3 papers
math.AP2010
Explicit Solutions of the One-dimensional Vlasov-Poisson System with Infinite Mass and Energy
Stephen Pankavich
A collisionless plasma is modeled by the Vlasov-Poisson system in one-dimension. A fixed background of positive charge, dependent only upon velocity, is assumed and the situation i…
math.AP2010
Local Existence for the One-dimensional Vlasov-Poisson System with Infinite Mass
Stephen Pankavich
A collisionless plasma is modeled by the Vlasov-Poisson system in one dimension. We consider the situation in which mobile negative ions balance a fixed background of positive char…
math.AP2010
Decay in Time for a One-Dimensional Two-Component Plasma
Stephen Pankavich, Robert Glassey, Jack Schaeffer
The motion of a collisionless plasma is described by the Vlasov-Poisson system, or in the presence of large velocities, the relativistic Vlasov-Poisson system. Both systems are con…