SP
Stephen Pankavich
math.APmath.MPmath-phphysics.comp-phq-bio.PEcond-mat.stat-mechcs.NAmath.NAphysics.chem-phcond-mat.soft
On Valency
published · living versionsW_7etc4a8k·v2 · currentpublished
Mathematical analysis of an in-host model of viral dynamics with spatial heterogeneity
with Christian Parkinson
2 versions
Preprints & journals
61 papers in the corpus · 2008–2026Sharp Time Decay and Scattering of Small Data Solutions to the Relativistic Vlasov-Maxwell System2609.29013v1 · Grace Mattingly, Stephen Pankavich, Jonathan Ben-Artzi2026 · 0 citationsarXiv
Modified scattering for the Vlasov-Riesz system with long-range interactions2604.04256v1 · Younghun Hong, Stephen Pankavich2026 · 0 citationsarXiv
Active subspace learning for coarse-grained molecular dynamics.41279792 · Wojnar, Anna, Pankavich, Stephen, Pak, Alexander J2026 · 0 citationsbioRxiv : the preprint server for biology. 2025
The non-relativistic limit of scattering states for the Vlasov equation with short-range interaction potentials2509.08072v1 · Younghun Hong, Stephen Pankavich2025 · 0 citationsarXiv
Arbitrary Polynomial Decay Rates of Neutral, Collisionless Plasmas2502.02678v1 · Grace Mattingly, Stephen Pankavich, Jonathan Ben-Artzi2025 · 0 citationsarXiv
Three-stage modeling of HIV infection and implications for antiretroviral therapy.38418658 · Clarke, Cameron, Pankavich, Stephen2024 · 12 citationsJournal of mathematical biology. 2024;88(3):34
Modified Scattering of Solutions to the Relativistic Vlasov-Maxwell System Inside the Light Cone2306.11725v2 · Stephen Pankavich, Jonathan Ben-Artzi2023 · 3 citationsarXiv
Parallelized Domain Decomposition for Multi-Dimensional Lagrangian Random Walk, Mass-Transfer Particle Tracking Schemes2204.03756v1 · Lucas Schauer, Michael J. Schmidt, Nicholas B. Engdahl et al.2022 · 5 citationsarXiv
Spatially-heterogeneous embedded stochastic SEIR models for the 2014-2016 Ebola outbreak in West Africa.35691641 · Martinez, Kaitlyn, Brown, Grant, Pankavich, Stephen2022 · 4 citationsSpatial and spatio-temporal epidemiology. 2022;41:100505
Asymptotic Growth and Decay of Two-Dimensional Symmetric Plasmas2202.03717v2 · Jonathan Ben-Artzi, Baptiste Morisse, Stephen Pankavich2022 · 3 citationsarXiv
Scattering and Asymptotic Behavior of Solutions to the Vlasov-Poisson System in High Dimension2201.09464v3 · Stephen Pankavich2022 · 7 citationsarXiv
A toy model for the relativistic Vlasov-Maxwell system2106.11399v2 · Jonathan Ben-Artzi, Stephen Pankavich, Junyong Zhang2021 · 1 citationarXiv
Global Sensitivity Analysis of Plasma Instabilities via Active Subspaces2106.08552v2 · Stephen Pankavich, Soraya Terrab2021 · 3 citationsarXiv
Asymptotic Dynamics of Dispersive, Collisionless Plasmas2106.06912v3 · Stephen Pankavich2021 · 9 citationsCommunications in Mathematical Physics, 2022
A Computational Information Criterion for Particle-Tracking with Sparse or Noisy Data2106.07111v1 · Nhat Thanh Tran, David A. Benson, Michael J. Schmidt et al.2021 · 3 citationsAdvances in Water Resources (2021) 151: 103893
Nonparametric, data-based kernel interpolation for particle-tracking simulations and kernel density estimation2010.06737v1 · David A Benson, Diogo Bolster, Stephen Pankavich et al.2020 · 20 citationsarXiv
Exact Large Time Behavior of Spherically-Symmetric Plasmas2006.11447v3 · Stephen Pankavich2020 · 15 citationsarXiv
