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  1. On the relationship between Koopman operator approximations and neural ordinary differential equations for data-driven time-evolution predictions

    Article • Chaos An Interdisciplinary Journal of Nonlinear Science, April 2025, American Institute of Physics

    Michael David Graham

  2. Enhancing predictive capabilities in data-driven dynamical modeling with automatic differentiation: Koopman and neural ODE approaches

    Article • Chaos An Interdisciplinary Journal of Nonlinear Science, April 2024, American Institute of Physics

    Michael David Graham

  3. Data-driven reduced-order modeling of spatiotemporal chaos with neural ordinary differential equations

    Article • Chaos An Interdisciplinary Journal of Nonlinear Science, July 2022, American Institute of Physics

    Michael David Graham

  4. Coil–stretch-like transition of elastic sheets in extensional flows

    Article • Soft Matter, January 2021, Royal Society of Chemistry

    Michael David Graham

  5. Discovering multiscale and self-similar structure with data-driven wavelets

    Article • Proceedings of the National Academy of Sciences, December 2020, Proceedings of the National Academy of Sciences

    Michael David Graham

  6. Low- and High-Drag Intermittencies in Turbulent Channel Flows

    Article • Entropy, October 2020, MDPI AG

    Michael David Graham

  7. Deep learning to discover and predict dynamics on an inertial manifold

    Article • June 2020, American Physical Society (APS)

    Michael David Graham

  8. Self-sustained elastoinertial Tollmien–Schlichting waves

    Article • Journal of Fluid Mechanics, June 2020, Cambridge University Press

    Michael David Graham

  9. Flow-induced segregation and dynamics of red blood cells in sickle cell disease

    Article • Physical Review Fluids, May 2020, American Physical Society (APS)

    Michael David Graham

  10. Multiplicity of stable orbits for deformable prolate capsules in shear flow

    Article • Physical Review Fluids, February 2020, American Physical Society (APS)

    Michael David Graham

  11. An experimental investigation into spatiotemporal intermittencies in turbulent channel flow close to transition

    Article • Experiments in Fluids, May 2019, Springer Science + Business Media

    Michael David Graham

  12. Dynamics of deformable straight and curved prolate capsules in simple shear flow

    Article • Physical Review Fluids, April 2019, American Physical Society (APS)

    Michael David Graham

  13. Critical-Layer Structures and Mechanisms in Elastoinertial Turbulence

    Article • Physical Review Letters, March 2019, American Physical Society (APS)

    Michael David Graham

  14. Impacts of multiflagellarity on stability and speed of bacterial locomotion

    Article • October 2018, American Physical Society (APS)

    Michael David Graham

  15. Microhydrodynamics, Brownian Motion, and Complex Fluids

    Article • August 2018, Cambridge University Press

    Michael David Graham

  16. Exact coherent states with hairpin-like vortex structure in channel flow

    Article • Journal of Fluid Mechanics, June 2018, Cambridge University Press

    Michael David Graham

  17. Polymer turbulence with Reynolds and Riemann

    Article • Journal of Fluid Mechanics, June 2018, Cambridge University Press

    Michael David Graham

  18. Pressure-driven flow of lignocellulosic biomass: A compressible Bingham fluid

    Article • Journal of Rheology, May 2018, Society of Rheology

    Michael David Graham

  19. Bursting and critical layer frequencies in minimal turbulent dynamics and connections to exact coherent states

    Article • Physical Review Fluids, January 2018, American Physical Society (APS)

    Michael David Graham

  20. Mechanistic constitutive model for wormlike micelle solutions with flow-induced structure formation

    Article • Journal of Non-Newtonian Fluid Mechanics, January 2018, Elsevier

    Michael David Graham

  21. Spatiotemporal dynamics of viscoelastic turbulence in transitional channel flow

    Article • Journal of Non-Newtonian Fluid Mechanics, June 2017, Elsevier

    Michael David Graham

  22. Low-drag events in transitional wall-bounded turbulence

    Article • Physical Review Fluids, March 2017, American Physical Society (APS)

    Michael David Graham

  23. Buckling Instabilities and Complex Trajectories in a Simple Model of Uniflagellar Bacteria

    Article • Biophysical Journal, March 2017, Elsevier

    Michael David Graham

  24. Temporal and spatial intermittencies within channel flow turbulence near transition

    Article • Physical Review Fluids, February 2017, American Physical Society (APS)

