Publications

Submitted and In Revision

68. "Stability and Instability of Langmuir Waves via Active Subspace Decompositions" (with G. Mattingly, B. Longaker, N. Palmer, and D. Silantyev) in revision.

67. "Convergence of random walk and mass-transfer particle tracking algorithms for the simulation of advection-diffusion-reaction equations" (with D. Benson, N. Engdahl, M. Schmidt, L. Schauer, and D. Bolster) submitted.

66. "Parallelization of particle-mass-transfer algorithms on shared-memory, multi-core CPUs" (with D. Benson, I. Prebec, N. Engdahl, and L. Schauer) submitted.

65. "Modified Scattering of Solutions to the Relativistic Vlasov-Maxwell System Inside the Light Cone" (with J. Ben-Artzi) submitted.

64. "An unsupervised multi-objective feature selection method with applications to environmental and demographic data in Brazil" (with K. Martinez, C. Manore, S. Del Valle, G. Fairchild, A. Ziemen, A. Siraj) submitted.

2024

63. "Global Sensitivity Analysis of Plasma Instabilities via Active Subspaces" (with S. Terrab) Communications in Nonlinear Science and Numerical Simulation (2024) 134: 107994 (.pdf).

62. "Three-stage modeling of HIV Infection and Implications for Antiretroviral Therapy" (with C. Clarke) Journal of Mathematical Biology (2024) 88(3): 34 (.pdf).

61. "Asymptotic Growth and Decay of Two-dimensional Symmetric Plasmas" (with J. Ben-Artzi and B. Morisse) Kinetic and Related Models (2024) 17(1): 29-51 (.pdf). 

2023

60. "Scattering and Asymptotic Behavior of Solutions to the Vlasov-Poisson system in High Dimension" SIAM Journal on Mathematical Analysis (2023) 55(5): 4727-4750 (.pdf).

59. "Parallelized Domain Decomposition for Multi-Dimensional Lagrangian Random Walk, Mass-Transfer Particle Tracking Schemes" (with L. Schauer, D. Benson, M. Schmidt, N. Engdahl, and D. Bolster) Geoscientific Model Development (2023) 16: 833–849 (.pdf).

2022

58. “Spatially-heterogeneous embedded stochastic SEIR models for the 2014-2016 Ebola outbreak in West Africa” (with K. Martinez and G. Brown) Spatial and Spatio-temporal Epidemiology (2022) 41: 100505 (.pdf).

57. "Asymptotic Dynamics of Dispersive, Collisionless Plasmas" Communications in Mathematical Physics (2022) 391: 455-493 (.pdf).

56. "A toy model for the relativistic Vlasov-Maxwell system" (with J. Ben-Artzi and J. Zhang) Kinetic and Related Models (2022) 15: 341-354 (.pdf).

2021

55. "Exact Large-time Behavior of Spherically-Symmetric Plasmas" SIAM Journal on Mathematical Analysis (2021) 53(4): 4474-4512 (.pdf).

54. "A Computational Information Criterion for Particle-tracking with Sparse or Noisy data" (with N. Tran, M. Schmidt, and D. Benson) Advances in Water Resources (2021) 151: 103893 (.pdf).

53. "Nonparametric, data-based kernel interpolation for particle-tracking simulations and kernel density estimation" (with D. Benson, D. Bolster, and M. Schmidt) Advances in Water Resources (2021) 152: 103889 (.pdf).

2020

52. "Reactive Particle-tracking Solutions to a Benchmark Problem on Heavy Metal Cycling in Lake Sediments" (with M. Schmidt, A. Navarre-Sitchler, N. Engdahl, D. Bolster, and D. Benson) Journal of Contaminant Hydrology (2020) 234: 103642 (.pdf).

51. "A Mass-transfer Particle-tracking Method for Simulating Transport with Discontinuous Diffusion Coefficients" (with M. Schmidt, N. Engdahl, and D. Bolster) Advances in Water Resources (2020) 140: 103577 (.pdf).

50. "Bistable dynamics and Hopf bifurcation in an early stage model of HIV infection" (with N. Neri and D. Shutt) Discrete and Continuous Dynamical Systems B (2020) 25(8): 2867-2893 (.pdf).

49. "Entropy: (1) The former trouble with particle-tracking simulation and (2) a measure of computational information penalty" (with D. Benson, M. Schmidt, and G. Sole-Mari) Advances in Water Resources (2020) 137: 103509 (.pdf).

48. "Linear Vector Spaces & Applications", Open Mines Collection (2020) (.pdf).

2019

47. "Concentrating solutions of the relativistic Vlasov-Maxwell system" (with J. Ben-Artzi and S. Calogero) Communications in Mathematical Sciences (2019) 17(2): 377-392 (.pdf).

46. "A Lagrangian method for reactive transport with solid/aqueous chemical phase interaction" (with M. Schmidt, A. Navarre-Sitchler, and D. Benson) Journal of Computational Physics X (2019) 2: 100021 (.pdf).

