46 citations · 346 across the 38 of their papers we have counts for
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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…
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…
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…
Multiscaling for Classical Nanosystems: Derivation of Smoluchowski and Fokker-Planck Equations
Stephen Pankavich, Zeina Shreif, Peter Ortoleva
Using multiscale analysis and methods of statistical physics, we show that a solution to the N-atom Liouville Equation can be decomposed via an expansion in terms of a smallness pa…
Global Existence and Increased Spatial Decay for the Radial Vlasov-Poisson System with Steady Spatial Asymptotics
Stephen Pankavich
A collisionless plasma is modeled by the Vlasov-Poisson system in three space dimensions. A fixed background of positive charge, which is independent of time and space, is assumed.…
Global Existence for the Vlasov-Poisson System with Steady Spatial Asymptotics
Stephen Pankavich
A collisionless plasma is modeled by the Vlasov-Poisson system in three space dimensions. A fixed background of positive charge - dependant upon only velocity - is assumed. The sit…
A Particle Method for a Collisionless Plasma with Infinite Mass
Stephen Pankavich
The one-dimensional Vlasov-Poisson system is considered and a particle method is developed to approximate solutions without compact support which tend to a fixed background of char…