    Michael David Graham

  25. Dynamics of Miura-patterned foldable sheets in shear flow

    Article • Soft Matter, January 2017, Royal Society of Chemistry

    Michael David Graham

  26. Mechanistic theory of margination and flow-induced segregation in confined multicomponent suspensions: Simple shear and Poiseuille flows

    Article • Physical Review Fluids, October 2016, American Physical Society (APS)

    Michael David Graham

  27. Low-dimensional representations of exact coherent states of the Navier-Stokes equations from the resolvent model of wall turbulence

    Article • February 2016, American Physical Society (APS)

    Michael David Graham

  28. Cellular softening mediates leukocyte demargination and trafficking, thereby increasing clinical blood counts

    Article • Proceedings of the National Academy of Sciences, February 2016, Proceedings of the National Academy of Sciences

    Michael David Graham

  29. Shape-mediated margination and demargination in flowing multicomponent suspensions of deformable capsules

    Article • Soft Matter, January 2016, Royal Society of Chemistry

    Michael David Graham

  30. Dynamics of a single red blood cell in simple shear flow

    Article • Physical Review E, October 2015, American Physical Society (APS)

    Michael David Graham

  31. Turbulence spreads like wildfire

    Article • Nature, October 2015, Springer Science + Business Media

    Michael David Graham

  32. Margination Regimes and Drainage Transition in Confined Multicomponent Suspensions

    Article • Physical Review Letters, May 2015, American Physical Society (APS)

    Michael David Graham

  33. Drag reduction and the dynamics of turbulence in simple and complex fluids

    Article • Physics of Fluids, October 2014, American Institute of Physics

    Michael David Graham

  34. Shear-induced diffusion in dilute curved fiber suspensions in simple shear flow

    Article • Physics of Fluids, March 2014, American Institute of Physics

    Michael David Graham

  35. Time-series and extended Karhunen-Loève analysis of turbulent drag reduction in polymer solutions

    Article • AIChE Journal, February 2014, Wiley

    Michael David Graham

  36. Flow-induced segregation in confined multicomponent suspensions: effects of particle size and rigidity

    Article • Journal of Fluid Mechanics, December 2013, Cambridge University Press

    Michael David Graham

  37. Flipping, scooping, and spinning: Drift of rigid curved nonchiral fibers in simple shear flow

    Article • Physics of Fluids, December 2012, American Institute of Physics

    Michael David Graham

  38. Mechanism of Margination in Confined Flows of Blood and Other Multicomponent Suspensions

    Article • Physical Review Letters, September 2012, American Physical Society (APS)

    Michael David Graham

  39. Accelerated boundary integral method for multiphase flow in non-periodic geometries

    Article • Journal of Computational Physics, August 2012, Elsevier

    Michael David Graham

  40. Depletion layer formation in suspensions of elastic capsules in Newtonian and viscoelastic fluids

    Article • Physics of Fluids, June 2012, American Institute of Physics

    Michael David Graham

  41. Intermittent dynamics of turbulence hibernation in Newtonian and viscoelastic minimal channel flows

    Article • Journal of Fluid Mechanics, January 2012, Cambridge University Press

    Michael David Graham

  42. Dynamics on the Laminar-Turbulent Boundary and the Origin of the Maximum Drag Reduction Asymptote

    Article • Physical Review Letters, January 2012, American Physical Society (APS)

    Michael David Graham

  43. An immersed boundary method for Brownian dynamics simulation of polymers in complex geometries: Application to DNA flowing through a nanoslit with embedded nanopits

    Article • The Journal of Chemical Physics, January 2012, American Institute of Physics

    Michael David Graham

  44. Margination and segregation in confined flows of blood and other multicomponent suspensions

    Article • Soft Matter, January 2012, Royal Society of Chemistry

    Michael David Graham

  45. Segregation by membrane rigidity in flowing binary suspensions of elastic capsules

    Article • Physical Review E, December 2011, American Physical Society (APS)

    Michael David Graham

  46. Correlations and fluctuations of stress and velocity in suspensions of swimming microorganisms

    Article • Physics of Fluids, December 2011, American Institute of Physics

    Michael David Graham

  47. Streamwise variation of turbulent dynamics in boundary layer flow of drag-reducing fluid

    Article • Journal of Fluid Mechanics, September 2011, Cambridge University Press

    Michael David Graham

  48. Coexistence of tight and loose bundled states in a model of bacterial flagellar dynamics

    Article • Physical Review E, July 2011, American Physical Society (APS)