45. "Numerical Equivalence Between SPH and Probabilistic Mass Transfer Methods for Lagrangian Simulation of Dispersion" (with G. Sole-Mari, M. Schmidt, and D. Benson) Advances in Water Resources (2019) 126: 108-115 (.pdf).

44. "On the separate treatment of mixing and spreading by the reactive-particle-tracking algorithm: An example of accurate upscaling of reactive Poiseuille flow" (with D. Benson and D. Bolster) Advances in Water Resources (2019) 123: 40-53 (.pdf)

2018

43. "Arbitrarily large solutions of the Vlasov-Poisson system" (with J. Ben-Artzi and S. Calogero) SIAM Journal on Mathematical Analysis (2018) 50(4): 4311-4326 (.pdf)

42. "On the accuracy of random-walk particle-based mass-transfer algorithms" (with M. Schmidt and D. Benson) Advances in Water Resources (2018) 117: 115-119 (.pdf)

41. "On the spatially homogeneous and isotropic Einstein-Vlasov-Fokker-Planck system with cosmological scalar field" (with S. Calogero) Kinetic and Related Models (2018) 11(5): 1063-1083 (.pdf)

40. "A modified SEIR Model for the spread of Ebola in Western Africa and metrics for resource allocation" (with C. Sandridge, E. Jones, K. Kalmbach, P. Constantine, and P. Diaz) Applied Mathematics and Computation (2018) 324(1): 141-155 (.pdf)

2017

39. “Estimating the reproductive number, total outbreak size, and reporting rates for Zika epidemics in South and Central America” (with D. Shutt, C. Manore, S. Del Valle, and A. Porter) Epidemics (2017) 21: 63-79 (.pdf)

38. "Erratum to `Global Classical Solutions of the "One and one-half dimensional" Vlasov-Maxwell-Fokker-Planck system'” (with J. Schaeffer) Communications in Mathematical Sciences (2017) 15: 1791-1799 (.pdf)

37. "A Kernel-based Lagrangian Method for Imperfectly-Mixed Chemical Reactions," (with M. Schmidt and D. Benson) Journal of Computational Physics (2017) 336: 288-307 (.pdf)

36. "Mathematical Analysis and Dynamic Active Subspaces for a long term model of HIV" (with T. Loudon) Mathematical Biosciences and Engineering (2017) 14(3): 709-733 (.pdf)

2016

35. "Preparing Graduates for Careers in the Mathematical Sciences: NSF Programs Offer Unique Real-World Experience" (with S. Minkoff, W. Menasco, F. Santosa, and R. Laugesen) SIAM News 49 (10), December 2016 (.pdf)

34. "Separated Characteristics and Global Solvability for the One and one half dimensional Vlasov Maxwell System'" (with J. Schaeffer and R. Glassey) Kinetic and Related Models 9 (2016) 455-467 (.pdf)

33. "Global Classical Solutions of the "One and one-half dimensional" Vlasov-Maxwell-Fokker-Planck system” (with J. Schaeffer) Communications in Mathematical Sciences 14 (2016) 209–232 (.pdf)

32. "Mathematical Analysis of an in-host Model of Viral Dynamics with Spatial Heterogeneity" (with C. Parkinson) Discrete and Continuous Dynamical Systems B (2016) 21(4): 1237-1257 (.pdf)

31. “The effects of latent infection on the dynamics of HIV” Differential Equations and Dynamical Systems (2016) 24(3): 281-303 (.pdf)

2015

30. "A Short Proof of Increased Parabolic Regularity" (with N. Michalowski) Electronic Journal of Differential Equations 205 (2015) 1-9 (.pdf)

29. “Global Classical Solutions to the One and one-half dimensional relativistic Vlasov-Maxwell-Fokker-Planck system” (with N. Michalowski) Kinetic and Related Models 8 (2015) 169-199 (.pdf)

28. "An in-host model of HIV incorporating Latent Infection and Viral Mutation" (with D. Shutt), Dynamical Systems, Differential Equations, and Applications, AIMS Proceedings (2015) 913-922 (.pdf)

27. “Principal Components Analysis: Resources for an essential application of Linear Algebra" (with R. Swanson) Problems, Resources, and Issues in Mathematics Undergraduate Studies (2015), 25 (5) 400-420 (.pdf)

26. "A Review of Two Multiscale Methods for the Simulation of Macromolecular Assemblies: Multiscale Perturbation and Multiscale Factorization" (with P. Ortoleva) Computation 3 (2015) 29-57 (.pdf)

2014

25. “Instability of some BGK Waves for the Vlasov-Poisson System” (with R. Allen) European Physical Journal D 68 (2014) 363-370 (.pdf)

24. “A One-dimensional Kinetic Model of Plasma Dynamics with a Transport Field" (with C. Nguyen) Evolution Equations and Control Theory 3 (2014) 681-698 (.pdf)

23. “Spatially homogeneous solutions of the Vlasov-Nordstrom-Fokker-Planck System” (with J. Felix and S. Calogero) Journal of Differential Equations 257 (2014) 3700-3729 (.pdf)