Reactive particle-tracking solutions to a benchmark problem on heavy metal cycling in lake sediments.32688144 · Schmidt, Michael J, Pankavich, Stephen D, Navarre-Sitchler, Alexis et al.2021 · 18 citationsJournal of contaminant hydrology. 2020;234:103642
A Mass-transfer Particle-tracking Method for Simulating Transport with Discontinuous Diffusion Coefficients2001.04936v2 · Michael J. Schmidt, Nicholas B. Engdahl, Stephen D. Pankavich et al.2020 · 19 citationsAdvances in Water Resources, Volume 140, 2020, 103577
Bistable Dynamics and Hopf Bifurcation in a Refined Model of Early Stage HIV Infection1910.06280v1 · Stephen Pankavich, Nathan Neri, Deborah Shutt2019 · 5 citationsDiscrete and Continuous Dynamical Systems B, 2019
Entropy: The former trouble with particles (including a new numerical model computational penalty for the Akaike information criterion)1905.06119v1 · David A. Benson, Stephen Pankavich, Michael Schmidt et al.2019 · 2 citationsarXiv
Numerical Equivalence Between SPH and Probabilistic Mass Transfer Methods for Lagrangian Simulation of Dispersion1812.09260v2 · Guillem Sole-Mari, Michael J. Schmidt, Stephen D. Pankavich et al.2018 · 26 citationsarXiv
On the separate treatment of mixing and spreading by the reactive-particle-tracking algorithm: An example of accurate upscaling of reactive Poiseuille flow1811.01708v1 · David A. Benson, Diogo Bolster, Stephen Pankavich2018 · 39 citationsarXiv
Concentrating solutions of the relativistic Vlasov-Maxwell system1807.02801v1 · Jonathan Ben-Artzi, Simone Calogero, Stephen Pankavich2018 · 4 citationsarXiv
A Lagrangian Method for Reactive Transport with Solid/Aqueous Chemical Phase Interaction1805.06072v4 · Michael J. Schmidt, Stephen D. Pankavich, Alexis Navarre-Sitchler et al.2018 · 43 citationsarXiv
On the accuracy of simulating mixing by random-walk particle-based mass-transfer algorithms1803.02407v3 · Michael J. Schmidt, Stephen D. Pankavich, David A. Benson2018 · 27 citationsarXiv
Arbitrarily large solutions of the Vlasov-Poisson system1708.02307v1 · Jonathan Ben-Artzi, Simone Calogero, Stephen Pankavich2017 · 9 citationsarXiv
Estimating the reproductive number, total outbreak size, and reporting rates for Zika epidemics in South and Central America.28803069 · Shutt, Deborah P, Manore, Carrie A, Pankavich, Stephen et al.2018 · 69 citationsEpidemics. 2017;21:63-79
Mathematical analysis and dynamic active subspaces for a long term model of HIV.28092960 · Loudon, Tyson, Pankavich, Stephen2017 · 30 citationsMathematical biosciences and engineering : MBE. 2017;14(3):709-733
A Kernel-based Lagrangian Method for Imperfectly-mixed Chemical Reactions1610.02412v2 · Michael Schmidt, Stephen Pankavich, David Benson2016 · 36 citationsarXiv
On the spatially homogeneous and isotropic Einstein-Vlasov-Fokker-Planck system with cosmological scalar field1606.05101v2 · Simone Calogero, Stephen Pankavich2016 · 0 citationsarXiv
Separated Characteristics and Global Solvability for the one and one-half dimensional Vlasov Maxwell System1604.04590v1 · Robert Glassey, Stephen Pankavich, Jack Schaeffer2016 · 4 citationsarXiv
Principal Component Analysis: Resources for an Essential Application of Linear Algebra1604.05245v1 · Stephen Pankavich, Rebecca Swanson2016 · 2 citationsPRIMUS: Problems, Resources, and Issues in Mathematics Undergraduate Studies, 25:5, 400-420