    Michael David Graham

  49. Introduction to the XVIth International Workshop on Numerical Methods for Non-Newtonian Flows

    Article • Journal of Non-Newtonian Fluid Mechanics, June 2011, Elsevier

    Michael David Graham

  50. Fluid Dynamics of Dissolved Polymer Molecules in Confined Geometries

    Article • Annual Review of Fluid Mechanics, January 2011, Annual Reviews

    Michael David Graham

  51. Streamwise Variations in Turbulence Statistics in Drag-Reducing Turbulent Boundary Layer of Viscoelastic Fluids

    Article • January 2011, ASME International

    Michael David Graham

  52. Pair collisions of fluid-filled elastic capsules in shear flow: Effects of membrane properties and polymer additives

    Article • Physics of Fluids, December 2010, American Institute of Physics

    Michael David Graham

  53. Active and Hibernating Turbulence in Minimal Channel Flow of Newtonian and Polymeric Fluids

    Article • Physical Review Letters, May 2010, American Physical Society (APS)

    Michael David Graham

  54. Turbulent drag reduction and multistage transitions in viscoelastic minimal flow units

    Article • Journal of Fluid Mechanics, March 2010, Cambridge University Press

    Michael David Graham

  55. Tethered DNA dynamics in shear flow

    Article • The Journal of Chemical Physics, June 2009, American Institute of Physics

    Michael David Graham

  56. Dynamics of confined suspensions of swimming particles

    Article • Journal of Physics Condensed Matter, April 2009, Institute of Physics Publishing

    Michael David Graham

  57. A mechanism for oscillatory instability in viscoelastic cross-slot flow

    Article • Journal of Fluid Mechanics, March 2009, Cambridge University Press

    Michael David Graham

  58. Multiple free energy minima in systems of confined tethered polymers—toward soft nanomechanical bistable elements

    Article • Soft Matter, January 2009, Royal Society of Chemistry

    Michael David Graham

  59. Dynamics of virus spread in the presence of fluid flow

    Article • Integrative Biology, January 2009, Oxford University Press (OUP)

    Michael David Graham

  60. Diffusion and Spatial Correlations in Suspensions of Swimming Particles

    Article • Physical Review Letters, June 2008, American Physical Society (APS)

    Michael David Graham

  61. Enhancement of mixing and adsorption in microfluidic devices by shear-induced diffusion and topography-induced secondary flow

    Article • Physics of Fluids, May 2008, American Institute of Physics

    Michael David Graham

  62. The effect of hydrodynamic interactions on the dynamics of DNA translocation through pores

    Article • The Journal of Chemical Physics, February 2008, American Institute of Physics

    Michael David Graham

  63. Methods for Generation of Spatial Gradients in Concentration of Monomeric Surfactants and Micelles in Microfluidic Systems

    Article • Langmuir, September 2007, American Chemical Society (ACS)

    Michael David Graham

  64. Modeling DNA in Confinement:  A Comparison between the Brownian Dynamics and Lattice Boltzmann Method

    Article • Macromolecules, August 2007, American Chemical Society (ACS)

    Michael David Graham

  65. Polymer induced drag reduction in exact coherent structures of plane Poiseuille flow

    Article • Physics of Fluids, August 2007, American Institute of Physics

    Michael David Graham

  66. Shear-induced diffusion in dilute suspensions of spherical or nonspherical particles: Effects of irreversibility and symmetry breaking

    Article • Physics of Fluids, July 2007, American Institute of Physics

    Michael David Graham

  67. Fast Computation of Many-Particle Hydrodynamic and Electrostatic Interactions in a Confined Geometry

    Article • Physical Review Letters, April 2007, American Physical Society (APS)

    Michael David Graham

  68. Simulation of nonlinear shear rheology of dilute salt-free polyelectrolyte solutions

    Article • The Journal of Chemical Physics, March 2007, American Institute of Physics

    Michael David Graham

  69. A single-molecule barcoding system using nanoslits for DNA analysis

    Article • Proceedings of the National Academy of Sciences, February 2007, Proceedings of the National Academy of Sciences

    Michael David Graham

  70. Cross-stream-line migration in confined flowing polymer solutions: Theory and simulation

    Article • Physics of Fluids, December 2006, American Institute of Physics

    Michael David Graham

  71. NlogN method for hydrodynamic interactions of confined polymer systems: Brownian dynamics

    Article • The Journal of Chemical Physics, October 2006, American Institute of Physics

