwell System

A multispecies, collisionless plasma is modeled by the relativistic Vlasov-Maxwell system. Assuming the plasma is globally neutral, we show that solutions can be constructed with arbitrarily fast, polynomial rates of decay, depending upon the cancellation properties of the limiting spatial averages, as well as the mass...