46 citations · 346 across the 38 of their papers we have counts for
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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…
An in-host model of HIV incorporating latent infection and viral mutation
Stephen Pankavich, Deborah Shutt
We construct a seven-component model of the in-host dynamics of the Human Immunodeficiency Virus Type-1 (i.e, HIV) that accounts for latent infection and the propensity of viral mu…
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…