    Michael David Graham

  72. Nonlinear travelling waves as a framework for understanding turbulent drag reduction

    Article • Journal of Fluid Mechanics, September 2006, Cambridge University Press

    Michael David Graham

  73. Cross-Stream Migration of Flexible Molecules in a Nanochannel

    Article • Physical Review Letters, June 2006, American Physical Society (APS)

    Michael David Graham

  74. Concentration dependence of shear and extensional rheology of polymer solutions: Brownian dynamics simulations

    Article • Journal of Rheology, March 2006, Society of Rheology

    Michael David Graham

  75. Transport and Collective Dynamics in Suspensions of Confined Swimming Particles

    Article • Physical Review Letters, November 2005, American Physical Society (APS)

    Michael David Graham

  76. Theory of shear-induced migration in dilute polymer solutions near solid boundaries

    Article • Physics of Fluids, August 2005, American Institute of Physics

    Michael David Graham

  77. DNA Molecules in Microfluidic Oscillatory Flow

    Article • Macromolecules, July 2005, American Chemical Society (ACS)

    Michael David Graham

  78. Role of Desorption Kinetics in Determining Marangoni Flows Generated by Using Electrochemical Methods and Redox-Active Surfactants

    Article • Langmuir, March 2005, American Chemical Society (ACS)

    Michael David Graham

  79. Conformation and dynamics of single DNA molecules in parallel-plate slit microchannels

    Article • Physical Review E, December 2004, American Physical Society (APS)

    Michael David Graham

  80. Publisher’s Note: “Polymer drag reduction in exact coherent structures of plane shear flow” [Phys. Fluids 16, 3470 (2004)]

    Article • Physics of Fluids, December 2004, American Institute of Physics

    Michael David Graham

  81. Numerical modeling of two-fluid Taylor–Couette flow with deformable capillary liquid–liquid interface

    Article • Physics of Fluids, November 2004, American Institute of Physics

    Professor Alexander Yuri Gelfgat, Michael David Graham

  82. A Microfluidic System for Large DNA Molecule Arrays

    Article • Analytical Chemistry, September 2004, American Chemical Society (ACS)

    Michael David Graham

  83. Polymer drag reduction in exact coherent structures of plane shear flow

    Article • Physics of Fluids, August 2004, American Institute of Physics

    Michael David Graham

  84. An externally driven magnetic microstirrer

    Article • Philosophical Transactions of the Royal Society A Mathematical Physical and Engineering Sciences, May 2004, Royal Society Publishing

    Michael David Graham

  85. Publisher’s Note: “Shear-induced migration in flowing polymer solutions: Simulation of long-chain DNA in microchannels” [J. Chem. Phys. 120, 2513 (2004)]

    Article • The Journal of Chemical Physics, April 2004, American Institute of Physics

    Michael David Graham

  86. Shear-induced migration in flowing polymer solutions: Simulation of long-chain DNA in microchannels

    Article • The Journal of Chemical Physics, February 2004, American Institute of Physics

    Michael David Graham

  87. DNA Dynamics in a Microchannel

    Article • Physical Review Letters, July 2003, American Physical Society (APS)

    Michael David Graham

  88. Effect of confinement on DNA dynamics in microfluidic devices

    Article • The Journal of Chemical Physics, July 2003, American Institute of Physics

    Michael David Graham

  89. Coarse Brownian dynamics for nematic liquid crystals: Bifurcation, projective integration, and control via stochastic simulation

    Article • The Journal of Chemical Physics, June 2003, American Institute of Physics

    Michael David Graham

  90. Structure evolution in electrorheological and magnetorheological suspensions from a continuum perspective

    Article • Journal of Applied Physics, May 2003, American Institute of Physics

    Jeff Morris, Michael David Graham

  91. Polymer dynamics in a model of the turbulent buffer layer

    Article • Physics of Fluids, May 2003, American Institute of Physics

    Michael David Graham

  92. Interfacial hoop stress and instability of viscoelastic free surface flows

    Article • Physics of Fluids, January 2003, American Institute of Physics

    Michael David Graham

  93. A method for multiscale simulation of flowing complex fluids

    Article • Journal of Non-Newtonian Fluid Mechanics, December 2002, Elsevier

    Michael David Graham

  94. Influence of Surface Tension-Driven Convection on Cyclic Voltammograms of Langmuir Films of Redox-Active Amphiphiles

    Article • Langmuir, December 2002, American Chemical Society (ACS)