A Modified SEIR Model for the Spread of Ebola in Western Africa and Metrics for Resource Allocation1603.04955v3 · Paul Diaz, Paul Constantine, Kelsey Kalmbach et al.2016 · 74 citationsarXiv
An in-host model of HIV incorporating latent infection and viral mutation1508.07616v1 · Stephen Pankavich, Deborah Shutt2015 · 5 citationsDynamical Systems, Differential Equations and Applications, AIMS Proceedings, 2015 pp. 913-922
Mathematical analysis of an in-host model of viral dynamics with spatial heterogeneity1508.07617v2 · Stephen Pankavich, Christian Parkinson2015 · 17 citationsDisc. Cont. Dyn. Sys. B 21: 1237-1257, 2016on Valency
Instability conditions for some periodic BGK waves in the Vlasov-Poisson system1508.07619v1 · Stephen Pankavich, Robert Allen2015 · 10 citationsEur. Phys. J. D (2014) 68: 363
A Short Proof of Increased Parabolic Regularity1502.01773v1 · Stephen Pankavich, Nicholas Michalowski2015 · 8 citationsElectronic Journal of Differential Equations 205 (2015) 1-9
Global Classical Solutions of the one and one-half dimensional Vlasov-Maxwell Fokker-Planck System1502.01777v2 · Stephen Pankavich, Jack Schaeffer2015 · 5 citationsCommunications in Mathematical Sciences 14: 209-232, 2016
Spatially homogeneous solutions of the Vlasov-Nordström-Fokker-Planck system1403.3641v2 · Jos'e Antonio Alc'antara Felix, Simone Calogero, Stephen Pankavich2014 · 11 citationsarXiv
A One-dimensional kinetic model of plasma dynamics with a transport field1312.4623v1 · Charles Nguyen, Jennifer Anderson, Stephen Pankavich2013 · 5 citationsEvolution Equations and Control Theory 3 (2014) 681-698
Global Existence for the "One and one-half" dimensional relativistic Vlasov-Maxwell-Fokker-Planck system1312.3666v2 · Stephen Pankavich, Nicholas Michalowski2013 · 1 citationKinetic and Related Models 8 (2015) 169-199
The Effects of Latent Infection on the Dynamics of HIV1312.3670v1 · Stephen Pankavich2013 · 48 citationsDifferential Equations and Dynamical Systems, 3, 2016on Valency
Hierarchical Multiscale Modeling of Macromolecules and their Assemblies.23671457 · Ortoleva, P, Singharoy, A, Pankavich, S2021 · 6 citationsSoft matter. 2013;9(16):4319-4335
Nanosystem self-assembly pathways discovered via all-atom multiscale analysis.22372746 · Pankavich, Stephen D, Ortoleva, Peter J2012 · 3 citationsThe journal of physical chemistry. B. 2012;116(29):8355-62
Multiscale Theory of Finite Size Bose Systems: Implications for Collective and Single-Particle Excitations1203.0794v1 · Stephen Pankavich, Zeina Zhreif, Yong Chen et al.2012 · 8 citationsPhysical Review A 79, 013628, 2009
Time Decay for solutions to One-Dimensional Two-Component Plasma Equations1111.5396v1 · Robert Glassey, Stephen Pankavich, Jack Schaeffer2011 · 5 citationsQuarterly of Applied Mathematics 68: 135-141 (2010)
Nonlinear instability of solutions in parabolic and hyperbolic diffusion1110.6240v3 · Stephen Pankavich, Petronela Radu2011 · 4 citationsEvolution Equations and Control Theory 2 (2013) 403-422
Multiscaling for systems with a broad continuum of characteristic lengths and times: Structural transitions in nanocomposites.20661319 · Pankavich, S, Ortoleva, P2021 · 13 citationsJournal of mathematical physics. 2010;51(6):63303
Decay in Time for a One-Dimensional Two-Component Plasma1002.4925v1 · Stephen Pankavich, Robert Glassey, Jack Schaeffer2010 · 15 citationsMath. Meth. Appl. Sci. 31: 2115-2132, 2008
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