22. “Analysis and Simulation of the three-component model of HIV dynamics” (with M. Raghupathi; advisors/sponsors for P. Roemer and E. Jones) SIAM Undergraduate Research Online 7 (2014) 89-106 (.pdf)

2013

21.“Hierarchical Multiscale Modeling of Macromolecules and their Assemblies” (with P. Ortoleva and A. Singharoy) Soft Matter 9 (2013) 4319-4335 (.pdf)

20. “Nonlinear instability of solutions in parabolic and hyperbolic diffusion” (with P. Radu) Evolution Equations and Control Theory 2 (2013) 403-422 (.pdf)

2012

19. “Nanosystem Self-Assembly Pathways Discovered via All-Atom Multiscale Analysis” (with P. Ortoleva) J. Phys. Chem. B. 116 (2012) 8355-8362 (.pdf)

18. “A Particle Method for a Collisionless Plasma with Infinite Charge” Mathematics and Computers in Simulation 82 (2012) 1278-1286 (.pdf)

2011

17. “Computational Methods for a One-dimensional Plasma Model with a Transport Field” (advisor/sponsor for D. Brewer) SIAM Undergraduate Research Online 4 (2011) 81-104 (.pdf)

2010

16. “Large Time Behavior of the Relativistic Vlasov-Maxwell System in Low Space Dimension” (with J. Schaeffer and R. Glassey) Differential & Integral Equations 23 (2010) 61-77 (.pdf) 

15. “Time Decay for Solutions to the One-dimensional Equations of Plasma Dynamics” (with J. Schaeffer and R. Glassey) Quarterly of Applied Mathematics 68 (2010) 135-141 (.pdf)

14. “Multiscaling for Systems with a Broad Continuum of Characteristic of Lengths and Times: Structural Transitions in Nanocomposites” (with P. Ortoleva) J. Math. Phys. 51 (2010) 063303 (.pdf)

13. "Time Decay for Solutions to One-dimensional Equations of Plasma Dynamics" (with J. Schaeffer and R. Glassey), In Proceedings of the Brown University Conference on Nonlinear Wave Equations in Honor of Walter A. Strauss on his 70th Birthday, edited by Walter Freiberger,  American Mathematical Society (2010).

2009

12. “On Long-time Behavior of Monocharged and Neutral Plasmas in ‘One and one-half ’ Dimensions” (with J. Schaeffer and R. Glassey) Kinetic and Related Models 2 (2009) 465-488 (.pdf)

11. “Liquid-crystal transitions: A first-principles multiscale approach” (with Z. Shreif and P. Ortoleva) Phys. Rev. E. 80 (2009) 031703 (.pdf)

10. “Self-Assembly of Nanocomponents into Composite Structures: Derivation and Simulation of Langevin Equations” (with Z. Shreif, Y. Miao, and P. Ortoleva) J. Chem. Phys. 130 (2009) 194115 (.pdf)  - Featured in Virtual Journal of Nanoscale Science and Technology, Volume 19, Issue 22 (2009)

9. “Multiscale Theory of Boson Droplets: Implications for Collective and Single-Particle Excitations” (with Z. Shreif, Y. Chen, and P. Ortoleva) Phys. Rev. A. 79 (2009), 013628 (.pdf) 

2008

8. “Decay in Time for a One-Dimensional, Two Component Plasma” (with J. Schaeffer and R. Glassey), Math. Meth. Appl. Sci. 31 (2008) 2115–2132 (.pdf)

7. “Explicit solutions for the One-Dimensional Vlasov-Poisson System with Infinite Mass.” Math. Meth. Appl. Sci. 31 (2008), 375-389 (.pdf)

6. “Multiscaling for Classical Nanosystems: Derivation of Smoluchowski and Fokker-Planck Equations” (with Z. Shreif and P. Ortoleva) Physica A  387 (2008), 4053–4069 (.pdf)

5. “Stochastic Dynamics of Bionanosystems: Multiscale Analysis and Specialized Ensembles” (with Y. Miao, J. Ortoleva, Z. Shreif, and P. Ortoleva) J. Chem. Phys. 128 (2008) 234908 (.pdf) - Featured in Virtual Journal of Biological Physics, Volume 16, Issue 1 (2008) & Virtual Journal of Nanoscale Science and Technology, Volume 18, Issue 1 (2008) 

2007

4. “Global Existence and Increased Spatial Decay for the Radial Vlasov-Poisson System with Steady Spatial Asymptotics.” Trans. Theory Stat. Phys. 36 (2007), 531–562 (.pdf)

3. “Recent Trends in the Kinetic Theory of Plasma Physics”, Proceedings of the International Conference on Trends and Challenges in Applied Mathematics (2007).

2. “Local Existence for the One-Dimensional Vlasov-Poisson System with Infinite Mass.” Math. Meth. Appl. Sci. 30 (2007) 529-548 (.pdf)

2006

1. “Global Existence for the Three-Dimensional Vlasov-Poisson System with Steady Spatial Asymptotics.” Communications in PDE 31 (2006) 349-370 (.pdf)