    Michael David Graham

  95. Toward a Structural Understanding of Turbulent Drag Reduction: Nonlinear Coherent States in Viscoelastic Shear Flows

    Article • Physical Review Letters, October 2002, American Physical Society (APS)

    Michael David Graham

  96. Stochastic simulations of DNA in flow: Dynamics and the effects of hydrodynamic interactions

    Article • The Journal of Chemical Physics, May 2002, American Institute of Physics

    Michael David Graham

  97. Pattern Formation in Flowing Electrorheological Fluids

    Article • Physical Review Letters, April 2002, American Physical Society (APS)

    Jeff Morris, Michael David Graham

  98. Finite-amplitude solitary states in viscoelastic shear flow: computation and mechanism

    Article • Journal of Fluid Mechanics, September 2001, Cambridge University Press

    Michael David Graham

  99. Slip, Concentration Fluctuations, and Flow Instability in Sheared Polymer Solutions

    Article • Macromolecules, August 2001, American Chemical Society (ACS)

    Michael David Graham

  100. Comment on “Convective Nonlinearity in Non-Newtonian Fluids”

    Article • Physical Review Letters, January 2001, American Physical Society (APS)

    Michael David Graham

  101. Mass transport in a novel two-fluid taylor vortex extractor

    Article • AIChE Journal, December 2000, Wiley

    Michael David Graham

  102. Solitary Coherent Structures in Viscoelastic Shear Flow: Computation and Mechanism

    Article • Physical Review Letters, November 2000, American Physical Society (APS)

    Michael David Graham

  103. Hydrodynamic interactions in long chain polymers: Application of the Chebyshev polynomial approximation in stochastic simulations

    Article • The Journal of Chemical Physics, August 2000, American Institute of Physics

    Michael David Graham

  104. Symmetric diblock copolymer thin films confined between homogeneous and patterned surfaces: Simulations and theory

    Article • The Journal of Chemical Physics, June 2000, American Institute of Physics

    Michael David Graham

  105. Buckling instabilities in models of viscoelastic free surface flows

    Article • Journal of Non-Newtonian Fluid Mechanics, March 2000, Elsevier

    Michael David Graham

  106. Stability of viscoelastic shear flows subjected to parallel flow superposition

    Article • Physics of Fluids, January 2000, American Institute of Physics

    Michael David Graham

  107. Prediction of mass transfer rates in spatially periodic flows

    Article • Chemical Engineering Science, February 1999, Elsevier

    Michael David Graham

  108. Effect of pressure-dependent slip on flow curve multiplicity

    Article • Rheologica Acta, June 1998, Springer Science + Business Media

    Michael David Graham

  109. Dynamics of concentration patterns of the NO + CO reaction on Pt: Analysis with the Karhunen-Loève decomposition

    Article • Chaos Solitons & Fractals, October 1995, Elsevier

    Michael David Graham

  110. Catalysis on microstructured surfaces: Pattern formation during CO oxidation in complex Pt domains

    Article • July 1995, American Physical Society (APS)

    Michael David Graham

  111. Wall slip and the nonlinear dynamics of large amplitude oscillatory shear flows

    Article • Journal of Rheology, July 1995, Society of Rheology

    Michael David Graham

  112. Plume formation and resonant bifurcations in porous-media convection

    Article • Journal of Fluid Mechanics, August 1994, Cambridge University Press

    Michael David Graham

  113. Computational efficiency and approximate inertial manifolds for a Bénard convection system

    Article • Journal of Nonlinear Science, December 1993, Springer Science + Business Media

    Michael David Graham

  114. Pulses and global bifurcations in a nonlocal reaction-diffusion system

    Article • October 1993, American Physical Society (APS)

    Michael David Graham

  115. Spatiotemporal temperature patterns during hydrogen oxidation on a nickel disk

    Article • AIChE Journal, September 1993, Wiley

    Michael David Graham

  116. Patterns of temperature pulses on electrically heated catalytic ribbons

    Article • Physica D Nonlinear Phenomena, March 1993, Elsevier

    Michael David Graham

  117. Strongly interacting travelling waves and quasiperiodic dynamics in porous medium convection

    Article • Physica D Nonlinear Phenomena, January 1992, Elsevier

    Michael David Graham