46 citations · 346 across the 38 of their papers we have counts for
4 papers · 2 filters
Instability conditions for some periodic BGK waves in the Vlasov-Poisson system
Stephen Pankavich, Robert Allen
A one-dimensional, collisionless plasma given by the Vlasov-Poisson system is considered and the stability properties of periodic steady state solutions known as Bernstein-Greene-K…
Mathematical analysis of an in-host model of viral dynamics with spatial heterogeneity
Stephen Pankavich, Christian Parkinson
We consider a spatially-heterogeneous generalization of a well-established model for the dynamics of the Human Immunodeficiency Virus-type 1 (HIV) within a susceptible host. The mo…
A Short Proof of Increased Parabolic Regularity
Stephen Pankavich, Nicholas Michalowski
We present a new, short proof of the increased regularity obtained by solutions to uniformly parabolic partial differential equations. Though this setting is fairly introductory, o…
Global Classical Solutions of the one and one-half dimensional Vlasov-Maxwell Fokker-Planck System
Stephen Pankavich, Jack Schaeffer
We study the "one and one-half" dimensional Vlasov-Maxwell-Fokker-Planck system and obtain the first results concerning well-posedness of solutions. Specifically, we prove the glob…