46 citations · 346 across the 38 of their papers we have counts for
52 papers
Sharp Time Decay and Scattering of Small Data Solutions to the Relativistic Vlasov-Maxwell System
Grace Mattingly, Stephen Pankavich, Jonathan Ben-Artzi
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 a…
The non-relativistic limit of scattering states for the Vlasov equation with short-range interaction potentials
Younghun Hong, Stephen Pankavich
We study the relativistic and non-relativistic Vlasov equation driven by short-range interaction potentials and identify the large time dynamics of solutions. In particular, we con…
Arbitrary Polynomial Decay Rates of Neutral, Collisionless Plasmas
Grace Mattingly, Stephen Pankavich, Jonathan Ben-Artzi
A multispecies, collisionless plasma is modeled by the Vlasov-Poisson system. Assuming the plasma is neutral and the electric field decays with sufficient rapidity as …
Modified Scattering of Solutions to the Relativistic Vlasov-Maxwell System Inside the Light Cone
Stephen Pankavich, Jonathan Ben-Artzi
We consider the relativistic Vlasov-Maxwell system in three dimensions and study the limiting asymptotic behavior as of solutions launched by small, compactly suppor…
Parallelized Domain Decomposition for Multi-Dimensional Lagrangian Random Walk, Mass-Transfer Particle Tracking Schemes
Lucas Schauer, Michael J. Schmidt, Nicholas B. Engdahl +3
We develop a multi-dimensional, parallelized domain decomposition strategy (DDC) for mass-transfer particle tracking (MTPT) methods. These methods are a type of Lagrangian algorith…
Asymptotic Growth and Decay of Two-Dimensional Symmetric Plasmas
Jonathan Ben-Artzi, Baptiste Morisse, Stephen Pankavich
We study the large time behavior of classical solutions to the two-dimensional Vlasov-Poisson (VP) and relativistic Vlasov-Poisson (RVP) systems launched by radially-symmetric init…
Scattering and Asymptotic Behavior of Solutions to the Vlasov-Poisson System in High Dimension
Stephen Pankavich
We consider the repulsive Vlasov-Poisson system in dimension . A sufficient condition on the decay rate of the associated electric field is presented that guarantees the…
A Computational Information Criterion for Particle-Tracking with Sparse or Noisy Data
Nhat Thanh Tran, David A. Benson, Michael J. Schmidt +1
Traditional probabilistic methods for the simulation of advection-diffusion equations (ADEs) often overlook the entropic contribution of the discretization, e.g., the number of par…
A toy model for the relativistic Vlasov-Maxwell system
Jonathan Ben-Artzi, Stephen Pankavich, Junyong Zhang
The global-in-time existence of classical solutions to the relativistic Vlasov-Maxwell (RVM) system in three space dimensions remains elusive after nearly four decades of mathemati…
Global Sensitivity Analysis of Plasma Instabilities via Active Subspaces
Stephen Pankavich, Soraya Terrab
Active subspace analysis is a useful computational tool to identify and exploit the most important linear combinations in the space of a model's input parameters. These directions…
Asymptotic Dynamics of Dispersive, Collisionless Plasmas
Stephen Pankavich
A multispecies, collisionless plasma is modeled by the Vlasov-Poisson system. Assuming that the electric field decays with sufficient rapidity as , we show that the ve…
Nonparametric, data-based kernel interpolation for particle-tracking simulations and kernel density estimation
David A Benson, Diogo Bolster, Stephen Pankavich +1
Traditional interpolation techniques for particle tracking include binning and convolutional formulas that use pre-determined (i.e., closed-form, parameteric) kernels. In many inst…
Exact Large Time Behavior of Spherically-Symmetric Plasmas
Stephen Pankavich
We consider the classical and relativistic Vlasov-Poisson systems with spherically-symmetric initial data and prove the optimal decay rates for all suitable norms of the char…
A Mass-transfer Particle-tracking Method for Simulating Transport with Discontinuous Diffusion Coefficients
Michael J. Schmidt, Nicholas B. Engdahl, Stephen D. Pankavich +1
The problem of a spatially discontinuous diffusion coefficient () is one that may be encountered in hydrogeologic systems due to natural geological features or as…
Bistable Dynamics and Hopf Bifurcation in a Refined Model of Early Stage HIV Infection
Stephen Pankavich, Nathan Neri, Deborah Shutt
Recent clinical studies have shown that HIV disease pathogenesis can depend strongly on many factors at the time of transmission, including the strength of the initial viral load a…
Entropy: The former trouble with particles (including a new numerical model computational penalty for the Akaike information criterion)
David A. Benson, Stephen Pankavich, Michael Schmidt +1
Traditional random-walk particle-tracking (PT) models of advection and dispersion do not track entropy, because particle masses remain constant. Newer mass-transfer particle tracki…
Numerical Equivalence Between SPH and Probabilistic Mass Transfer Methods for Lagrangian Simulation of Dispersion
Guillem Sole-Mari, Michael J. Schmidt, Stephen D. Pankavich +1
Several Lagrangian methodologies have been proposed in recent years to simulate advection-dispersion of solutes in fluids as a mass exchange between numerical particles carrying th…
On the separate treatment of mixing and spreading by the reactive-particle-tracking algorithm: An example of accurate upscaling of reactive Poiseuille flow
David A. Benson, Diogo Bolster, Stephen Pankavich
The Eulerian advection-dispersion-reaction equation (ADRE) suffers the well-known scale-effect of reduced apparent reaction rates between chemically dissimilar fluids at larger sca…
Concentrating solutions of the relativistic Vlasov-Maxwell system
Jonathan Ben-Artzi, Simone Calogero, Stephen Pankavich
We study smooth, global-in-time solutions of the relativistic Vlasov-Maxwell system that possess arbitrarily large charge densities and electric fields. In particular, we construct…
A Lagrangian Method for Reactive Transport with Solid/Aqueous Chemical Phase Interaction
Michael J. Schmidt, Stephen D. Pankavich, Alexis Navarre-Sitchler +1
A significant drawback of Lagrangian (particle-tracking) reactive transport models has been their inability to properly simulate interactions between solid and liquid chemical phas…
On the accuracy of simulating mixing by random-walk particle-based mass-transfer algorithms
Michael J. Schmidt, Stephen D. Pankavich, David A. Benson
Several algorithms have been used for mass transfer between particles undergoing advective and macro-dispersive random walks. The mass transfer between particles is required for ge…
Arbitrarily large solutions of the Vlasov-Poisson system
Jonathan Ben-Artzi, Simone Calogero, Stephen Pankavich
We study smooth, global-in-time solutions of the Vlasov-Poisson system in the plasma physical case that possess arbitrarily large charge densities and electric fields. In particula…
Estimating the reproductive number, total outbreak size, and reporting rates for Zika epidemics in South and Central America
Deborah P. Shutt, Carrie A. Manore, Stephen Pankavich +2
As South and Central American countries prepare for increased birth defects from Zika virus outbreaks and plan for mitigation strategies to minimize ongoing and future outbreaks, u…
A Kernel-based Lagrangian Method for Imperfectly-mixed Chemical Reactions
Michael Schmidt, Stephen Pankavich, David Benson
Current Lagrangian (particle-tracking) algorithms used to simulate diffusion-reaction equations must employ a certain number of particles to properly emulate the system dynamics---…